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It is in the hundreds place, so its value is 500."},{"text":"5","correct":false,"explanation":"This gives the digit itself rather than its place value. The 5 occupies the hundreds place, making its value 500."},{"text":"5000","correct":false,"explanation":"This incorrectly places the 5 in the thousands column. It is actually in the hundreds column, so its value is 500."}]},{"id":"baff03da-e5a2-4eb4-bbd2-a7142c866501","cardType":"basic","points":1,"front":"In 583, what is the value of the 8?","back":"80","mcqOptions":[{"text":"80","correct":true,"explanation":"The 8 is in the tens place, so it represents 8 tens. Therefore, its value is 80."},{"text":"800","correct":false,"explanation":"This treats the 8 as a hundreds digit. It is in the tens place, so it represents 8 tens and has a value of 80."},{"text":"8","correct":false,"explanation":"This ignores the position of the digit and gives only the digit itself. Since 8 is in the tens place, its value is 80."},{"text":"8000","correct":false,"explanation":"This incorrectly assigns the thousands place to the 8. The digit is in the tens place, so the correct value is 80."}]},{"id":"ebd90e6a-86fe-490a-bdf3-d8e2d2ad1804","cardType":"basic","points":1,"front":"In 4,638, what is the value of the 4?","back":"4000","mcqOptions":[{"text":"4000","correct":true,"explanation":"The 4 is in the thousands place, so it represents 4 thousands. Its value is therefore 4000."},{"text":"400","correct":false,"explanation":"This places the 4 one column too far right, in the hundreds place. It is in the thousands place, so its value is 4000."},{"text":"40","correct":false,"explanation":"This mistakes the 4 for a tens digit. It is the thousands digit in 4,638, so the correct value is 4000."},{"text":"40000","correct":false,"explanation":"This places the 4 one column too far left, in the ten-thousands place. It is in the thousands place, so its value is 4000."}]},{"id":"5e259118-c264-4827-81be-d2ee4aeea922","cardType":"basic","points":1,"front":"In 2,794, what is the value of the 7?","back":"700","mcqOptions":[{"text":"700","correct":true,"explanation":"The 7 is in the hundreds place, so it represents 7 hundreds. Its value is therefore 700."},{"text":"70","correct":false,"explanation":"This treats the 7 as a tens digit. In 2,794, the 7 is in the hundreds place, so its value is 700."},{"text":"7000","correct":false,"explanation":"This confuses the 7 with the thousands digit, which is 2. The 7 is in the hundreds place, giving it a value of 700."},{"text":"7","correct":false,"explanation":"This gives the digit without accounting for its position. The 7 is in the hundreds place, so its place value is 700."}]},{"id":"548f86d2-1928-43ae-8a4c-d15648178bb6","cardType":"cloze","points":null,"front":"A digit's place value depends on its [ ] in a number.","back":"A digit's place value depends on its position in a number.","mcqOptions":[{"text":"position","correct":true,"explanation":"A digit’s position determines which column it occupies, such as units, tens or hundreds, and therefore determines its place value."},{"text":"size","correct":false,"explanation":"The size of a written digit does not affect its value. The correct term is position, because the column occupied by the digit determines its place value."},{"text":"shape","correct":false,"explanation":"A digit’s shape identifies which digit it is, but not its place value. Its position in the number determines whether it represents units, tens, hundreds or more."},{"text":"colour","correct":false,"explanation":"Colour has no mathematical effect on a digit’s value. The correct term is position, because moving a digit between columns changes its place value."}]},{"id":"1fb26475-d5c4-4de6-be37-f9c25bb900b5","cardType":"basic","points":1,"front":"In 8,041, what is the value of the 4?","back":"40","mcqOptions":[{"text":"40","correct":true,"explanation":"The 4 is in the tens place because one digit, the 1, is to its right. Therefore, the value of the 4 is 40."},{"text":"400","correct":false,"explanation":"This overlooks the 0 occupying the hundreds place and treats 4 as the hundreds digit. The 4 is in the tens place, so its value is 40."},{"text":"4","correct":false,"explanation":"This treats the 4 as if it were in the units place. The 1 occupies the units place, while the 4 is worth 40."