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24:[["$","$L33",null,{"feature":"flashcards"}],"$L34",["$","$L35",null,{"href":"/igcse/maths/cie/grade-2-2-2-using-a-calculator/flashcards","label":"Using a Calculator","subjectCode":"igcse_maths__cie","surface":"flashcards"}],["$","$L36",null,{"runner":["$","div",null,{"className":"min-h-0 flex-1 overflow-hidden bg-background","children":["$","$L37",null,{"decks":[{"id":"988440f7-cfc3-4298-849c-45afa334995b","title":"Using a Calculator Flashcards","topicId":"2b972b56-5b53-421b-a771-e9ad3f18f36c","topicSlug":"grade-2-2-2-using-a-calculator","cards":[{"id":"e84ed965-ad7e-4b01-9288-a0852a68969e","cardType":"basic","points":1,"front":"When asked for all figures on the calculator display, what should you write?","back":"Every digit shown on your own display, not a rounded answer.","mcqOptions":[{"text":"Every digit shown on your own display, not a rounded answer.","correct":true,"explanation":"Calculator models may display different numbers of digits, so you should copy every digit visible on your own screen rather than rounding the value."},{"text":"Every digit shown before the decimal point, not the decimal digits.","correct":false,"explanation":"Ignoring digits after the decimal point removes important precision. The instruction means copying every digit shown on your own calculator display without rounding."},{"text":"The answer rounded to three significant figures, not every displayed digit.","correct":false,"explanation":"Three significant figures is only appropriate when specifically requested. For all display figures, copy every digit visible on your own calculator screen."},{"text":"The answer rounded to two decimal places, not every displayed digit.","correct":false,"explanation":"Rounding to two decimal places changes the displayed value and loses digits. You must instead write every digit shown on your own calculator display."}]},{"id":"e8c3c7e2-af6b-407f-bc8d-b46e08a7d124","cardType":"basic","points":1,"front":"If a calculator shows an exact fraction or surd but a decimal display is needed, what key can you use?","back":"Use the decimal toggle: S⇔D, F⇔D or ≈.","mcqOptions":[{"text":"Use the decimal toggle: S⇔D, F⇔D or ≈.","correct":true,"explanation":"These calculator keys switch an exact fraction or surd into its decimal form, although the precise label varies between calculator models."},{"text":"Use the memory key: M+, M− or MR.","correct":false,"explanation":"Memory keys store, subtract or recall calculator values; they do not change an exact form into a decimal. Use S⇔D, F⇔D or ≈ instead."},{"text":"Use the editing key: DEL, AC or C.","correct":false,"explanation":"These keys delete entries or clear calculations rather than changing the answer format. Use the S⇔D, F⇔D or ≈ decimal toggle."},{"text":"Use the operation key: ×, ÷ or =.","correct":false,"explanation":"Operation and equals keys perform or complete calculations, but they do not toggle the displayed form. Use S⇔D, F⇔D or ≈ for a decimal."}]},{"id":"6440b86a-ebe4-482f-95c2-68a5ccf066dc","cardType":"cloze","points":null,"front":"Squaring and square rooting [ ].","back":"Squaring and square rooting undo each other.","mcqOptions":[{"text":"undo each other","correct":true,"explanation":"Squaring a number and then taking its square root returns the original non-negative number, so the two operations undo each other in this context."},{"text":"always double numbers","correct":false,"explanation":"Squaring means multiplying a number by itself, not doubling it. Squaring and square rooting are inverse operations, so they undo each other."},{"text":"give identical answers","correct":false,"explanation":"A number’s square and square root are generally different values. The correct relationship is that squaring and square rooting undo each other."},{"text":"both halve numbers","correct":false,"explanation":"Neither operation generally means dividing by two. Squaring and square rooting are inverse operations, meaning that they undo each other."}]},{"id":"be039fcc-b980-4c4e-814d-1ed828ccdbc4","cardType":"basic","points":1,"front":"What multiplication does $1.25^2$ represent?","back":"$1.25 \\times 1.25$.","mcqOptions":[{"text":"$1.25 \\times 1.25$.","correct":true,"explanation":"An exponent of 2 means multiplying the base by itself once, so $1.25^2$ represents $1.25 \\times 1.25$."