Multiply by Multiples of 10
Help Questions
3rd Grade Math › Multiply by Multiples of 10
Noah runs 3 days, 60 minutes each day. How many minutes total?
180 minutes
63 minutes
18 minutes
360 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).
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).
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.
Mina has 5 boxes with 80 crayons each. How many crayons total?
400 crayons
85 crayons
40 crayons
4000 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.
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.
Ava has 7 bags with 10 marbles each. How many marbles?
7 marbles
700 marbles
70 marbles
17 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.
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.
Noah runs 3 days, 60 minutes each day. How many minutes total?
18 minutes
63 minutes
360 minutes
180 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).
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).
Use the pattern: If $4\times5=20$, what is $4\times50$?
20
40
200
2000
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 4×5=20, then 4×50 means multiply 20 by 10 to get 200. Another way: 4×50 means 4 groups of 50, which is the same as 4 groups of 5 tens = 20 tens = 200. In this problem, students use the pattern: if 4×5=20, what is 4×50? This represents extending a basic fact to multiply by a multiple of 10. Choice A is correct because 4×50=200 using the pattern (4×5=20, then ×10=200) or place value (4×5 tens = 20 tens = 200). This demonstrates understanding of multiplying by multiples of 10. Choice B is incorrect because it shows only 4×5=20 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 4×5=20, then 4×50=200). Use place value language (4×50 = 4×5 tens = 20 tens = 200). Practice skip counting by 10s, 20s, 30s, etc.