Integers
Fractions
Mixed Numbers
Decimals
Use It
100

5 + -2

3

100

5/16  +  (-7/16)

5/16  +  (-7/16)
-2/16

-1/8

100

-7/2  +  3 2/3

-7/2  +  3 2/3
-7/2  +  11/3
-21/6 + 22/6

1/6

100

5.6 + (-1.3) 

4.3

100

The temperature is -12.6 degrees Celsius. The temperature goes up 7.9 degrees. What is the new temperature?

-4.7 degrees Celsius

200

-4 + (-3)

-7

200

3/5  +  (-4/15)

3/5  +  (-4/15)
9/15 + (-4/15)
5/15

1/3

200

5 1/3 + -5/9

4 7/9

200

-8.2 + 5.4

-2.8

200

You finish 3/8 of the project. Your friend finishes 1/4 of the project. What fraction of the project is finished?

3/8 + 1/4
3/8 + 2/8
5/8 of the project is finished 

300

12 + (-18)

-6

300

2/3  +  (-1/6) 

2/3  +  (-1/6)
4/6  + (-1/6)
3/6

1/2

300

3/12 + (-1) + 7/12

-1/6

300

7.15 + (-12.76)

-5.61

300

You are digging for dinosaur bones. You dig 4.5 meters underground, but realize that you need to dig a total of 6.42 meters underground.  What is the distance between your original hole and how far down the dinosaur bones are?

1.92 meters

400

15 + -16

-1

400

1/7  +  (-3/4)

1/7  +  (-3/4)
4/28 + (-21/28)

-17/28

400

-4 1/5 + 3 2/3 + -1 2/5

-1 14/15

400

[4.9 + (-3.5)] + (-0.5)

[4.9 + (-3.5)] + (-0.5)
1.4 + (-0.5)

0.9

400

Is this always, sometimes, or never true?

When adding two negative rational numbers, the sum will be negative

Always

500

-4 + (-24) + 6

-22

500

-3/4  +  (-3/8)

-3/4  +  (-3/8)
-6/8  +  (-3/8)

-9/8  or -1 1/8

500

5 + (-2 1/3) + (-3 1/6)

5 + (-2 1/3) + (-3 1/6)
5/1 + -7/3 + -19/6
30/6 + -14/6 + -19/6
16/6 + -19/6
-3/6
-1/2

500

-12.4 + 19.1 + (-4.3)

2.4

500

Is this always, sometimes, or never true?

When adding two rational numbers with different signs, the sum will be negative. 

Sometimes