Associative Property (Missing Digit) - Find the value of n - Practice

Sep 30, 2026

Uploaded by Aldword

Worksheets on the associative property using multiplication with a missing digit variable n. Problems present equations like 5 × (8 × n) = (5 × 8) × 7 and similar rearrangements where n must be chosen from multiple-choice options A–D. An answer key is included to verify the correct values for each item. The set emphasizes recognizing how regrouping factors preserves the product while determining the unknown digit.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Find the value of n

Multiple-choice equations (A–D)

Answer key verification

Associative Property (Missing Digit) Name: | Find the value of n.
1) 5 × ( 8 × n ) = ( 5 × 8 ) × 7 2) 6 × ( 3 × n ) = ( 6 × 3 ) × 8 | | | | | | | | | | Answers | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | | | | | | | | | | | | | | | | | A. 5 B. 3
C. 7 D. 8 | A. 8 B. 6
C. 5 D. 3 | | | | | | | | 1. | | | | | 3) | ( 1 × n ) × 5 = 1 × ( 4 × 5 ) 4) | ( 10 × 3 ) × 2 = n × ( 3 × 2 ) | | | | | | | | 2.
3. | | | | | | A. 9 B. 5
C. 4 D. 1 | A. 3 B. 10
C. 8 D. 2 | | | | | | | | 4. | | | | | 5)
7) | ( n × 1 ) × 5 = 0 × ( 1 × 5 ) 6)
A. 0 B. 1
C. 5 D. 8
2 × ( 0 × 9 ) = ( 2 × n ) × 9 8)
A. 9 B. 7 | n × ( 8 × 7 ) = ( 1 × 8 ) × 7
A. 7 B. 1
C. 9 D. 8
4 × ( 10 × 1 ) = ( 4 × n ) × 1
A. 4 B. 10 | | | | | | | | 5.
6.
7.
8.
9. | | | | | 9) | C. 0 D. 2
( 6 × 7 ) × 1 = 6 × ( 7 × n ) 10)
A. 1 B. 7 | C. 7 D. 1
6 × ( 1 × 10 ) = ( 6 × 1 ) × n
A. 1 B. 3 | | | | | | | | 10.
11.
12. | | | | | 11) | C. 6 D. 5
4 × ( 2 × 3 ) = ( 4 × 2 ) × n 12) | C. 10 D. 6
( 8 × 10 ) × 3 = 8 × ( n × 3 ) | | | | | | | | 13.
14. | | | | | | A. 3 B. 9 | A. 3 B. 10 | | | | | | | | | | | | | | C. 4 D. 2 | C. 1 D. 8 | | | | | | | | | | | | | 13) | ( 3 × 4 ) × n = 3 × ( 4 × 5 ) 14) | ( 2 × 9 ) × 7 = 2 × ( 9 × n ) | | | | | | | | | | | | | | A. 10 B. 5 | A. 7 B. 8 | | | | | | | | | | | | | | C. 3 D. 4 | C. 9 D. 2 | | | | | | | | | | | | | | Math
[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 7 | 1-10
11-14 | 93 | 86 | 79 | 71 | 64 | 57 | 50 | 43 | 36 | 29 | | | | | | 21 | 14 | 7 | 0 | | | | | | | Associative Property (Missing Digit) Name: Answer Key | Find the value of n. | | | | | | | | | | | Answers | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 1) 5 × ( 8 × n ) = ( 5 × 8 ) × 7
A. 5 B. 3
C. 7 D. 8 | | 2) 6 × ( 3 × n ) = ( 6 × 3 ) × 8
A. 8 B. 6
C. 5 D. 3 | | | | | | | | | 1. C | | | | | 3) | ( 1 × n ) × 5 = 1 × ( 4 × 5 ) 4) | | ( 10 × 3 ) × 2 = n × ( 3 × 2 ) | | | | | | | | 2. A
3. C | | | | | | A. 9 B. 5
C. 4 D. 1 | | A. 3 B. 10
C. 8 D. 2 | | | | | | | | 4. B | | | | | 5)
7) | ( n × 1 ) × 5 = 0 × ( 1 × 5 ) 6)
A. 0 B. 1
C. 5 D. 8
2 × ( 0 × 9 ) = ( 2 × n ) × 9 8)
A. 9 B. 7 | | n × ( 8 × 7 ) = ( 1 × 8 ) × 7
A. 7 B. 1
C. 9 D. 8
4 × ( 10 × 1 ) = ( 4 × n ) × 1
A. 4 B. 10 | | | | | | | | 5. A
6. B
7. C
8. B
9. A | | | | | 9) | C. 0 D. 2
( 6 × 7 ) × 1 = 6 × ( 7 × n ) 10)
A. 1 B. 7 | | C. 7 D. 1
6 × ( 1 × 10 ) = ( 6 × 1 ) × n
A. 1 B. 3 | | | | | | | | 10. C
11. A
12. B | | | | | 11) | C. 6 D. 5
4 × ( 2 × 3 ) = ( 4 × 2 ) × n 12) | | C. 10 D. 6
( 8 × 10 ) × 3 = 8 × ( n × 3 ) | | | | | | | | 13. B
14. A | | | | | | A. 3 B. 9 | | A. 3 B. 10 | | | | | | | | | | | | | | C. 4 D. 2 | | C. 1 D. 8 | | | | | | | | | | | | | 13) | ( 3 × 4 ) × n = 3 × ( 4 × 5 ) 14) | | ( 2 × 9 ) × 7 = 2 × ( 9 × n ) | | | | | | | | | | | | | | A. 10 B. 5 | | A. 7 B. 8 | | | | | | | | | | | | | | C. 3 D. 4 | | C. 9 D. 2 | | | | | | | | | | | | | | Math
[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | | 7 | 1-10
11-14 | 93 | 86 | 79 | 71 | 64 | 57 | 50 | 43 | 36 | 29 | | | | | | | 21 | 14 | 7 | 0 | | | | | | | Associative Property (Missing Digit) Name: | Find the value of n. | 2) | 6 × ( 3 × n ) = ( 6 × 3 ) | × 8 | | | | | Answers | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | | | | | | | | | | | | | | 1) 5 × ( 8 × n ) = ( 5 × 8 ) × 7 | | | | | | | | | | | | | A. 5 B. 3
C. 7 D

FAQs

What does the missing digit n represent in these problems?

In each equation, n is the unknown digit that makes both sides of the associative property statement equivalent.

How do you solve an equation like 5 × (8 × n) = (5 × 8) × 7?

Compute or simplify each side, then set the results equal to determine which value of n matches the correct product.

Why can the parentheses be rearranged in these problems?

Multiplication follows the associative property, so changing how factors are grouped does not change the overall product when n is chosen correctly.

Sep 30, 2026

Uploaded by Aldword