# Understanding the Distributive Property Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to **Understanding the Distributive Property**. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using **Show Answer** button. You can use **Next Quiz** button to check new set of questions in the quiz.

### Answer : C

### Explanation

**Step 1:**

Distributive property of multiplication states that for any three numbers 'a', 'b' and 'c'

a × (b + c) = (a × b) + (a × c)

**Step 2:**

Using distributive property of multiplication

7 × (4 + 6) = 7 × 4 + 7 × 6 = 28 + 42 = 70

### Answer : D

### Explanation

**Step 1:**

Distributive property of multiplication states that for any three numbers 'a', 'b' and 'c'

a × (b + c) = (a × b) + (a × c)

**Step 2:**

Using distributive property of multiplication

6 × (4 + 3) = 6 × 4 + 6 × 3 = 24 + 18 = 42

### Answer : B

### Explanation

**Step 1:**

Distributive property of multiplication states that for any three numbers 'a', 'b' and 'c' a × (b + c) = (a × b) + (a × c)

**Step 2:**

Using distributive property of multiplication

9 × (5 + 2) = 9 × 5 + 9 × 2 = 45 + 18 = 63

Q 4 - Evaluate given expression using distributive property 11 × (7 − 6)

### Answer : A

### Explanation

**Step 1:**

Distributive property of multiplication states that for any three numbers 'a', 'b' and 'c'

a × (b – c) = (a × b) – (a × c)

**Step 2:**

Using distributive property of multiplication

11 × (7 − 6) = 11 × 7 − 11 × 6 = 77 – 66 = 11

### Answer : B

### Explanation

**Step 1:**

**Step 2:**

Using distributive property of multiplication

8 × (3 + 4) = 8 × 3 + 8 × 4 = 24 + 32 = 56

### Answer : C

### Explanation

**Step 1:**

Distributive property of multiplication states that for any three numbers 'a', 'b' and 'c' a × (b – c) = (a × b) – (a × c)

**Step 2:**

Using distributive property of multiplication

8 × (7 − 3) = 8 × 7 − 8 × 3 = 56 – 24 = 32

Q 7 - Evaluate given expression using distributive property 7 × (3 + 11)

### Answer : D

### Explanation

**Step 1:**

**Step 2:**

Using distributive property of multiplication

7 × (3 + 11) = 7 × 3 + 7 × 11 = 21 + 77 = 98

### Answer : C

### Explanation

**Step 1:**

**Step 2:**

Using distributive property of multiplication

6 × (5 + 9) = 6 × 5 + 6 × 9 = 30 + 54 = 84

Q 9 - Evaluate given expression using distributive property 10 × (7 + 4)

### Answer : B

### Explanation

**Step 1:**

**Step 2:**

Using distributive property of multiplication

10 × (7 + 4) = 10 × 7 + 10 × 4 = 70 + 40 = 110

Q 10 - Evaluate given expression using distributive property 5 × (2 + 9)

### Answer : A

### Explanation

**Step 1:**

**Step 2:**

Using distributive property of multiplication

5 × (2 + 9) = 5 × 2 + 5 × 9 = 10 + 45 = 55