Introduction to Integers: example 3.11

Simplify: $24 - | 19 - 3 (6 - 2) | .$

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.

Your turn

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

Simplify: $19 - | 11 - 4 (3 - 1) |$

How did it go?

	$24 - \| 19 - 3 (6 - 2) \|$
Simplify in the parentheses first.	$24 - \| 19 - 3 (4) \|$
Multiply $3 (4)$ .	$24 - \| 19 - 12 \|$
Subtract inside the absolute value sign.	$24 - \| 7 \|$
Take the absolute value.	$24 - 7$
Subtract.	$17$

	$24 - \| 19 - 3 (6 - 2) \|$
Simplify in the parentheses first.	$24 - \| 19 - 3 (4) \|$
Multiply $3 (4)$ .	$24 - \| 19 - 12 \|$
Subtract inside the absolute value sign.	$24 - \| 7 \|$
Take the absolute value.	$24 - 7$
Subtract.	$17$