10*(2*-3)=(10*2)*-3 is an example of ___ property
Answers
Answer:
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Step-by-step explanation:
Commutative property of multiplication: Changing the order of factors does not change the product. For example, 4 \times 3 = 3 \times 44×3=3×44, times, 3, equals, 3, times, 4.
Associative property of multiplication: Changing the grouping of factors does not change the product. For example, (2 \times 3) \times 4 = 2 \times (3 \times 4)(2×3)×4=2×(3×4)left parenthesis, 2, times, 3, right parenthesis, times, 4, equals, 2, times, left parenthesis, 3, times, 4, right parenthesis.
Identity property of multiplication: The product of 111 and any number is that number. For example, 7 \times 1 = 77×1=77, times, 1, equals, 7.
Commutative property of multiplication
The commutative property of multiplication says that changing the order of factors does not change the product. Here's an example:
4 \times 3 = 3 \times 44×3=3×44, times, 3, equals, 3, times, 4
Notice how both products are 121212 even though the ordering is reversed.
Here's another example with more factors:
1 \times 2 \times 3 \times 4 = 4 \times 3 \times 2 \times 11×2×3×4=4×3×2×11, times, 2, times, 3, times, 4, equals, 4, times, 3, times, 2, times, 1
Notice that both products are 242424.
Which of these is an example of the commutative property of multiplication?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
3 \times 5 = 5 \times 33×5=5×33, times, 5, equals, 5, times, 3
(Choice B)
B
2 \times 6 = 4 \times 32×6=4×32, times, 6, equals, 4, times, 3
Associative property of multiplication
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:
(Choice A)
A
3 \times 5 \times 7 = 3 \times 5 \times 73×5×7=3×5×73, times, 5, times, 7, equals, 3, times, 5, times, 7
(Choice B)
B
3 \times (7 \times 4) = (3 \times 7) \times 43×(7×4)=(3×7)×43, times, left parenthesis, 7, times, 4, right parenthesis, equals, left parenthesis, 3, times, 7, right parenthesis, times, 4
Identity property of multiplication
The identity property of multiplication says that the product of 111 and any number is that number. Here's an example:
7 \times 1 = 77×1=77, times, 1, equals, 7
The commutative property of multiplication tells us that it doesn't matter if the 111 comes before or after the number. Here's an example of the identity property of multiplication with the 111 before the number: