6. Which of the following is an example of the Identity Property of Multiplication?
a. 4 x 6 = 24
b. 98 x 1 = 98
c. 52 x 4 = 4 x 52
d. (3 x 4) x 5 = 3 x (4 x 5)
Answers
Step-by-step explanation:
The associative property of multiplication says that changing the grouping of the factors does not change the product. Here's an example:
\blueD{(2 \times 3) \times 4} = \goldD{2 \times (3 \times 4)}(2×3)×4=2×(3×4)start color #11accd, left parenthesis, 2, times, 3, right parenthesis, times, 4, end color #11accd, equals, start color #e07d10, 2, times, left parenthesis, 3, times, 4, right parenthesis, end color #e07d10
Remember that parentheses tell us to do something first. So here's how we evaluate the left-hand side:
\phantom{=}\blueD{(2 \times 3) \times 4}=(2×3)×4empty space, start color #11accd, left parenthesis, 2, times, 3, right parenthesis, times, 4, end color #11accd
= 6 \times 4=6×4equals, 6, times, 4
=24=24equals, 24
And here's how we evaluate the right-hand side:
\phantom{=}\goldD{2 \times (3 \times 4)}=2×(3×4)empty space, start color #e07d10, 2, times, left parenthesis, 3, times, 4, right parenthesis, end color #e07d10
= 2 \times12=2×12equals, 2, times, 12
=24=24equals, 24
Notice that both sides equal 242424 even though we multiplied the 222 and the 333 first on the left-hand side, and we multiplied the 333 and the 444 first on the right-hand side.
Which of these is an example of the associative property of multiplication?
Choose 1 answer:
Choose 1 answer: