Free 8th Grade Math Worksheets—Printable w/ Answers — Mashup Math - Free Printable

Problem Description:

The task involves using the Associative Property of Multiplication to fill in the missing values in each example. The associative property states that for any numbers \(a\), \(b\), and \(c\):

\[
(a \times b) \times c = a \times (b \times c)
\]

This means that when multiplying three or more numbers, the way in which the numbers are grouped does not affect the product.

Solution:

We will solve each problem step by step, applying the associative property where necessary.

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#### 1. \((7 \times 7) \times 5 = \_\_ \times (3 \times 5)\)

- Left side: \((7 \times 7) \times 5 = 49 \times 5\)
- Right side: \(\_\_ \times (3 \times 5) = \_\_ \times 15\)

Using the associative property, we can see that the missing number must be \(7 \times 7 = 49\).

Answer: \(49\)

---

#### 2. \((6 \times 2) \times 4 = (\_\_ \times 4) \times 6\)

- Left side: \((6 \times 2) \times 4 = 12 \times 4\)
- Right side: \((\_\_ \times 4) \times 6\)

Using the associative property, the missing number must be \(6 \times 2 = 12\).

Answer: \(12\)

---

#### 3. \((8 \times 9) \times 5 = (\_\_ \times 5) \times 3\)

- Left side: \((8 \times 9) \times 5 = 72 \times 5\)
- Right side: \((\_\_ \times 5) \times 3\)

Using the associative property, the missing number must be \(8 \times 9 = 72\).

Answer: \(72\)

---

#### 4. \(7 \times (-8 \times 10) = (\_\_ \times 7) \times 13\)

- Left side: \(7 \times (-8 \times 10) = 7 \times (-80)\)
- Right side: \((\_\_ \times 7) \times 13\)

Using the associative property, the missing number must be \(-8 \times 10 = -80\).

Answer: \(-80\)

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#### 5. \((5 \times 17) \times 21 = 21 \times (\_\_ \times 12)\)

- Left side: \((5 \times 17) \times 21 = 85 \times 21\)
- Right side: \(21 \times (\_\_ \times 12)\)

Using the associative property, the missing number must be \(5 \times 17 = 85\).

Answer: \(85\)

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#### 6. \((14 \times 26) \times 14 = 14 \times (\_\_ \times 8)\)

- Left side: \((14 \times 26) \times 14 = 364 \times 14\)
- Right side: \(14 \times (\_\_ \times 8)\)

Using the associative property, the missing number must be \(14 \times 26 = 364\).

Answer: \(364\)

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#### 7. \((29 \times 9) \times 5 = 29 \times (\_\_ \times 33)\)

- Left side: \((29 \times 9) \times 5 = 261 \times 5\)
- Right side: \(29 \times (\_\_ \times 33)\)

Using the associative property, the missing number must be \(9 \times 5 = 45\).

Answer: \(45\)

---

#### 8. \((\_\_ \times 5) \times 5 = (4 \times 4) \times 5\)

- Right side: \((4 \times 4) \times 5 = 16 \times 5\)
- Left side: \((\_\_ \times 5) \times 5\)

Using the associative property, the missing number must be \(4 \times 4 = 16\).

Answer: \(16\)

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#### 9. \((9 \times 46) \times 78 = (27 \times \_\_) \times 78\)

- Left side: \((9 \times 46) \times 78 = 414 \times 78\)
- Right side: \((27 \times \_\_) \times 78\)

Using the associative property, the missing number must be \(9 \times 46 = 414\).

Answer: \(414\)

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#### 10. \((4 \times 22) \times 25 = (4 \times 25) \times \_\_)\)

- Left side: \((4 \times 22) \times 25 = 88 \times 25\)
- Right side: \((4 \times 25) \times \_\_ = 100 \times \_\_\)

Using the associative property, the missing number must be \(22\).

Answer: \(22\)

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Final Answers:

\[
\boxed{49, 12, 72, -80, 85, 364, 45, 16, 414, 22}
\]