},{"text":"$1.25 \\times 2$.","correct":false,"explanation":"This treats squaring as doubling, which is a common misconception. An exponent of 2 means multiplying $1.25$ by itself: $1.25 \\times 1.25$."},{"text":"$1.25 \\times 1.2$.","correct":false,"explanation":"The second factor must be the complete base, not a shortened version of it. Therefore, $1.25^2$ represents $1.25 \\times 1.25$."},{"text":"$1.25 \\times 0.25$.","correct":false,"explanation":"This incorrectly uses only the decimal part as the second factor. Squaring repeats the whole base, giving $1.25 \\times 1.25$."}]},{"id":"11166b5f-53f7-408f-b8af-313789a57189","cardType":"basic","points":1,"front":"If $1.3^2 = 1.69$, what is $\\sqrt{1.69}$?","back":"1.3","mcqOptions":[{"text":"1.3","correct":true,"explanation":"The square root reverses squaring. Since $1.3^2=1.69$ and $1.3$ is positive, the principal square root is $\\sqrt{1.69}=1.3$."},{"text":"1.69","correct":false,"explanation":"This repeats the number under the square root instead of reversing the square. Since $1.3^2=1.69$, the principal square root is $1.3$."},{"text":"0.13","correct":false,"explanation":"This introduces an unnecessary place-value shift. Square rooting reverses squaring, so $1.3^2=1.69$ directly gives $\\sqrt{1.69}=1.3$."},{"text":"13","correct":false,"explanation":"This incorrectly moves the decimal point one place to the right. Because $1.3 \\times 1.3=1.69$, the square root is $1.3$."}]},{"id":"44aa42aa-80ee-4fb7-98ae-39823aacdeaf","cardType":"basic","points":1,"front":"What is $\\sqrt{2.89}$?","back":"1.7","mcqOptions":[{"text":"1.7","correct":true,"explanation":"Since $1.7 \\times 1.7=2.89$, squaring $1.7$ gives $2.89$. Therefore, the principal square root of $2.89$ is $1.7$."},{"text":"1.6","correct":false,"explanation":"This is too small because $1.6^2=2.56$, not $2.89$. As $1.7^2=2.89$, the correct square root is $1.7$."},{"text":"1.8","correct":false,"explanation":"This is too large because $1.8^2=3.24$, not $2.89$. Since $1.7^2=2.89$, the correct square root is $1.7$."},{"text":"1.445","correct":false,"explanation":"This comes from halving $2.89$, but taking a square root is not division by two. Since $1.7^2=2.89$, the answer is $1.7$."}]},{"id":"362df61b-8826-4feb-8956-250af7cb7cef","cardType":"basic","points":1,"front":"What is $1.15^2$?","back":"1.3225","mcqOptions":[{"text":"1.3225","correct":true,"explanation":"Squaring means multiplying the number by itself. Calculating $1.15 \\times 1.15$ gives $1.3225$, so $1.15^2=1.3225$."},{"text":"2.30","correct":false,"explanation":"This doubles $1.15$ instead of squaring it. Squaring requires multiplication by itself, and $1.15 \\times 1.15=1.3225$."},{"text":"1.322","correct":false,"explanation":"This drops the final digit from the exact product. Multiplying $1.15$ by itself gives $1.3225$, not the truncated value $1.322$."},{"text":"1.3025","correct":false,"explanation":"This results from an error in decimal multiplication. Correctly evaluating $1.15 \\times 1.15$ gives $1.3225$, so that is the square."}]},{"id":"f86233c9-8d70-4cb3-948a-0428d4cdb07f","cardType":"cloze","points":null,"front":"In BIDMAS, [ ] are done first; [ ] are powers.","back":"In BIDMAS, Brackets are done first; indices are powers.","mcqOptions":[{"text":"In BIDMAS, Brackets are done first; indices are powers.","correct":true,"explanation":"BIDMAS begins with brackets, followed by indices. Indices are powers such as squares, cubes and other exponents."},{"text":"In BIDMAS, Indices are done first; brackets are powers.","correct":false,"explanation":"This reverses the first two BIDMAS concepts and misdefines powers. Brackets are evaluated first, while indices are powers such as squares and cubes."},{"text":"In BIDMAS, Multiplications are done first; indices are powers.","correct":false,"explanation":"Multiplication is not completed before brackets and indices. Brackets are done first in BIDMAS, while indices correctly refers to powers."},{"text":"In BIDMAS, Brackets are done first; divisions are powers.","correct":false,"explanation":"Brackets are correctly placed first, but division is an arithmetic operation rather than a power. Indices are the powers in BIDMAS."}]},{"id":"10f1af72-b0ee-4a45-aade-45592716a3c7","cardType":"basic","points":1,"front":"In $(4.25 - 0.36)^2$, what does the power 2 apply to?","back":"The whole bracket.","mcqOptions":[{"text":"The whole bracket.","correct":true,"explanation":"The brackets make $4.25 - 0.36$ a single grouped expression, so the result of the entire subtraction is squared."