Grade 5 Math: Equivalent Expressions
This worksheet focuses on helping 5th-grade students understand and identify equivalent expressions using various methods, including arithmetic properties and visual models.
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Grade 5 Math: Equivalent Expressions
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Read each question carefully and follow the instructions to determine equivalent expressions. Show your work where necessary.
1. Which expression is equivalent to 5 × (7 + 3)?
5 × 7 + 3
5 + 7 + 3
(5 × 7) + (5 × 3)
5 × 7 × 3
2. Which expression is equivalent to 12 + 8 - 4?
12 + (8 - 4)
(12 - 4) + 8
8 - 12 + 4
Both a and b
3. The expression 3 × (6 + 2) is equivalent to (3 × 6) + (3 × ).
4. To evaluate 15 - 5 + 2, you should first perform the operation.
5. The commutative property of addition states that changing the order of addends does not change the .
6. The expression 4 + (2 × 3) is equivalent to (4 + 2) × 3.
True
False
7. 10 ÷ 2 + 3 is equivalent to 10 ÷ (2 + 3).
True
False
8. Write an expression that is equivalent to 24 - 8 + 2 using the associative property of addition/subtraction. Explain your reasoning.
9. Draw a number line to show that 3 + 4 is equivalent to 4 + 3.
Match each expression on the left with its equivalent expression on the right.
10. 6 × (10 - 2)
a. 15
11. 20 ÷ 4 + 10
b. 48
12. (7 + 3) × 1
c. 10