},{"text":"4000","correct":false,"explanation":"This confuses the 4 with the thousands digit, which is 8. The 4 is in the tens place, so its correct value is 40."}]},{"id":"b2fccf0a-22d8-46f3-ac41-e210a116e7db","cardType":"basic","points":2,"front":"In 8,041, why is the 4 not worth 400?","back":"The 0 holds the hundreds place, so 4 is in tens.","mcqOptions":[{"text":"The 0 holds the hundreds place, so 4 is in tens.","correct":true,"explanation":"The zero is a placeholder in the hundreds column, keeping the 4 in the tens column. Therefore, the 4 represents 40 rather than 400."},{"text":"The 0 has no place value, so 4 is in hundreds.","correct":false,"explanation":"This incorrectly ignores zero as a placeholder. The 0 occupies the hundreds place, so the 4 remains in the tens place and is worth 40."},{"text":"The 8 holds the hundreds place, so 4 is in tens.","correct":false,"explanation":"The 8 occupies the thousands place, not the hundreds place. The 0 holds the hundreds place, which puts the 4 in tens and makes it worth 40."},{"text":"The 1 holds the hundreds place, so 4 is in tens.","correct":false,"explanation":"The 1 is in the units place, not the hundreds place. The 0 occupies the hundreds column, leaving the 4 in the tens column."}]},{"id":"4fe53566-4aec-44ed-866a-fb37bf90c9b7","cardType":"cloze","points":null,"front":"The further [ ] a digit is, the larger its place value.","back":"The further left a digit is, the larger its place value.","mcqOptions":[{"text":"left","correct":true,"explanation":"Moving a digit one place to the left multiplies its place value by 10, so digits further left generally have larger place values."},{"text":"right","correct":false,"explanation":"Moving a digit to the right divides its place value by 10 rather than increasing it. The correct direction is left, where place values become larger."},{"text":"up","correct":false,"explanation":"Place-value columns run horizontally, so moving up does not describe a change in place value. Moving further left gives a digit a larger place value."},{"text":"down","correct":false,"explanation":"Moving down is not a place-value direction within a written number. Place values increase from right to left, so the correct term is left."}]},{"id":"a49494dd-f5ac-44c9-8bab-089bbfb50864","cardType":"basic","points":1,"front":"In 36.482, what is the value of the 4?","back":"0.4","mcqOptions":[{"text":"0.4","correct":true,"explanation":"The 4 is in the tenths column, so its value is four tenths, written as 0.4."},{"text":"4","correct":false,"explanation":"This treats the 4 as a ones digit, but it is one place to the right of the decimal point. Its correct value is 0.4 because it represents four tenths."},{"text":"0.04","correct":false,"explanation":"This places the 4 in the hundredths column instead of the tenths column. In 36.482, the 4 represents four tenths, so the correct value is 0.4."},{"text":"40","correct":false,"explanation":"This incorrectly gives the 4 a tens-place value, as though it were left of the decimal point. It is in the tenths column, so its correct value is 0.4."}]},{"id":"cf30828a-760c-4efb-ab3a-56fa7b539928","cardType":"basic","points":1,"front":"In 36.482, what is the value of the 8?","back":"0.08","mcqOptions":[{"text":"0.08","correct":true,"explanation":"The 8 is the second digit after the decimal point, so it is in the hundredths column. Its value is eight hundredths, written as 0.08."},{"text":"0.8","correct":false,"explanation":"This places the 8 in the tenths column, confusing the first and second decimal places. The 8 is in the hundredths column, so its correct value is 0.08."},{"text":"8","correct":false,"explanation":"This ignores the decimal-place value and treats the 8 as a ones digit. Because it is in the hundredths column, its correct value is 0.08."},{"text":"0.008","correct":false,"explanation":"This places the 8 in the thousandths column, one place too far right. It is in the hundredths column, so the correct value is 0.08."}]},{"id":"c3409d79-745b-4dd0-914a-eba3287c7c31","cardType":"basic","points":1,"front":"In 36.482, what is the value of the 2?","back":"0.002","mcqOptions":[{"text":"0.002","correct":true,"explanation":"The 2 is the third digit after the decimal point, so it is in the thousandths column. Its value is two thousandths, written as 0.002."},{"text":"0.02","correct":false,"explanation":"This places the 2 in the hundredths column, one decimal place too far left. In 36.482, the 2 is in the thousandths column, so its correct value is 0.002."},{"text":"0.2","correct":false,"explanation":"This treats the 2 as a tenths digit, skipping two of its place-value positions. The 2 is three places after the decimal point, so its correct value is 0.002."},{"text":"2","correct":false,"explanation":"This treats the 2 as a ones digit and ignores its position after the decimal point. It is in the thousandths column, so its correct value is 0.002."}]},{"id":"f3a37dcc-f6eb-48fc-87a7-f7e8f647315c","cardType":"cloze","points":null,"front":"After the decimal point, the first column is [ ] and the second is [ ].","back":"After the decimal point, the first column is tenths and the second is hundredths.","mcqOptions":[{"text":"After the decimal point, the first column is tenths and the second is hundredths.","correct":true,"explanation":"Decimal place values move by factors of ten from right to left: the first place is tenths and the second place is hundredths."},{"text":"After the decimal point, the first column is hundredths and the second is tenths.","correct":false,"explanation":"The decimal places have been reversed. The first digit after the decimal point represents tenths, while the second represents hundredths."},{"text":"After the decimal point, the first column is ones and the second is tenths.","correct":false,"explanation":"The ones column is immediately to the left of the decimal point, not after it. After the point, the first two columns are tenths and hundredths."},{"text":"After the decimal point, the first column is thousandths and the second is hundredths.","correct":false,"explanation":"Thousandths is the third column after the decimal point, not the first. The first two columns are tenths followed by hundredths."}]},{"id":"fd48fb11-0b9c-4c53-bb1f-4085f2ad29d1","cardType":"basic","points":1,"front":"In 125.9, what is the value of the 9?","back":"0.9","mcqOptions":[{"text":"0.9","correct":true,"explanation":"The 9 is the first digit after the decimal point, so it is in the tenths column. Its value is nine tenths, written as 0.9."},{"text":"9","correct":false,"explanation":"This treats the 9 as a ones digit, ignoring its position after the decimal point. It is in the tenths column, so its correct value is 0.9."},{"text":"0.09","correct":false,"explanation":"This places the 9 in the hundredths column instead of the tenths column. As the first digit after the decimal point, its correct value is 0.9."},{"text":"90","correct":false,"explanation":"This gives the 9 a tens-place value, even though it is to the right of the decimal point. Its tenths-place value is 0.9."}]},{"id":"efd3407f-b5f7-44e4-95d1-64a4bcca6d30","cardType":"basic","points":1,"front":"In 48.263, what is the value of the 6?","back":"0.06","mcqOptions":[{"text":"0.06","correct":true,"explanation":"The 6 is the second digit after the decimal point, so it is in the hundredths column. Its value is six hundredths, written as 0.06."},{"text":"0.6","correct":false,"explanation":"This places the 6 in the tenths column, but it is the second digit after the decimal point. Therefore, it represents six hundredths, or 0.06."},{"text":"6","correct":false,"explanation":"This treats the 6 as a ones digit and ignores its decimal position. It is in the hundredths column, so its correct value is 0.06."},{"text":"0.006","correct":false,"explanation":"This places the 6 in the thousandths column, one place too far right. In 48.263, the 6 is in the hundredths column, so its value is 0.06."}]},{"id":"6b61745c-7925-44f9-b5e3-57021db198e1","cardType":"basic","points":2,"front":"In a 5 digit number, why can the first digit not be 0?","back":"Then it would not be a 5 digit number.","mcqOptions":[{"text":"Then it would not be a 5 digit number.","correct":true,"explanation":"A five-digit number must have a non-zero digit in the ten-thousands place. If the first digit were 0, that zero would not count as a place, leaving only four digits."},{"text":"Then it would be an even number.","correct":false,"explanation":"The first digit does not determine whether a number is even; the last digit does. A leading zero would instead mean the number is not a five-digit number."