Practice the questions of **McGraw Hill Math Grade 8 Answer Key PDF Lesson 11.4 Properties of Equality and Zero **to secure good marks & knowledge in the exams.

## McGraw-Hill Math Grade 8 Answer Key Lesson 11.4 Properties of Equality and Zero

**Exercises**

**SOLVE**

Question 1.

5 × 0

Answer:

0

Explanation:

Any number multiplied by zero is zero.

5 × 0 = 0

Question 2.

(2 + 4) 0

Answer:

0

Explanation:

Any number multiplied by zero is zero.

(2 + 4) 0

= 6 x 0 = 0

Question 3.

0 × 3.56

Answer:

0

Explanation:

If we multiply zero with any number, the product is zero.

0 × 3.56 = 0

Question 4.

2(5 – 5)

Answer:

0

Explanation:

Any number multiplied by zero is zero.

2(5 – 5)

2 x 0 = 0

**Identity which Equality Property is being displayed.**

Question 5.

If 8 + 1 = 6 + 3, then does 4(8 + 1) = 4(6 + 3)?

Answer:

Equality property of Multiplication

Explanation:

Multiplying the same number on both sides to keep the equation equal is known as,

Equality property of Multiplication.

8 + 1 = 6 + 3, then does 4(8 + 1) = 4(6 + 3)

9 = 9 then does 4 x 9 = 4 x 9

9 = 9 then does 36 = 36

Question 6.

If 3 × 15 = 9 × 5, then does 6 + 3 × 15 = 6 + 9 × 5?

Answer:

Equality property of Addition

Explanation:

Adding the same number on both sides to keep the equation equal is known as,

Equality property of Addition.

3 × 15 = 9 × 5, then does 6 + 3 × 15 = 6 + 9 × 5

45 = 45 then does 6 + 45 =6 + 45

45 = 45 then 51 = 51

Question 7.

If \(\frac{1}{5}\) = \(\frac{3}{15}\), then does \(\frac{1}{5}\) – 5 = \(\frac{3}{15}\) – 5?

Answer:

Equality property of Subtraction

Explanation:

Subtracting the same number on both sides to keep the equation equal is known as,

Equality property of Subtraction.

\(\frac{1}{5}\) = \(\frac{3}{15}\), then does \(\frac{1}{5}\) – 5 = \(\frac{3}{15}\) – 5

\(\frac{1}{5}\) = \(\frac{1}{5}\), then does \(\frac{1}{5}\)-5 = \(\frac{1}{5}\) – 5

Question 8.

If 6 × 7 = 21 × 2, then does \(\frac{(6 \times 7)}{4}\) = \(\frac{(21 \times 2)}{4}\) ?

Answer:

Equality property of Division

Explanation:

Dividing with the same number on both sides to keep the equation equal is known as,

Equality property of Division.

6 × 7 = 21 × 2, then does \(\frac{(6 \times 7)}{4}\) = \(\frac{(21 \times 2)}{4}\)

42 = 42 then does \(\frac{(42)}{4}\) = \(\frac{(42)}{4}\)

Question 9.

If 3 × .75 = 2 × 1.125, then does \(\frac{(3 \times .75)}{200}\) = \(\frac{(2 \times 1.125)}{200}\)?

Answer:

Equality property of Division

Explanation:

Dividing with the same number on both sides to keep the equation equal is known as,

Equality property of Division.

3 × .75 = 2 × 1.125, then does \(\frac{(3 \times .75)}{200}\) = \(\frac{(2 \times 1.125)}{200}\)

2.25 = 2.25 then does \(\frac{2.25}{200}\) = \(\frac{2.25}{200}\)

Question 10.

If 20 – 3 = 12 + 5, then does 2o – 3 + 11.5 = 12 + 5 + 11.5?

Answer:

Equality property of Addition

Explanation:

Adding the same number on both sides to keep the equation equal is known as,

Equality property of Addition.

20 – 3 = 12 + 5, then does 20 – 3 + 11.5 = 12 + 5 + 11.5

17 = 17 then does 17 + 11.5 = 17 + 11.5

17 = 17 then does 28.5 = 28.5

Question 11.

If 3 + 4 + 1 = 11 – 3, then does 3 + 4 + 1 + 8 = 11 – 3 + 8?

Answer:

Equality property of Addition

Explanation:

Adding the same number on both sides to keep the equation equal is known as,

Equality property of Addition.

3 + 4 + 1 = 11 – 3, then does 3 + 4 + 1 + 8 = 11 – 3 + 8

8 = 8 then does 16 = 16

Question 12.

If 5 – 1 = 20 × .2 then does \(\frac{(5-1)}{22}\) = \(\frac{(20 \times .2)}{22}\)?

Answer:

Equality property of Division

Explanation:

Dividing with the same number on both sides to keep the equation equal is known as,

Equality property of Division.

5 – 1 = 20 × .2 then does \(\frac{(5-1)}{22}\) = \(\frac{(20 \times .2)}{22}\)

4 = 4 then does \(\frac{4}{22}\) = \(\frac{4}{22}\)