Question

Simplify the expressions (with work please)

1. 4 - (-3)
2. 1/6 + 7/12
3. 0.24 - 1.6
4. 2 3/5 x (-4/3)
5. -24 divided by 3.2

Answer 1

1. 7

2. 0.75

3. -1.36

4. -52/15

5. -7.5

Explanation:

1. 4 - ( -3 ) = 4 + 3 = 7

2. 0.166 + 0.583 = 0.749 (round to the nearest hundredth) 0.75

3. 0.24 - 1.6 = 0.24 + -1.6 = -1.36

4. 13/5 * (-4/3) (easiest to multiply as not mixed fractions) = -52.15

-24 / 3.2 (think about -24 / 3 = -7 and -24 / 0.2 = -0.5 (-7 + -0.5)) = -7.5

I hope this helps lots! ^^

Answer 2

Read below. Answers are bolded for you.

Explanation:

1. 4-(-3)=4+3=7 (a negative and a negative is a positive)

2. 1/6 + 7/12=
`(2)/(12) +(7)/(12) =(9)/(12) =(3)/(4)` or 3/4

3. 0.24 - 1.6= -1.36

4. 2 3/5 x (-4/3)=
`2 (3)/(5) * -(4)/(3) =(13)/(5) *-(4)/(3) =-(52)/(15) =-3(7)/(15)` or -3 7/15

5. -24÷3.2=-7.5