Back to Exercise: Properties of Operations: Commutative, Associative, and Distributive

Exercises: Properties of Operations: Commutative, Associative, and Distributive

Work through each section in order. Show your work where indicated. For the
mental-calculation problems, use whichever property makes the arithmetic easiest.

Grade 7·18 problems·~28 min·Uganda NCDC Primary 7 Mathematics·lesson·operations-01

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Recall / Warm-Up

These problems review the arithmetic and bracket-order skills you already know.

Which statement is true?

$20 \div 5 = 5 \div 20$

$23 - 47 = 47 - 23$

$23 + 47 = 47 + 23$

$12 - 8 = 8 - 12$

Follow the bracket order to evaluate $7 + (4 + 6)$ .

Fluency Practice

The commutative property lets you rewrite $8 \times 9$ as which of these?

$9 \times 8$

$8 + 9$

$9 \div 8$

$8 - 9$

Using the associative property, $(2 \times 5) \times 8$ is equal to which of these?

$2 \times 5 \times 5 \times 8$

$8 \times (5 \times 2) \times 8$

$(2 - 5) - 8$

$2 \times (5 \times 8)$

$An area model rectangle of height 6 split into two parts of width 40 and 7, showing 6 times 40 and 6 times 7$

Use the distributive property to expand and evaluate $6 \times (40 + 7)$ .

Factorise $9 \times 23 + 9 \times 7$ by taking out the common factor.

$9 \times 9 \times (23 + 7)$

$9 \times (23 + 7)$

$(9 + 9) \times (23 + 7)$

$9 \times (23 \times 7)$

Rearrange the numbers to make the addition easy, then evaluate $38 + 57 + 62$ .

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