SavannahNico123
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Aiden says that equivalent expressions always have the same number of terms. Is Aiden correct? If he is, explain why. If he is not correct, give a counterexample.

Respuesta :

helenarow3
No. Because for example

4+5 is 9, which has 2 terms (4,5)
BUT
3+5+1 also equals 9, which has 3 terms (3,5,1)

Both equations are equivalent to eachother, but do not have the same amount of terms. This also goes for multiplication.

10x10 is 100, which has 2 terms

BUT

5x10x2 is also 100, which has 3 terms, therefor the answer does not determine the amount of terms in an equation.

The opinion of Aiden about equivalent expressions always having the same number of terms is; Not correct

Mathematical Operations

Aiden is not correct with his assertion as we will see for four major operations.

  • 1) Addition; 2 + 6 = 8 and also 1 + 3 + 4 = 8.

We can see that in both cases the expressions have equivalent answers but the number of terms are not the same.

  • 2) In multiplication; 2 × 6 = 12 and also 1 × 3 × 4 = 12. We can see that in both cases the expressions have equivalent answers but the number of terms are not the same.

Same scenario also applies for division and subtraction. Thus, we can say that Aiden is not correct.

Read more about mathematical operations at; https://brainly.com/question/13641997