},{"text":"Then it would have a decimal point.","correct":false,"explanation":"A leading zero does not create a decimal point. It simply does not count as a significant place, so the number would have fewer than five digits."},{"text":"Then it would be larger than 99,999.","correct":false,"explanation":"A leading zero makes the written number smaller in place-value terms, not larger. It would mean the number is not a five-digit number."}]},{"id":"81d621a1-a8f0-416f-b713-057175277fe8","cardType":"cloze","points":null,"front":"1 million is [ ].","back":"1 million is 1,000,000.","mcqOptions":[{"text":"1,000,000","correct":true,"explanation":"One million is written as 1 followed by six zeros, giving 1,000,000. The commas separate the thousands, millions, and other groups of three digits."},{"text":"100,000","correct":false,"explanation":"This has only five zeros, so it represents one hundred thousand. One million is ten times larger and is written as 1,000,000 with six zeros."},{"text":"10,000,000","correct":false,"explanation":"This has seven zeros, making it ten million rather than one million. One million contains six zeros and is written as 1,000,000."},{"text":"1,000","correct":false,"explanation":"This has three zeros and represents one thousand. One million is a larger place-value unit, written as 1,000,000 with six zeros."}]},{"id":"cf3b4437-5bab-4ce2-95ad-ba31eeb5d742","cardType":"basic","points":1,"front":"Write 7 million in figures.","back":"7,000,000","mcqOptions":[{"text":"7,000,000","correct":true,"explanation":"One million is 1,000,000, so seven million is seven groups of one million, written as 7,000,000."},{"text":"700,000","correct":false,"explanation":"This is seven hundred thousand, caused by using one too few zeros. Seven million is written as 7,000,000."},{"text":"70,000,000","correct":false,"explanation":"This is seventy million, caused by using one too many zeros. Seven million is written as 7,000,000."},{"text":"7,000","correct":false,"explanation":"This is seven thousand, not seven million. A million has six zeros, so seven million is written as 7,000,000."}]},{"id":"cb1f2e9c-0fb6-44b2-987a-63a2daa546fd","cardType":"basic","points":1,"front":"Write 4.6 million in figures.","back":"4,600,000","mcqOptions":[{"text":"4,600,000","correct":true,"explanation":"The 4 represents four million and the 6 represents six hundred thousand, so 4.6 million is written as 4,600,000."},{"text":"460,000","correct":false,"explanation":"This is four hundred and sixty thousand, resulting from making the number ten times too small. The correct figure is 4,600,000."},{"text":"46,000,000","correct":false,"explanation":"This is forty-six million, resulting from making the number ten times too large. The correct figure for 4.6 million is 4,600,000."},{"text":"4,060,000","correct":false,"explanation":"This treats the 6 as sixty thousand rather than six hundred thousand. In 4.6 million, the 6 occupies the hundred-thousands column, giving 4,600,000."}]},{"id":"44b8c614-1f91-460f-a154-bdd40d24ec93","cardType":"cloze","points":null,"front":"To make the largest number from digit cards, put the biggest digits in the [ ].","back":"To make the largest number from digit cards, put the biggest digits in the biggest place value columns.","mcqOptions":[{"text":"biggest place value columns","correct":true,"explanation":"Digits in larger place value columns contribute more to the number, so placing the biggest digits there produces the largest possible number."},{"text":"smallest place value columns","correct":false,"explanation":"Putting the biggest digits in the smallest columns reduces their contribution. To maximise the number, they must go in the biggest place value columns."},{"text":"middle place value columns","correct":false,"explanation":"Using the middle columns fails to maximise the contribution of the biggest digits. They should be placed in the biggest place value columns."},{"text":"rightmost place value columns","correct":false,"explanation":"In a whole number, the columns decrease in value towards the right. The biggest digits belong in the biggest place value columns on the left."}]},{"id":"1d2b0a83-d6a5-4a7a-a8bf-7bef4e82465d","cardType":"basic","points":1,"front":"Using digit cards 6, 1, 8 and 4, what is the largest 3 digit number possible?","back":"864","mcqOptions":[{"text":"864","correct":true,"explanation":"Use the three largest digits, 8, 6 and 4, and arrange them in descending order. This gives the largest possible number, 864."