},{"text":"Only $0.36$.","correct":false,"explanation":"This overlooks the grouping created by the brackets. The power 2 applies to the whole bracket, so $4.25 - 0.36$ must be evaluated before squaring."},{"text":"Only $4.25$.","correct":false,"explanation":"The exponent is written outside the closing bracket, not directly after $4.25$. It therefore applies to the whole bracket rather than only the first number."},{"text":"Only the subtraction sign.","correct":false,"explanation":"An operation sign cannot be raised to a power. The power 2 applies to the whole bracket, meaning the result of $4.25 - 0.36$ is squared."}]},{"id":"b6862310-2221-4840-87c3-d1a75fe452fa","cardType":"basic","points":1,"front":"What is $(4.25 - 0.36)^2 - 8.104$?","back":"7.0281","mcqOptions":[{"text":"7.0281","correct":true,"explanation":"Evaluate the bracket first: $4.25 - 0.36 = 3.89$. Then $3.89^2 = 15.1321$, and subtracting $8.104$ gives $7.0281$."},{"text":"-3.9836","correct":false,"explanation":"This comes from squaring only $0.36$ and calculating $4.25 - 0.36^2 - 8.104$. The brackets require the whole difference to be squared, giving $7.0281$."},{"text":"7.03","correct":false,"explanation":"This is $7.0281$ rounded to two decimal places, but no rounding accuracy was requested. The calculator value should therefore be given as $7.0281$."},{"text":"17.7578","correct":false,"explanation":"This results from subtracting $8.104$ before squaring, incorrectly changing the order of operations. Squaring $4.25 - 0.36$ first gives the correct answer $7.0281$."}]},{"id":"394b3b29-390c-458b-88c2-bd5e23e31d00","cardType":"cloze","points":null,"front":"Without brackets in $(4.25 - 0.36)^2$, the calculator may square only [ ].","back":"Without brackets in $(4.25 - 0.36)^2$, the calculator may square only 0.36.","mcqOptions":[{"text":"0.36","correct":true,"explanation":"Without brackets, the power 2 is attached directly to $0.36$, so a calculator may interpret the expression as $4.25 - 0.36^2$."},{"text":"4.25","correct":false,"explanation":"The power is positioned after $0.36$, so it would not normally attach to $4.25$. Without brackets, only $0.36$ may be squared."},{"text":"3.89","correct":false,"explanation":"This is the result of the subtraction, but a calculator needs brackets to treat that difference as the base of the power. Otherwise, it may square only $0.36$."},{"text":"8.104","correct":false,"explanation":"This number belongs to a later subtraction and is not adjacent to the power 2. Without brackets, the calculator may square only $0.36$."}]},{"id":"2af3483d-1360-4742-a44f-6bb8eb684b8a","cardType":"cloze","points":null,"front":"In a fraction, the top part is the [ ]; the bottom part is the [ ].","back":"In a fraction, the top part is the numerator; the bottom part is the denominator.","mcqOptions":[{"text":"In a fraction, the top part is the numerator; the bottom part is the denominator.","correct":true,"explanation":"The numerator appears above the fraction line and is divided by the denominator, which appears below the fraction line."},{"text":"In a fraction, the top part is the denominator; the bottom part is the numerator.","correct":false,"explanation":"This reverses the two standard terms. The numerator is the top part of a fraction, while the denominator is the bottom part."},{"text":"In a fraction, the top part is the dividend; the bottom part is the divisor.","correct":false,"explanation":"Dividend and divisor describe roles in a division calculation, not the named parts of a written fraction. Those parts are the numerator and denominator respectively."},{"text":"In a fraction, the top part is the numerator; the bottom part is the multiplier.","correct":false,"explanation":"The top term is correctly identified, but multiplier is not the name of the bottom part. The bottom part of a fraction is the denominator."}]},{"id":"f16c6a5b-3d1a-4861-a0e3-cd07a8f9d77f","cardType":"basic","points":1,"front":"In $\\frac{2.75 + 1.6^2}{1.24}$, what calculation goes in the numerator?","back":"$2.75 + 1.6^2$","mcqOptions":[{"text":"$2.75 + 1.6^2$","correct":true,"explanation":"The numerator is everything above the fraction line. Here, both $2.75$ and $1.6^2$, joined by addition, are above that line."},{"text":"$2.75 + 1.6$","correct":false,"explanation":"This omits the power 2 from the numerator. The complete calculation above the fraction line is $2.75 + 1.6^2$."},{"text":"$1.6^2 + 1.24$","correct":false,"explanation":"This incorrectly includes the denominator $1.24$ in the top calculation and omits $2.75$. The numerator is $2.75 + 1.6^2$."},{"text":"$2.75 + 1.6^2 + 1.24$","correct":false,"explanation":"This treats the denominator as another term in the numerator. Only $2.75 + 1.6^2$ lies above the fraction line; $1.24$ is below it."}]},{"id":"b870ac23-c685-4451-8bf3-178ca33d68b1","cardType":"basic","points":1,"front":"What is the typical display for $\\frac{2.75 + 1.6^2}{1.24}$?","back":"4.282258065","mcqOptions":[{"text":"4.282258065","correct":true,"explanation":"Calculate the power first: $1.6^2 = 2.56$. The numerator is then $5.31$, and $5.31 \\div 1.24$ displays as $4.282258065$."},{"text":"4.814516129","correct":false,"explanation":"This comes from dividing only $1.6^2$ by $1.24$ and then adding $2.75$. The fraction line places the entire numerator over $1.24$, giving $4.282258065$."},{"text":"15.26209677","correct":false,"explanation":"This comes from squaring $2.75 + 1.6$ instead of squaring only $1.6$. Following the written power and then dividing gives $4.282258065$."},{"text":"4.280000000","correct":false,"explanation":"This replaces the calculator display with a prematurely rounded value padded by zeros. The unrounded typical display is $4.282258065$."}]},{"id":"5737dbb1-ecc8-441e-8964-f95009618df8","cardType":"basic","points":1,"front":"For $\\sqrt{\\frac{21.8 - 4.28}{6.10 + 1.20}}$, what goes inside the square root?","back":"The whole fraction.","mcqOptions":[{"text":"The whole fraction.","correct":true,"explanation":"The square-root symbol extends over the complete fraction, so the numerator and denominator are evaluated, divided, and then the resulting quotient is square-rooted."},{"text":"Only the numerator.","correct":false,"explanation":"The square-root bar covers more than the expression above the fraction line. It covers the whole fraction, so the quotient must be found before taking the square root."},{"text":"Only the denominator.","correct":false,"explanation":"The denominator lies within the fraction covered by the square-root bar, but it is not the only part included. The whole fraction is inside the square root."},{"text":"Only $21.8$.","correct":false,"explanation":"The square-root bar extends across the full fraction rather than ending after the first number. Therefore, the entire fraction is inside the square root."}]},{"id":"babc9055-ef02-4e6b-a58e-0fb11fa3cc17","cardType":"basic","points":1,"front":"What is the value of $\\frac{21.8 - 4.28}{6.10 + 1.20}$ inside the square root?","back":"2.4","mcqOptions":[{"text":"2.4","correct":true,"explanation":"The numerator is $21.8 - 4.28 = 17.52$ and the denominator is $6.10 + 1.20 = 7.30$. Dividing gives $17.52 \\div 7.30 = 2.4$."},{"text":"17.52","correct":false,"explanation":"This is only the value of the numerator, so the final division has been omitted. Dividing $17.52$ by the denominator $7.30$ gives $2.4$."},{"text":"7.3","correct":false,"explanation":"This is only the value of the denominator, found from $6.10 + 1.20$. The whole fraction is $17.52 \\div 7.30$, which equals $2.4$."},{"text":"0.4167","correct":false,"explanation":"This approximately results from reversing the fraction and calculating $7.30 \\div 17.52$. The written fraction requires $17.52 \\div 7.30$, giving $2.4$."}]},{"id":"f491ec3c-78dd-43b9-92d6-1d791a1632fc","cardType":"cloze","points":null,"front":"When typing a denominator using ÷, put brackets around the [ ].","back":"When typing a denominator using ÷, put brackets around the whole denominator.","mcqOptions":[{"text":"whole denominator","correct":true,"explanation":"Brackets ensure the calculator divides by the entire denominator, preserving the fraction’s intended order of operations rather than dividing by only its first term."},{"text":"whole numerator","correct":false,"explanation":"Bracketing only the numerator does not group all the terms being divided by. The whole denominator must be bracketed so it is evaluated before the division."},{"text":"first denominator term","correct":false,"explanation":"Bracketing only the first denominator term leaves later terms outside the division, changing the expression. Brackets must enclose the whole denominator."