Exercise 64 Page 79

According to the order of operations, expressions inside parentheses are evaluated first, followed by exponents, then multiplication and division, and finally addition and subtraction are evaluated last. We can use the acronym PEMDAS to help us remember the correct order! For the given expression, this means evaluating the difference in the parentheses first. 7.5^2( 6.084-5.44)=7.5^2( 0.644)Now we will calculate the exponent. Let's write it as product. 7.5^2(0.644)=( 7.5* 7.5)(0.644) Now to find the product, we multiply just as we do with two whole numbers. At first, we ignore any decimal points.

Then we place the decimal point in the product by counting the number of decimal places in each factor.

We found that the product is 56.25. ( 7.5* 7.5)(0.644)= 56.25(0.644) We can find the other product in a similar way. First, we multiply without decimal points, 5625* 644=3 622 500. Now we will place the decimal point.

We found that the other product is 36.22500, or just 36.225. 56.25(0.644)=36.225 The expression is equal to 36.225.