Question

Directions: Simplify the following expressions. Refer to the rules for signed numbers in solving these problems.

Example: - 4 + 5 = +1 (the signs are different, take the difference (subtract) and place the sign of the larger number)

1. + 6 - (+3) =

2. + 10 + (-10) =

3. - 3 + (-3 ) =

4. + 24 - 21 =

5. - 48 - (-44) =

6. -12 - (-4 ) + 3 =

7. + 16 -(-15) =

8. - 35 - (-36) =

9. -6 * 10 =

10. -10 * -10 =

11. + 7 * - 7 =

12. -4 / -4 =

13. -6 * - 5 =

14. -10 * + 7 =

15. -4 * - 7 =

Answer 1

Arithmetic operations are being used in the simplification of mathematical expressions between numbers. Arithmetic operations perform addition, subtraction, multiplication, and division. When simplifying two or more numbers, there are some set rules and guidelines to follow:

• + × + = +
• + × - = -
• - ÷ - = +
• - ÷ + = -

Arithmetic Operations:

Now, we will use the following set of rules to solve the given expressions in the question.

1.

• + 6 - ( +3)
• = + 6 - 3
• = + 3

2.

• + 10 + ( - 10)
• = + 10 - 10
• = 0

3.

• -3 + ( -3)
• = -3 - 3
• = - 6

4.

• + 24 - 21
• = +3

5.

• -48 - ( -44)
• = -48 + 44
• = -4

6.

• -12 - ( -4) + 3
• = -12 +4 + 3
• = -5

7.

• +16 -(-15)
• = +16 + 15
• = +31

8.

• -35 -(-36)
• = -35 + 36
• =   -1

9.

• - 6 × 10 = -60

10.

• -10 × -10 = +100

11.

• +7 × -7 = -49

12.

• -4 / -4 = +1

13.

• -6 × -5 = +30

14.

• -10 × +7 = -70

15.

• -4 × -7 = +28

Learn more about arithmetic operations here:

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