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McGraw-Hill Math Grade 7 Answer Key Lesson 4.3 The Distributive and Identity Properties
Exercises Solve
Question 1.
0 + 6 =
Answer:
0 + 6 = 6
Explanation:
In addition, the identity element is 0. Any addend + 0 will not change the total.
Question 2.
4(4 + 3) =
Answer:
4(4 + 3) = (4 x 4) + (4 x 3) = 16 + 12 = 28
Explanation:
The Distributive property of multiplication over addition states that when we multiply numbers, we have to multiply the numbers each separately and then add their products.
Question 3.
7 + 0 =
Answer:
7 + 0 = 7
Explanation:
In addition, the identity element is 0. Any addend + 0 will not change the total.
Question 4.
4(2 + 3 + 4) =
Answer:
4(2 + 3 + 4)
= (4 x 2) + (4 x 3) + (4 x 4)
= 8 + 12 + 16
= 36
4(2 + 3 + 4) = 36
Explanation:
The Distributive property of multiplication over addition states that when we multiply numbers, we have to multiply the numbers each separately and then add their products as we can observe in the above answer.
Question 5.
15(7 + 3) =
Answer:
15(7 + 3)
= (15 x 7) + (15 x 3)
= 105 + 45
= 150
15(7 + 3) = 150
Explanation:
The Distributive property of multiplication over addition states that when we multiply numbers, we have to multiply the numbers each separately and then add their products as we can observe in the above answer.
Question 6.
6(5 + 0) =
Answer:
6(5 + 0)
= (6 x 5) + (6 x 0)
= 30 + 0
= 30
6(5 + 0) = 30
Explanation:
The Distributive property of multiplication over addition states that when we multiply numbers, we have to multiply the numbers each separately and then add their products as we can observe in the above answer.
Question 7.
3 × 4 + 2 × 9 =
Answer:
3 × 4 + 2 × 9 = 12 + 18 = 30Â
Explanation:
Multiply 3 with 4 and 2 with 9 the products are equal to 12 and 18. After adding the products the result is 30.
Question 8.
(4 + 8) 4 =
Answer:
(4 + 8) 4
= (4 x 4) + (8 x 4)
= 16 + 32
= 48
(4 + 8) 4 = 48
Explanation:
Multiply 4 with 4 and 8 with 4 the products are equal to 16 and 32. After adding the products the result is 48.
Question 9.
34 + 0 + 7 =
Answer:
34 + 0 + 7 = 41
Explanation:
Perform addition operation on above three given numbers. Add 34 with 0 and 7 the sum is equal to 41.
Question 10.
35(2 + 3 + 0) =
Answer:
35(2 + 3 + 0)
= (35 x 2) + (35 x 3) + (35 x 0)
= 70 + 105 + 0
= 175
35(2 + 3 + 0) = 175
Explanation:
The Distributive property of multiplication over addition states that when we multiply numbers, we have to multiply the numbers each separately and then add their products as we can observe in above answer.
Question 11.
0 + 7 + 7 + 0 =
Answer:
0 + 7 + 7 + 0 = 14
Explanation:
Perform addition operation on above four given numbers. Add 0 with 7, 7 and 0 the sum is equal to 14.
Question 12.
5(33 – 11) =
Answer:
5(33 – 11)
= (5 x 33) – (5 x 11)
= 165 – 55
= 110
5(33 – 11) = 110
Explanation:
The Distributive property of multiplication over subtraction states that when we multiply numbers, we have to multiply the numbers each separately and then subtract their products as we can observe in the above answer.
Question 13.
(64 – 28) 2 =
Answer:
(64 – 28) 2
= (64 x 2) – (28 x 2)
= 128 – 56
= 72
(64 – 28) 2 = 72
Explanation:
The Distributive property of multiplication over subtraction states that when we multiply numbers, we have to multiply the numbers each separately and then subtract their products as we can observe in the above answer.
Question 14.
7 – 0 + 0 – 7 =
Answer:
7 – 0 + 0 – 7 = 7 – 7 = 0
Explanation:
Subtract 0 from 7 and 7 from 0 the differences are equal to 0.
Question 15.
8(15 + 2 – 15) =
Answer:
8(15 + 2 – 15)
= (8 x 15) + (8 x 2) – (8 x 15)
= 120 + 16 – 120
= 16
8(15 + 2 – 15) = 16