Exercise 65 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 expression inside the square brackets completely before adding the product. 0.629[ 81÷(10* 2.7)]

Notice also that even within this parenthetical expression, we must follow the order of operations. 81÷(10* 2.7) Let's do it!

Operation	Before Simplification	After Simplification
Calculate product	0.629[ 81÷( 10* 2.7)]	0.629[ 81÷ 27]
Calculate Quotient	0.629[ 81÷27]	0.629[ 3]

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 expression is equal to 1.887.