Q:

How does the expression 7 x (6+5) compare to the expression 6+5? Explain how you know.

Accepted Solution

A:
STEP-BY-STEP EXPLANATION:

The expression 7 x (6+5) is different from the expression 6+5.

In the expression 7 x (6+5), the operation inside the parentheses is performed first due to the order of operations, often remembered by the acronym PEMDAS which stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

So, (6+5) equals 11, and then you multiply 11 by 7, which equals 77.

On the other hand, the expression 6+5 simply adds 6 and 5 together to get 11.

So, while both expressions involve the numbers 6, 5, and 7, they use these numbers in different ways and result in different values.

The expression 7 x (6+5) equals 77, while the expression 6+5 equals 11.