Question

12. Raul says that 70 · 25 + 70 • 35 is equivalent to 102 • 72. Is Raul correct? Explain how you

determined your answer.

Answer 1

Raul is not correct because 70 · 25 + 70 · 35 equals 4200, which is not equivalent to 102 · 72, which equals 7344. The discrepancy indicates that the expressions are not equivalent, and the correct method to simplify the original expression is using the distributive property.

Step-by-step explanation:

No, Raul is not correct because the associative property of multiplication demonstrates that factors can be regrouped to simplify calculations, but this does not necessarily mean that the original expression and the proposed equivalent are the same. Let's evaluate Raul's claim that 70 · 25 + 70 · 35 is equivalent to 102 · 72.

First, let's simplify the left side of Raul's claim:

• 70 · 25 = 1750
• 70 · 35 = 2450
• Therefore, 1750 + 2450 = 4200

Now, let's simplify the right side of Raul's claim:

• 102 · 72 = 7344

Since 4200 is not equal to 7344, we can conclude that Raul's claim is incorrect. The correct approach to verify the equivalence of expressions would have been to use the distributive property to factor out the common term from the original expression:

• 70 · (25 + 35) = 70 · 60 = 4200

This result is consistent with the first part of our evaluation.

Answer 2

no it is not equivalent, sorry if this isn't right I tried my best

Step-by-step explanation:

70 times 25+70 times 35= 4,200 and 102 times 72= 7,344 therefore they are not equivalent