Mastering Multiplication Strategies

Calculate the product of 234 and 56 using an area model.

• 12,104

• 13,104

• 14,104

• 15,104

Answer explanation

To calculate 234 x 56 using an area model, break it down: 234 = 200 + 30 + 4 and 56 = 50 + 6. Calculate each area: (200x50) + (200x6) + (30x50) + (30x6) + (4x50) + (4x6) = 12000 + 1200 + 1500 + 180 + 200 + 24 = 12104. Thus, the correct answer is 12,104.

Tags

CCSS.5.NBT.B.5

Estimate the product of 478 and 62 by rounding each number to the nearest ten.

• 28,000

• 30,000

• 32,000

• 34,000

Answer explanation

Round 478 to 480 and 62 to 60. Then, multiply: 480 x 60 = 28,800. The closest estimate is 30,000, making it the correct choice.

Tags

CCSS.4.NBT.B.5

A farmer has 125 rows of apple trees, with 48 trees in each row. How many apple trees are there in total?

• 5,800

• 6,000

• 6,125

• 6,250

Answer explanation

To find the total number of apple trees, multiply the number of rows by the number of trees per row: 125 rows × 48 trees/row = 6,000 trees. Therefore, the correct answer is 6,000.

Tags

CCSS.5.NBT.B.5

Identify the factors of 72.

• 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

• 1, 2, 4, 8, 16, 32, 64

• 1, 3, 5, 15, 30, 60

• 1, 2, 3, 5, 10, 15, 30

Answer explanation

The factors of 72 are the numbers that divide 72 without leaving a remainder. The correct choice includes all such numbers: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.

Tags

CCSS.4.OA.B.4

What is the least common multiple (LCM) of 8 and 12?

• 16

• 24

• 32

• 48

Answer explanation

To find the LCM of 8 and 12, list the multiples: 8 (8, 16, 24, 32...) and 12 (12, 24, 36...). The smallest common multiple is 24, making it the LCM.

Solve the word problem: A school is organizing a field trip. There are 9 buses, and each bus can carry 45 students. How many students can go on the trip?

• 385

• 405

• 425

• 445

Answer explanation

To find the total number of students, multiply the number of buses by the capacity of each bus: 9 buses × 45 students/bus = 405 students. Therefore, the correct answer is 405.

Tags

CCSS.3.OA.A.3

Multiply 367 by 24 using any method you prefer.

• 8,808

• 8,808

• 8,808

• 8,808

Answer explanation

To multiply 367 by 24, you can use the standard multiplication method: 367 x 24 = 8,808. Thus, the correct answer is 8,808.

Tags

CCSS.5.NBT.B.5

Estimate the product of 123 and 47 by rounding each number to the nearest hundred.

• 4,000

• 5,000

• 6,000

• 7,000

Answer explanation

Rounding 123 to the nearest hundred gives 100, and rounding 47 gives 0. The estimated product is 100 x 0 = 0. However, if we consider 123 as 100 and 47 as 50, the product is 100 x 50 = 5000, which rounds to 4000.

Tags

CCSS.4.NBT.B.5

A rectangular garden is 25 meters long and 18 meters wide. Calculate the area of the garden using multiplication.

• 400 square meters

• 450 square meters

• 475 square meters

• 500 square meters

Answer explanation

To find the area of the rectangular garden, multiply the length by the width: 25 meters * 18 meters = 450 square meters. Therefore, the correct answer is 450 square meters.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Identify the multiples of 9 up to 100.

• 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99

• 9, 19, 29, 39, 49, 59, 69, 79, 89, 99

• 9, 18, 28, 38, 48, 58, 68, 78, 88, 98

• 9, 19, 29, 39, 49, 59, 69, 79, 89, 99

Answer explanation

The multiples of 9 are obtained by multiplying 9 with integers. Up to 100, these are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, and 99. Thus, the correct answer is 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99.