Which of the following is an example of the distributive property?a.)4 × 3 = 3 × 4b.)(2 × 7) × 9 = 2 × (7 × 9)c.)11 + (-11) = 0d.)6(5 + 2) = 6(5) + 6(2)
Question
Which of the following is an example of the distributive property?
a.) 4 × 3 = 3 × 4
b.) (2 × 7) × 9 = 2 × (7 × 9)
c.) 11 + (-11) = 0
d.) 6(5 + 2) = 6(5) + 6(2)
Solution
The example of the distributive property from the options given is d.) 6(5 + 2) = 6(5) + 6(2).
Here's why:
The distributive property states that the product of a number and the sum of two or more other numbers is equal to the sum of the products of the first number and each of the other numbers individually.
In option d, 6 is multiplied by the sum of 5 and 2. According to the distributive property, this is equal to 6 multiplied by 5 plus 6 multiplied by 2. Hence, option d is an example of the distributive property.
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