},{"text":"whole calculation","correct":false,"explanation":"The division symbol already separates the numerator from the denominator. It is the whole denominator, not the whole calculation, that needs brackets."}]},{"id":"7228bc2c-1696-42d2-a907-7e435105cd4f","cardType":"cloze","points":null,"front":"Decimal places count digits [ ]; significant figures start at the first [ ].","back":"Decimal places count digits after the decimal point; significant figures start at the first non-zero digit.","mcqOptions":[{"text":"Decimal places count digits after the decimal point; significant figures start at the first non-zero digit.","correct":true,"explanation":"Decimal places are counted to the right of the decimal point. Significant figures ignore leading zeros and begin with the first digit that is not zero."},{"text":"Decimal places count digits before the decimal point; significant figures start at the first non-zero digit.","correct":false,"explanation":"Digits before the decimal point are not what decimal places count. Decimal places are counted after the decimal point, while significant figures begin at the first non-zero digit."},{"text":"Decimal places count digits after the decimal point; significant figures start at the first digit after the decimal point.","correct":false,"explanation":"Significant figures do not necessarily begin immediately after the decimal point because leading zeros are ignored. They begin at the first non-zero digit."},{"text":"Decimal places count digits before the decimal point; significant figures start at the first zero digit.","correct":false,"explanation":"This reverses both rules: decimal places are counted after the decimal point, and leading zeros do not start the significant-figure count."}]},{"id":"134478ca-a59f-4126-a272-de7ac900451f","cardType":"basic","points":1,"front":"Round $0.3698224852$ to 2 decimal places.","back":"0.37","mcqOptions":[{"text":"0.37","correct":true,"explanation":"The hundredths digit is 6 and the next digit is 9, so the hundredths round up from 6 to 7, giving 0.37."},{"text":"0.36","correct":false,"explanation":"This truncates the number after two decimal places. Since the third decimal digit is 9, the hundredths digit must round up, giving 0.37."},{"text":"0.38","correct":false,"explanation":"The third decimal digit increases the hundredths digit by one, not by two. Rounding 0.3698224852 to two decimal places gives 0.37."},{"text":"0.39","correct":false,"explanation":"Later digits do not each increase the retained digit separately. Only the first discarded digit determines rounding, so the correct result is 0.37."}]},{"id":"be44042c-dac8-4bab-b0e3-3fe4e821821c","cardType":"basic","points":1,"front":"Round $0.7920997921$ to 2 significant figures.","back":"0.79","mcqOptions":[{"text":"0.79","correct":true,"explanation":"Leading zeros are not significant, so the first two significant digits are 7 and 9. The following digit is 2, so 0.79 remains unchanged."},{"text":"0.80","correct":false,"explanation":"The second significant digit should not round up because the next digit is 2. Later digits are not considered once that digit is below 5, so the answer is 0.79."},{"text":"0.78","correct":false,"explanation":"Rounding cannot reduce the second significant digit from 9 to 8. The following digit is 2, so the first two significant digits remain 79."},{"text":"0.792","correct":false,"explanation":"This retains three significant figures rather than two. Keeping only the first two significant digits and checking the third gives 0.79."}]},{"id":"2a7291d6-5823-45ba-9fb2-b854ecfa64d0","cardType":"basic","points":2,"front":"Why should you not round partway through a calculator calculation?","back":"Early rounding can change the final answer.","mcqOptions":[{"text":"Early rounding can change the final answer.","correct":true,"explanation":"Rounding an intermediate value introduces an error that can be magnified by later operations. Keeping full calculator precision until the end produces the most accurate final answer."},{"text":"Early rounding always improves the final answer.","correct":false,"explanation":"Rounding does not automatically improve accuracy; it discards information and introduces error. Intermediate values should remain unrounded because early rounding can change the final answer."