},{"text":"861","correct":false,"explanation":"This incorrectly uses 1 instead of the larger available digit 4. Selecting 8, 6 and 4 and arranging them in descending order gives 864."},{"text":"846","correct":false,"explanation":"The tens and units digits have been reversed. Putting 6 in the higher-value tens column and 4 in the units column gives 864."},{"text":"684","correct":false,"explanation":"This places 6 rather than 8 in the hundreds column. The largest digit must occupy the greatest place value, giving 864."}]},{"id":"f77f25f0-e248-4cb8-b0d5-1b2dc702618a","cardType":"cloze","points":null,"front":"A whole number cannot start with [ ].","back":"A whole number cannot start with 0.","mcqOptions":[{"text":"0","correct":true,"explanation":"A zero at the beginning has no place value and is not written as part of a whole number’s standard representation."},{"text":"1","correct":false,"explanation":"Whole numbers can begin with 1, as in 125. It is 0 that cannot begin a whole number’s standard written form."},{"text":"5","correct":false,"explanation":"Whole numbers can begin with 5, as in 507. A leading 0 is omitted because it does not change the number’s value."},{"text":"9","correct":false,"explanation":"Whole numbers can begin with 9, as in 912. It is 0 that cannot appear as the first digit in standard form."}]},{"id":"910118cf-4369-4e50-800d-80da74986d5a","cardType":"basic","points":2,"front":"Using 1, 5, 7 and 3 to make two 2 digit numbers, what is the smallest possible sum?","back":"52","mcqOptions":[{"text":"52","correct":true,"explanation":"Place the two smallest digits, 1 and 3, in the tens columns. The remaining units contribute 12, so the minimum sum is 10 + 30 + 12 = 52."},{"text":"46","correct":false,"explanation":"This total cannot be made while using each digit exactly once. The minimum comes from placing 1 and 3 in the tens columns, giving 52."},{"text":"70","correct":false,"explanation":"This can result from numbers such as 13 and 57, but placing 5 in a tens column makes the sum larger. Using 1 and 3 as tens gives 52."},{"text":"88","correct":false,"explanation":"This can result from 15 + 73, but using 7 in a tens column produces a large total. The smallest possible sum is 52."}]},{"id":"d433acec-b785-4f8f-b4f4-97a190de1e26","cardType":"basic","points":2,"front":"Using 2, 9, 4 and 6 to make two 2 digit numbers, what is the largest possible sum?","back":"156","mcqOptions":[{"text":"156","correct":true,"explanation":"Place the two largest digits, 9 and 6, in the tens columns. The tens contribute 150 and the units contribute 6, giving 156."},{"text":"138","correct":false,"explanation":"This uses 4 rather than 6 in one tens column, reducing the total. The two largest digits belong in the tens columns, giving 156."},{"text":"120","correct":false,"explanation":"This can result from 96 + 24, but placing 2 in a tens column wastes the larger digit 6. The maximum sum is 156."},{"text":"146","correct":false,"explanation":"This is an addition slip when combining numbers such as 94 and 62. Their tens total 150 and their units total 6, so the answer is 156."}]},{"id":"602ba6b7-eadd-460f-b328-307549b734b8","cardType":"basic","points":2,"front":"Order from smallest to largest: 172, 109, 145, 190, 137.","back":"109, 137, 145, 172, 190","mcqOptions":[{"text":"109, 137, 145, 172, 190","correct":true,"explanation":"All numbers have one hundred, so compare their tens digits, then their units digits where necessary. This gives 109, 137, 145, 172, 190."},{"text":"109, 145, 137, 172, 190","correct":false,"explanation":"The numbers 145 and 137 are reversed. Since 3 tens is less than 4 tens, 137 must come before 145 in ascending order."},{"text":"109, 137, 172, 145, 190","correct":false,"explanation":"The numbers 172 and 145 are reversed. Since 4 tens is less than 7 tens, 145 must come before 172."},{"text":"109, 137, 145, 190, 172","correct":false,"explanation":"The final two numbers are reversed. Since 7 tens is less than 9 tens, 172 must come before 190."