Multiply by Multiples of 10

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3rd Grade Math › Multiply by Multiples of 10

Questions 1 - 10
1

Noah runs 3 days, 60 minutes each day. How many minutes total?

360 minutes

180 minutes

63 minutes

18 minutes

Explanation

This question tests multiplying one-digit numbers by multiples of 10 in the range 10-90 (CCSS.3.NBT.3), specifically using place value strategies and properties of operations. To multiply a digit by a multiple of 10, use the pattern: first multiply the digit by the unit digit, then multiply the result by 10. For example, 3×60: Think of 60 as 6 tens. Multiply 3×6=18, then multiply by 10 to get 180 (or think: 18 tens = 180). In this problem, Noah runs 3 days, 60 minutes each day. This represents the multiplication 3×60. Choice A is correct because 3×60=180 using the pattern (3×6=18, then ×10=180) or place value (3×6 tens = 18 tens = 180). This demonstrates understanding of multiplying by multiples of 10. Choice D is incorrect because it shows only 3×6=18 and forgot to multiply by 10. This error occurs when students don't complete the pattern. To help students multiply by multiples of 10: Connect to basic facts (if you know 3×6=18, then 3×60=180). Use place value language (3×60 = 3×6 tens = 18 tens = 180). Model with base-10 blocks (3 groups of 6 tens rods).

2

Leo has 4 boxes with 90 crayons each. How many crayons total?

900 crayons

360 crayons

94 crayons

36 crayons

Explanation

This question tests multiplying one-digit numbers by multiples of 10 in the range 10-90 (CCSS.3.NBT.3), specifically using place value strategies and properties of operations. To multiply a digit by a multiple of 10, use the pattern: first multiply the digit by the unit digit, then multiply the result by 10. For example, 4×90: Think of 90 as 9 tens. Multiply 4×9=36, then multiply by 10 to get 360 (or think: 36 tens = 360). In this problem, Leo has 4 boxes with 90 crayons each. This represents the multiplication 4×90. Choice B is correct because 4×90=360 using the pattern (4×9=36, then ×10=360) or place value (4×9 tens = 36 tens = 360). This demonstrates understanding of multiplying by multiples of 10. Choice C is incorrect because it shows only 4×9=36 and forgot to multiply by 10. This error occurs when students don't complete the pattern. To help students multiply by multiples of 10: Connect to basic facts (if you know 4×9=36, then 4×90=360). Use place value language (4×90 = 4×9 tens = 36 tens = 360). Model with base-10 blocks (4 groups of 9 tens rods).

3

Mina has 5 boxes with 80 crayons each. How many crayons total?

4000 crayons

400 crayons

85 crayons

40 crayons

Explanation

This question tests multiplying one-digit numbers by multiples of 10 in the range 10-90 (CCSS.3.NBT.3), specifically using place value strategies and properties of operations. To multiply a digit by a multiple of 10, use the pattern: first multiply the digit by the unit digit, then multiply the result by 10. For example, 5×80: Think of 80 as 8 tens. Multiply 5×8=40, then multiply by 10 to get 400 (or think: 40 tens = 400). Another way: 5×80 means 5 groups of 80, which is the same as 5 groups of 8 tens = 40 tens = 400. The pattern is: if 5×8=40, then 5×80=400 (one more zero because 80 has one zero). In this problem, Mina has 5 boxes with 80 crayons each. This represents the multiplication 5×80. Choice C is correct because 5×80=400 using the pattern (5×8=40, then ×10=400) or place value (5×8 tens = 40 tens = 400). This demonstrates understanding of multiplying by multiples of 10. Choice A is incorrect because it added 5+80=85 instead of multiplying. This error occurs when students confuse operations. To help students multiply by multiples of 10: Connect to basic facts (if you know 7×4=28, then 7×40=280). Use place value language (7×40 = 7×4 tens = 28 tens = 280). Model with base-10 blocks (7 groups of 4 tens rods). Practice skip counting by 10s, 20s, 30s, etc. Show pattern with arrays (7 rows of 40 objects arranged as 4 tens per row). Teach: multiply the digits, then add one zero (because 10 has one zero, 40 has one zero, etc.). Watch for students who forget to multiply by 10 or add too many zeros.

4

Use the pattern: If $9\times7=63$, what is $9\times70$?​

63

90

630

6300

Explanation

This question tests multiplying one-digit numbers by multiples of 10 in the range 10-90 (CCSS.3.NBT.3), specifically using place value strategies and properties of operations. To multiply a digit by a multiple of 10, use the pattern: first multiply the digit by the unit digit, then multiply the result by 10. For example, if 9×7=63, then 9×70 means multiply 63 by 10 to get 630. Another way: 9×70 means 9 groups of 70, which is the same as 9 groups of 7 tens = 63 tens = 630. In this problem, students use the pattern: if 9×7=63, what is 9×70? This represents extending a basic fact to multiply by a multiple of 10. Choice C is correct because 9×70=630 using the pattern (9×7=63, then ×10=630) or place value (9×7 tens = 63 tens = 630). This demonstrates understanding of multiplying by multiples of 10. Choice B is incorrect because it shows only 9×7=63 without multiplying by 10. This error occurs when students don't understand the relationship between basic facts and multiples of 10. To help students multiply by multiples of 10: Connect to basic facts (if you know 9×7=63, then 9×70=630). Use place value language (9×70 = 9×7 tens = 63 tens = 630). Teach: multiply the digits, then add one zero.

