Let's solve each problem step by step. These are all
addition and subtraction of rational numbers (decimals and integers). We'll apply the rules for adding and subtracting positive and negative numbers.
---
Rules to Remember:
- Adding two numbers with the same sign: add their absolute values, keep the sign.
- Adding two numbers with different signs: subtract the smaller absolute value from the larger, use the sign of the number with the larger absolute value.
- Subtracting a number is the same as adding its opposite:
$ a - b = a + (-b) $
---
Now, let’s solve each one:
---
1) $ 2 - (-73) $
Subtracting a negative is like adding:
$ 2 + 73 = \boxed{75} $
---
2) $ 39 + (-20.4) $
Adding a negative is like subtracting:
$ 39 - 20.4 = \boxed{18.6} $
---
3) $ 67.086 - (-20) $
Subtracting a negative:
$ 67.086 + 20 = \boxed{87.086} $
---
4) $ 60 + (-19) $
$ 60 - 19 = \boxed{41} $
---
5) $ 87 - 64.05 $
$ 87 - 64.05 = \boxed{22.95} $
---
6) $ 93 - (-31) $
$ 93 + 31 = \boxed{124} $
---
7) $ 2 + 17.02 $
$ 2 + 17.02 = \boxed{19.02} $
---
8) $ 3.008 + (-46) $
$ 3.008 - 46 = \boxed{-42.992} $
---
9) $ 85.082 + 48.11 $
Add decimals:
$ 85.082 + 48.11 = 85.082 + 48.110 = \boxed{133.192} $
---
10) $ 56.95 + 40 $
$ 56.95 + 40 = \boxed{96.95} $
---
11) $ 66 - 86.005 $
$ 66 - 86.005 = -20.005 $ → $ \boxed{-20.005} $
---
12) $ 20 - (-4.09) $
$ 20 + 4.09 = \boxed{24.09} $
---
13) $ 68 - 55 $
$ 68 - 55 = \boxed{13} $
---
14) $ 17 - (-58.12) $
$ 17 + 58.12 = \boxed{75.12} $
---
15) $ 17.001 + 78 $
$ 17.001 + 78 = \boxed{95.001} $
---
16) $ 32 + (-72.1) $
$ 32 - 72.1 = \boxed{-40.1} $
---
17) $ 36.289 + (-83.73) $
$ 36.289 - 83.73 = -47.441 $ → $ \boxed{-47.441} $
---
18) $ 12.006 - (-49.29) $
$ 12.006 + 49.29 = 61.296 $ → $ \boxed{61.296} $
---
19) $ 51.8 + (-92.004) $
$ 51.8 - 92.004 = -40.204 $ → $ \boxed{-40.204} $
---
20) $ 59.22 - 33.82 $
$ 59.22 - 33.82 = \boxed{25.4} $
---
✔ Final Answers:
| Problem | Answer |
|--------|---------------|
| 1 | 75 |
| 2 | 18.6 |
| 3 | 87.086 |
| 4 | 41 |
| 5 | 22.95 |
| 6 | 124 |
| 7 | 19.02 |
| 8 | -42.992 |
| 9 | 133.192 |
| 10 | 96.95 |
| 11 | -20.005 |
| 12 | 24.09 |
| 13 | 13 |
| 14 | 75.12 |
| 15 | 95.001 |
| 16 | -40.1 |
| 17 | -47.441 |
| 18 | 61.296 |
| 19 | -40.204 |
| 20 | 25.4 |
---
Let me know if you'd like this in a printable format or need help understanding any specific problem!
Parent Tip: Review the logic above to help your child master the concept of subtracting rational numbers worksheet.
