Subtracting Integers & Rational Numbers Worksheet - Free Printable

Let's solve each problem step by step, showing the addition problem as requested. Remember:
> Subtracting a number is the same as adding its opposite.

So for any expression like $ a - b $, we rewrite it as $ a + (-b) $, then perform the addition.

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1.) $-23 - 45$

Rewrite as:
$-23 + (-45)$

Now add:
$-23 + (-45) = -(23 + 45) = -68$

✔ Answer: $-68$

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2.) $-89 - (-76)$

Subtracting a negative is the same as adding the positive:
$-89 + 76$

Now add:
$-89 + 76 = -(89 - 76) = -13$

✔ Answer: $-13$

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3.) $-14 - 2$

Rewrite as:
$-14 + (-2) = -16$

✔ Answer: $-16$

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4.) $7 - (-46)$

Subtracting a negative becomes addition:
$7 + 46 = 53$

✔ Answer: $53$

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5.) $-76.4 - (-10.02)$

Rewrite:
$-76.4 + 10.02$

Now add:
Think of this as $-(76.4 - 10.02) = -66.38$

Or directly:
$-76.4 + 10.02 = -66.38$

✔ Answer: $-66.38$

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6.) $98 - 102.45$

Rewrite:
$98 + (-102.45) = -4.45$

✔ Answer: $-4.45$

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7.) $-54.12 - 87$

Rewrite:
$-54.12 + (-87) = -(54.12 + 87) = -141.12$

✔ Answer: $-141.12$

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8.) $87.2 - (-7.002)$

Subtracting a negative → add:
$87.2 + 7.002 = 94.202$

✔ Answer: $94.202$

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9.) $\frac{4}{7} - (-\frac{6}{7})$

Subtracting a negative → add:
$\frac{4}{7} + \frac{6}{7} = \frac{10}{7}$

We can write as mixed number: $1\frac{3}{7}$

✔ Answer: $\frac{10}{7}$ or $1\frac{3}{7}$

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10.) $-\frac{10}{11} - \frac{4}{11}$

Same denominator:
$-\frac{10}{11} + (-\frac{4}{11}) = -\frac{14}{11}$

As mixed number: $-1\frac{3}{11}$

✔ Answer: $-\frac{14}{11}$ or $-1\frac{3}{11}$

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1.) $-23 - 45$ | $-68$ |
| 2.) $-89 - (-76)$ | $-13$ |
| 3.) $-14 - 2$ | $-16$ |
| 4.) $7 - (-46)$ | $53$ |
| 5.) $-76.4 - (-10.02)$ | $-66.38$ |
| 6.) $98 - 102.45$ | $-4.45$ |
| 7.) $-54.12 - 87$ | $-141.12$ |
| 8.) $87.2 - (-7.002)$ | $94.202$ |
| 9.) $\frac{4}{7} - (-\frac{6}{7})$ | $\frac{10}{7}$ or $1\frac{3}{7}$ |
| 10.) $-\frac{10}{11} - \frac{4}{11}$ | $-\frac{14}{11}$ or $-1\frac{3}{11}$ |

Let me know if you'd like these explained in more detail!