},{"text":"Calculators cannot store precise intermediate values.","correct":false,"explanation":"Calculators normally retain more digits internally than they display, so they can store precise intermediate results. Early rounding is avoided because it can alter the final answer."},{"text":"Only the final operation affects the answer.","correct":false,"explanation":"Every operation can affect accuracy, particularly if rounded intermediate values are reused. Early rounding may accumulate or magnify errors and therefore change the final answer."}]},{"id":"aa65c15d-843c-46a9-9c63-8bc8157dd0a9","cardType":"cloze","points":null,"front":"For IGCSE trigonometry, the calculator should usually show [ ]; radians give [ ].","back":"For IGCSE trigonometry, the calculator should usually show DEG; radians give wrong trigonometry answers.","mcqOptions":[{"text":"For IGCSE trigonometry, the calculator should usually show DEG; radians give wrong trigonometry answers.","correct":true,"explanation":"IGCSE trigonometry questions normally express angles in degrees, so DEG mode is required. Using radians interprets the same numbers as different angles and produces wrong answers."},{"text":"For IGCSE trigonometry, the calculator should usually show RAD; radians give wrong trigonometry answers.","correct":false,"explanation":"RAD mode interprets angle inputs as radians, but IGCSE questions usually give angles in degrees. The calculator should show DEG to avoid wrong trigonometry answers."},{"text":"For IGCSE trigonometry, the calculator should usually show DEG; radians give correct trigonometry answers.","correct":false,"explanation":"Although DEG is the usual mode for IGCSE questions, radians do not give correct answers to degree-based inputs. They interpret the angle using a different unit."},{"text":"For IGCSE trigonometry, the calculator should usually show RAD; radians give correct trigonometry answers.","correct":false,"explanation":"This wrongly selects RAD mode and claims its outputs suit degree-based questions. IGCSE trigonometry usually requires DEG; radians then give wrong answers."}]},{"id":"be8693f9-594b-47f1-8d6a-cbcfff0806e4","cardType":"basic","points":1,"front":"Round $\\frac{\\sin 30^\\circ + \\cos 60^\\circ}{\\cos 45^\\circ - \\sin 30^\\circ}$ to 2 decimal places.","back":"4.83","mcqOptions":[{"text":"4.83","correct":true,"explanation":"The numerator is $0.5+0.5=1$, while the denominator is approximately $0.7071-0.5=0.2071$. Their quotient is about $4.8284$, which rounds to 4.83."},{"text":"4.82","correct":false,"explanation":"This truncates $4.8284\\ldots$ instead of rounding it. The third decimal digit is 8, so the hundredths digit increases and the answer is 4.83."},{"text":"2.41","correct":false,"explanation":"This results from omitting the $\\cos 60^\\circ$ term, leaving a numerator of only $0.5$. The complete numerator equals 1, producing 4.83."},{"text":"0.71","correct":false,"explanation":"This can result from failing to bracket the numerator and denominator, so the calculator follows its normal operation order. Evaluating the complete fraction gives 4.83."}]},{"id":"d1479166-1b31-475d-8025-127357b73902","cardType":"basic","points":1,"front":"Round $\\sqrt{\\frac{\\tan 60^\\circ + 1}{\\tan 60^\\circ - 1}}$ to 3 significant figures.","back":"1.93","mcqOptions":[{"text":"1.93","correct":true,"explanation":"Using $\\tan 60^\\circ=\\sqrt{3}$ makes the fraction approximately $3.732$. Its square root is $1.9318\\ldots$, which rounds to three significant figures as 1.93."},{"text":"3.73","correct":false,"explanation":"This is approximately the value inside the square root, so the final square-root operation has been omitted. Applying it gives $1.9318\\ldots$, which rounds to 1.93."},{"text":"1.96","correct":false,"explanation":"This comes from replacing $\\tan 60^\\circ$ prematurely by 1.7, creating substantial intermediate rounding error. Keeping full calculator precision gives 1.93."},{"text":"0.518","correct":false,"explanation":"This is approximately the reciprocal of the required square root, caused by reversing the numerator and denominator. Using the fraction in the stated order gives 1.93."}]}]}],"examCountdown":null,"heading":"Using a Calculator","title":"Using a Calculator Flashcards","topbar":{"backHref":"/igcse/maths/cie/flashcards"},"topicSidebar":"$L38"}]}],"topicId":"2b972b56-5b53-421b-a771-e9ad3f18f36c","walled":"$L39"}],"$L3a","$L3b"]