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Exercises Expressions, exponents and radicals

Example 7.14 from Prealgebra, 7.2 Commutative and Associative Properties

Commutative and Associative Properties: example 7.14

Simplify the expression: $[1.67 (8)] (0.25) .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
Notice that multiplying $(8) (0.25)$ is easier than multiplying $1.67 (8)$ because it gives a whole number. (Think about having $8$ quarters—that makes $$2.)$

$[1.67 (8)] (0.25)$

Regroup. $1.67 [(8) (0.25)]$

Multiply in the brackets first. $1.67 [2]$

Multiply. $3.34$

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Simplify: $[1.17 (4)] (2.25) .$

How did it go?

PreviousCommutative and Associative Properties: example 7.13 Next Commutative and Associative Properties: example 7.15

From Prealgebra (1st edition) by OpenStax (Rice University), section 7.2, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.