}]},{"id":"f378303b-1f81-4253-971f-770222526c27","cardType":"cloze","points":null,"front":"Adding zeros at the [ ] of a decimal does [ ].","back":"Adding zeros at the end of a decimal does not change its value.","mcqOptions":[{"text":"Adding zeros at the end of a decimal does not change its value.","correct":true,"explanation":"Zeros placed after the final decimal digit are placeholders. For example, $0.5$, $0.50$, and $0.500$ all represent the same value."},{"text":"Adding zeros at the end of a decimal does multiply its value by 10.","correct":false,"explanation":"Multiplying by $10$ moves every digit one place to the left; merely adding trailing zeros does not. Zeros at the end of a decimal do not change its value."},{"text":"Adding zeros at the middle of a decimal does not change its value.","correct":false,"explanation":"A zero inserted between decimal digits changes their place values, as $0.25$ and $0.205$ show. Only zeros added at the end leave the value unchanged."},{"text":"Adding zeros at the beginning of a decimal does divide its value by 10.","correct":false,"explanation":"Division by $10$ requires moving every digit one place to the right. The rule is that adding zeros at the end of a decimal does not change its value."}]},{"id":"22859e2e-9896-42f9-858a-44b7d81a34b3","cardType":"basic","points":1,"front":"Which is smaller: 0.305 or 0.35?","back":"0.305","mcqOptions":[{"text":"0.305","correct":true,"explanation":"Writing $0.35$ as $0.350$ allows a direct comparison. Both have three tenths, but $0.305$ has zero hundredths compared with five hundredths in $0.350$."},{"text":"0.35","correct":false,"explanation":"Fewer written decimal digits do not necessarily mean a smaller number. Since $0.35=0.350$, it is greater than $0.305$, so $0.305$ is smaller."},{"text":"0.503","correct":false,"explanation":"This reverses the decimal digits and produces a number greater than both given numbers. Comparing $0.305$ with $0.350$ shows that $0.305$ is the smaller number."},{"text":"0.53","correct":false,"explanation":"This reverses the digits of $0.35$ and is not one of the two numbers being compared. Writing $0.35$ as $0.350$ shows that $0.305$ is smaller."}]},{"id":"ab6d6c70-2d8b-4d05-a1c9-5d3b1babe904","cardType":"basic","points":2,"front":"Why is 1.06 smaller than 1.6?","back":"1.06 = 1.060, while 1.6 = 1.600.","mcqOptions":[{"text":"1.06 = 1.060, while 1.6 = 1.600.","correct":true,"explanation":"Adding trailing zeros makes the place values easier to compare without changing either number. At the tenths place, $1.060$ has $0$ while $1.600$ has $6$."},{"text":"1.06 = 1.600, while 1.6 = 1.060.","correct":false,"explanation":"This swaps the values: trailing zeros cannot turn $1.06$ into $1.6$. The correct comparison is $1.06=1.060$ and $1.6=1.600$, making $1.06$ smaller."},{"text":"1.06 = 1.006, while 1.6 = 1.060.","correct":false,"explanation":"Inserting zeros between digits changes their place values, so these equalities are false. Add zeros only at the end: $1.06=1.060$ and $1.6=1.600$."},{"text":"1.06 = 1.600, while 1.6 = 1.600.","correct":false,"explanation":"Although $1.6=1.600$, the first equality confuses hundredths with tenths. In fact, $1.06=1.060$, whose tenths digit is smaller than that of $1.600$."}]},{"id":"c09347ab-0358-4417-811a-d24a273700e1","cardType":"basic","points":3,"front":"Order from smallest to largest: 0.42, 0.402, 0.24, 0.024, 0.204.","back":"0.024, 0.204, 0.24, 0.402, 0.42","mcqOptions":[{"text":"0.024, 0.204, 0.24, 0.402, 0.42","correct":true,"explanation":"Writing the numbers as $0.024$, $0.204$, $0.240$, $0.402$, and $0.420$ makes each place-value comparison clear and gives the correct ascending order."},{"text":"0.024, 0.204, 0.24, 0.42, 0.402","correct":false,"explanation":"The final two numbers are reversed. Writing $0.42$ as $0.420$ shows that $0.402$ is smaller, so it must appear before $0.42$."},{"text":"0.024, 0.24, 0.204, 0.402, 0.42","correct":false,"explanation":"This compares the number of written digits rather than their place values. Since $0.24=0.240$, $0.204$ is smaller and must come before $0.24$."},{"text":"0.024, 0.204, 0.402, 0.24, 0.42","correct":false,"explanation":"The middle pair is misplaced because $0.24=0.240$, which is less than $0.402$. Therefore, $0.24$ must come before $0.402$ in ascending order."}]}]}],"examCountdown":null,"heading":"Place Value","title":"Place Value Flashcards","topbar":{"backHref":"/igcse/maths/cie/flashcards"},"topicSidebar":"$L38"}]}],"topicId":"e7c299d6-5d01-4464-8090-6f8e6f518c5f","walled":"$L39"}],"$L3a","$L3b"]