Real Numbers Worksheet Template Page 3
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1
2
3
4Practice D
Unit 1
Getting
Real Numbers
continued
Ready
EXAMPLE 4
Evaluate ∙−12∙.
There are 12 units between 0 and −12 on the number line, so the absolute value
of −12 is 12.
Solution: ∙−12∙ = 12
When evaluating an expression that involves an absolute value, make sure you
simplify inside the absolute value bars first. Take the absolute value only after
you have simplified the expression inside the bars to a single number.
EXAMPLE 5
Evaluate 2∙−2 ∙ 4 − 3∙ + 8.
Step 1:
Use the order of operations to simplify inside the
2∙−2 ∙ 4 − 3∙ + 8
2∙−8 − 3∙ + 8
absolute value bars first.
2∙−11∙ + 8
2 ∙ 11 + 8
Step 2:
Take the absolute value.
Step 3:
Use the order of operations to simplify.
22 + 8
30
Solution: 2∙−2 ∙ 4 − 3∙ + 8 = 30
tRY tHESE
Name all the ways to classify each number from among the following terms:
real, irrational, rational, whole, natural, integer.
__
2. 1
__
1. −3
3.
6
√
3
Name the additive and multiplicative inverses for each.
4. − 1
6. 8
__
__
5. −2
4
3
Evaluate.
7. ∙−4∙
8. ∙−3(−7) − 8∙
9. −2 + ∙−3(5) + 9∙
D-3
Algebra 2, Unit 1 • Linear Systems and Matrices
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