McGraw Hill Math Grade 7 Lesson 4.4 Answer Key Zero Property, Equality Properties

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McGraw-Hill Math Grade 7 Answer Key Lesson 4.4 Zero Property, Equality Properties

Exercises Solve

Question 1.
5 × 0 =
Answer:
5 × 0 = 0 
Explanation:
Any number multiplied with zero is equal to zero. This property is called as zero property of multiplication.

Question 2.
0(1 + 4) =
Answer:
0(1 + 4)
= (0 x 1) + (0 x 4)
= 0 + 0
= 0
0(1 + 4) = 0
Explanation:
Zero property of addition and multiplication states that any addend + 0 will not change the total and any number multiplied with 0 is equal to 0.

Question 3.
0 × 1.111 =
Answer:
0 × 1.111 = 0 
Explanation:
Any number multiplied with zero is equal to zero. This property is called as zero property of multiplication.

Question 4.
7(0 + 5) =
Answer:
7(0 + 5)
= (7 x 0) + (7 x 5)
= 0 + 35
= 35
7(0 + 5) = 35
Explanation:
Zero property of addition and multiplication states that any addend + 0 will not change the total and any number multiplied with 0 is equal to 0.

Question 5.
0 × 0 × 3 × 9 =
Answer:
0 × 0 × 3 × 9 = 0
Explanation:
Any number multiplied with zero is equal to zero. This property is called as zero property of multiplication.

Question 6.
233.31 × 0 =
Answer:
233.31 × 0 = 0
Explanation:
Any number multiplied with zero is equal to zero. This property is called as zero property of multiplication.

Question 7.
0 × 200.893 =
Answer:
0 × 200.893 = 0
Explanation:
Any number multiplied with zero is equal to zero. This property is called as zero property of multiplication.

Question 8.
0 × 0 + 2 =
Answer:
0 × 0 + 2 = 0 + 2 = 2
Explanation:
Multiply 0 with 0 the product is equal to 0. Add 0 with 2 the sum is equal to 2.

Question 9.
0 (2 + 0) =
Answer:
0 (2 + 0) = (0 x 2) + (0 x 0) = 0
0 (2 + 0) = 0
Explanation:
Zero property of addition and multiplication states that any addend + 0 will not change the total and any number multiplied with 0 is equal to 0.

For questions 10-13, answer yes or no and briefly explain your answer.

Question 10.
If 8 + 1 = 6 + 3, then does 4(8 + 1) = 4(6 + 3)?
Answer:
Yes, If 8 + 1 = 6 + 3, then 4(8 + 1) = 4(6 + 3).
Explanation:
In equality property of multiplication the equation is equal if we multiply both sides by the same number. Here we are multiplying both sides by 4. So the answer is yes.

Question 11.
If 6 × 9 = 54, then does 4 + (6 × 9) = 54 + 4?
Answer:
Yes, If 6 × 9 = 54, then 4 + (6 × 9) = 54 + 4.
Explanation:
In equality property of addition the equation is equal if we add both sides by the same number. Here we are adding both sides by 4. So the answer is yes.

Question 12.
If \(\frac{1}{5}\) = \(\frac{3}{15}\), then does \(\frac{1}{5}\) – 5 = \(\frac{3}{15}\) – 5 ?
Answer:
Yes, If \(\frac{1}{5}\) = \(\frac{3}{15}\), then \(\frac{1}{5}\) – 5 = \(\frac{3}{15}\) – 5.
Explanation:
In equality property of subtraction the equation is equal if we subtract both sides by the same number. Here we are subtracting both sides by 5. So the answer is yes.

Question 13.
If 5 – 1 = 20 × .2, then does \(\frac{(5-1)}{22}\) = \(\frac{(20 \times .2)}{22}\)?
Answer:
Yes, If 5 – 1 = 20 × .2, then does \(\frac{(5-1)}{22}\) = \(\frac{(20 \times .2)}{22}\).
Explanation:
In equality property of division the equation is equal if we divide both sides by the same number. Here we are dividing both sides by 22. So the answer is yes.