Decimals Add and Subtract Rationals Worksheets - Free Printable

Let's solve each problem step by step. The task is to add and subtract rational numbers, including negative integers and decimals (though in this case, all numbers are integers).

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Problem 1:

(-46) - 10

Subtracting a positive number from a negative number makes it more negative.

$$
-46 - 10 = -56
$$

✔ Answer: -56

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Problem 2:

(-25) - 22

Again, subtracting a positive number from a negative number:

$$
-25 - 22 = -47
$$

✔ Answer: -47

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Problem 3:

74 - 64

Simple subtraction:

$$
74 - 64 = 10
$$

✔ Answer: 10

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Problem 4:

53 - (-44)

Subtracting a negative is the same as adding the positive:

$$
53 - (-44) = 53 + 44 = 97
$$

✔ Answer: 97

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Problem 5:

(-92) + (-39)

Adding two negative numbers:

$$
-92 + (-39) = -131
$$

✔ Answer: -131

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Problem 6:

60 - 86

Subtracting a larger number from a smaller one gives a negative result:

$$
60 - 86 = -26
$$

✔ Answer: -26

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Problem 7:

96 + 80

Simple addition:

$$
96 + 80 = 176
$$

✔ Answer: 176

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Problem 8:

26 + 3

$$
26 + 3 = 29
$$

✔ Answer: 29

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Problem 9:

14 + (-39)

Adding a negative is the same as subtracting:

$$
14 + (-39) = 14 - 39 = -25
$$

✔ Answer: -25

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Problem 10:

36 - (-64)

Subtracting a negative is the same as adding:

$$
36 - (-64) = 36 + 64 = 100
$$

✔ Answer: 100

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✔ Final Answers:

1) -56
2) -47
3) 10
4) 97
5) -131
6) -26
7) 176
8) 29
9) -25
10) 100

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🔍 Key Rules Used:

- Subtracting a negative → becomes adding a positive:
$ a - (-b) = a + b $
- Adding two negatives → add absolute values, keep negative sign.
- Adding a positive and a negative → subtract smaller from larger, use sign of larger absolute value.
- Subtracting a positive → move left on number line.

Let me know if you'd like this explained with number lines or visual models!