Question

1. 12 + 74
2. - 3+5
3. - 113 + 115
4. | - 45|
5. 86 - (-4)
6. | - 5| - | - 4|
7. 30 - | - 45|
8. - 32 - 16

solve the problem & show work. circle your final answer - be careful of signs & operations

Explanation:

Step1: Solve 6) 12 + 74

Add the two numbers.
$12+74 = 86$

Step2: Solve 7) - 3+5

Subtract the smaller - absolute - value number from the larger - absolute - value number and take the sign of the number with the larger absolute value.
$-3 + 5=2$

Step3: Solve 8) - 113+115

Subtract the smaller - absolute - value number from the larger - absolute - value number and take the sign of the number with the larger absolute value.
$-113 + 115 = 2$

Step4: Solve 9) |-45|

The absolute value of a number is its non - negative value.
$|-45|=45$

Step5: Solve 10) 86-(-4)

Subtracting a negative number is the same as adding its positive counterpart.
$86-(-4)=86 + 4=90$

Step6: Solve 11) |-5|-|-4|

First, find the absolute values: $|-5| = 5$ and $|-4| = 4$. Then subtract.
$|-5|-|-4|=5 - 4=1$

Step7: Solve 12) 30-|-45|

First, find the absolute value of - 45: $|-45| = 45$. Then subtract.
$30-|-45|=30 - 45=-15$

Step8: Solve 13) - 32-16

Add the two negative numbers.
$-32-16=-48$

Answer:

1. 86
2. 2
3. 2
4. 45
5. 90
6. 1
7. - 15
8. - 48