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Decomposing Arrays Worksheet

Grade 5 Math worksheet on decomposing arrays to understand multiplication.

Grade 5 Math MultiplicationMultiplication StrategiesDecomposing Arrays
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Includes

2 Short AnswerFill in the BlanksMultiple Choice

Standards

CCSS.MATH.CONTENT.5.NBT.B.5

Topics

mathgrade 5multiplicationarraysdecomposing
6 sections · Free to use · Printable
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Decomposing Arrays

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Read each question carefully and follow the instructions to decompose the arrays.

1. Look at the array below. Decompose it into two smaller arrays and write the multiplication sentences for each part, then find the total product.

10 x 1010 x 10

Array 1:   x   =  

Array 2:   x   =  

Total Product:   +   =  

2. Complete the equations to show how the array is decomposed:

5 x 20

20 x 5 = (20 x 2) + (20 x  ) =   +   =  

3. Draw an array for 7 x 8. Then, decompose it into two smaller arrays and write the multiplication sentences for each part, and find the total product.

Array 1:   x   =  

Array 2:   x   =  

Total Product:   +   =  

4. Which of the following shows a correct way to decompose an array of 6 x 9?

a

(6 x 3) + (6 x 6)

b

(6 x 4) + (6 x 5)

c

(6 x 2) + (6 x 7)

d

All of the above