5

Ava has 7 bags with 10 marbles each. How many marbles?​

17 marbles

70 marbles

7 marbles

700 marbles

Explanation

This question tests multiplying one-digit numbers by multiples of 10 in the range 10-90 (CCSS.3.NBT.3), specifically using place value strategies and properties of operations. To multiply a digit by a multiple of 10, use the pattern: first multiply the digit by the unit digit, then multiply the result by 10. For example, 7×10: This is a special case where we multiply directly by 10, so 7×10=70. Another way: 7×10 means 7 groups of 10, which equals 70. In this problem, Ava has 7 bags with 10 marbles each. This represents the multiplication 7×10. Choice B is correct because 7×10=70, which is the basic pattern for multiplying by 10. This demonstrates understanding of multiplying by multiples of 10. Choice C is incorrect because it shows only 7 without multiplying by 10. This error occurs when students forget to perform the multiplication operation. To help students multiply by multiples of 10: Connect to basic facts (7×1=7, so 7×10=70). Use place value language (7×10 = 7 tens = 70). Model with base-10 blocks (7 tens rods). Practice skip counting by 10s: 10, 20, 30, 40, 50, 60, 70.

6

A number line shows 7 jumps of 10. What is $7\times 10$?

7

17

70

700

Explanation

This question tests multiplying one-digit numbers by multiples of 10 in the range 10-90 (CCSS.3.NBT.3), specifically using place value strategies and properties of operations. To multiply a digit by a multiple of 10, use the pattern: first multiply the digit by the unit digit, then multiply the result by 10. For example, 7×10: Think of 10 as 1 ten. Multiply 7×1=7, then multiply by 10 to get 70 (or think: 7 tens = 70). Another way: 7×10 means 7 groups of 10, which is the same as 7 groups of 1 ten = 7 tens = 70. The pattern is: if 7×1=7, then 7×10=70 (one more zero because 10 has one zero). In this problem, a number line shows 7 jumps of 10. This represents the multiplication 7×10. Choice C is correct because 7×10=70 using the pattern (7×1=7, then ×10=70) or place value (7×1 ten = 7 tens = 70). This demonstrates understanding of multiplying by multiples of 10. Choice A is incorrect because it added 7+10=17 instead of multiplying. This error occurs when students confuse operations. To help students multiply by multiples of 10: Connect to basic facts (if you know 7×4=28, then 7×40=280). Use place value language (7×40 = 7×4 tens = 28 tens = 280). Model with base-10 blocks (7 groups of 4 tens rods). Practice skip counting by 10s, 20s, 30s, etc. Show pattern with arrays (7 rows of 40 objects arranged as 4 tens per row). Teach: multiply the digits, then add one zero (because 10 has one zero, 40 has one zero, etc.). Watch for students who forget to multiply by 10 or add too many zeros.

7

A school cafeteria serves lunch to students in groups. If 7 groups of 40 students each eat lunch, and then 3 more groups of 40 students each eat lunch, what is the total number of students who ate lunch?

$$320$$ students total

$$120$$ students total

$$280$$ students total

$$400$$ students total

Explanation

First group: $$7 \times 40 = 280$$ students. Second group: $$3 \times 40 = 120$$ students. Total: $$280 + 120 = 400$$ students. Choice A shows only the first group, choice C shows $$8 \times 40$$, and choice D shows only the second group.

8

Lisa reads 9 pages every day. Each page has 20 words. After 3 days of reading, how many words has Lisa read?

$$27$$ words total

$$540$$ words total

$$60$$ words total

$$180$$ words total

Explanation

Pages read per day: 9 pages. Words per page: 20 words. Words per day: $$9 \times 20 = 180$$ words. Total words after 3 days: $$180 \times 3 = 540$$ words. Choice A shows pages only, choice B shows words per day only, and choice D shows words on 3 pages.

9

At a library, each bookshelf holds 80 books. The library has 4 bookshelves that are completely full and 3 bookshelves that are completely empty. How many books are on the shelves in total?

$$560$$ books total

$$240$$ books total

$$320$$ books total

$$80$$ books total

Explanation

Only the full shelves contain books. Books on full shelves: $$4 \times 80 = 320$$ books. Empty shelves contribute 0 books. Total books: $$320 + 0 = 320$$ books. Choice A shows $$7 \times 80$$, choice B shows $$3 \times 80$$, and choice D shows just one shelf.

10

Use place value: $5$ groups of $8$ tens. What is $5\times80$?

40

85

400

4000

Explanation

This question tests multiplying one-digit numbers by multiples of 10 in the range 10-90 (CCSS.3.NBT.3), specifically using place value strategies and properties of operations. To multiply a digit by a multiple of 10, use the pattern: first multiply the digit by the unit digit, then multiply the result by 10. For example, 5×80: Think of 80 as 8 tens. Multiply 5×8=40, then multiply by 10 to get 400 (or think: 40 tens = 400). In this problem, students find 5 groups of 8 tens using place value. This represents the multiplication 5×80. Choice A is correct because 5×80=400 using the pattern (5×8=40, then ×10=400) or place value (5×8 tens = 40 tens = 400). This demonstrates understanding of multiplying by multiples of 10. Choice B is incorrect because it shows only 5×8=40 and forgot to multiply by 10. This error occurs when students don't complete the place value reasoning. To help students multiply by multiples of 10: Connect to basic facts (if you know 5×8=40, then 5×80=400). Use place value language (5×80 = 5×8 tens = 40 tens = 400). Model with base-10 blocks (5 groups of 8 tens rods).

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