Question

find each difference.

1. $5 - (-9)$
2. $-6 - 8$
3. $2 - 9$
4. $-10 - (-6)$
5. $3 - (-11)$
6. $12 - 7$
7. $-4 - 11$
8. $0 - (-12)$

measure angles
example
protractor image with angle jkl labeled 70°
place the center point of the protractor on the angle’s vertex.
align one ray with the base of the protractor.
read the angle measure where the other ray intersects the semicircle.

use a protractor to measure each angle.

1. angle with points f, g, h
2. angle with points x, y, z
3. angle with points r, s, t

pre-algebra b
credit 3 lep
page

Explanation:

Step1: Solve \( 5 - (-9) \)

Subtracting a negative is adding the positive: \( 5 + 9 = 14 \)

Step2: Solve \( -6 - 8 \)

Subtract: \( -6 - 8 = -14 \)

Step3: Solve \( 2 - 9 \)

Subtract: \( 2 - 9 = -7 \)

Step4: Solve \( -10 - (-6) \)

Subtracting a negative is adding the positive: \( -10 + 6 = -4 \)

Step5: Solve \( 3 - (-11) \)

Subtracting a negative is adding the positive: \( 3 + 11 = 14 \)

Step6: Solve \( 12 - 7 \)

Subtract: \( 12 - 7 = 5 \)

Step7: Solve \( -4 - 11 \)

Subtract: \( -4 - 11 = -15 \)

Step8: Solve \( 0 - (-12) \)

Subtracting a negative is adding the positive: \( 0 + 12 = 12 \)
(For angle measurement, use a protractor as per the example: align vertex with protractor center, one ray with base, read where the other ray intersects the semicircle. Actual measurements depend on the physical angles, so here we focus on the subtraction problems.)

Answer:

1. \( 14 \)
2. \( -14 \)
3. \( -7 \)
4. \( -4 \)
5. \( 14 \)
6. \( 5 \)
7. \( -15 \)
8. \( 12 \)

(For angles 9 - 11, use a protractor to measure as instructed. Example: If angle at G (∠HGF) is measured, align G with protractor center, GH with base, read GF's intersection. Actual values vary by diagram.)