Inverse Operations - Worksheet | Maths Year 5 - Free Printable

Let's solve each problem step by step:

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1) Complete the number fact family.

Given:
\[ 157 + 441 = 598 \]

The number fact family involves addition and subtraction relationships:
- \( 157 + 441 = 598 \)
- \( 441 + 157 = 598 \)
- \( 598 - 157 = 441 \)
- \( 598 - 441 = 157 \)

So, the completed number fact family is:
\[
\boxed{441 + 157 = 598, \quad 598 - 157 = 441, \quad 598 - 441 = 157}
\]

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2) Use the inverse to check the calculation below.

Given:
\[ 2,853 + 309 = 3,162 \]

To check this using the inverse operation (subtraction):
\[ 3,162 - 309 = ? \]

Perform the subtraction:
\[
\begin{array}{r}
3162 \\
-309 \\
\hline
3162 - 309 = 2853
\end{array}
\]

Since \( 3,162 - 309 = 2,853 \), the original addition is correct.

So, the answer is:
\[
\boxed{2853}
\]

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3) Circle the addition calculation that is the inverse of this subtraction:

Given:
\[ 6,432 - 1,821 = 4,611 \]

The inverse operation of subtraction is addition. To find the inverse, we add the subtrahend (1,821) and the difference (4,611) to get the minuend (6,432):
\[ 1,821 + 4,611 = 6,432 \]

So, the correct addition calculation is:
\[
\boxed{1,821 + 4,611}
\]

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4) Use the inverse operation to find the missing number.

Given:
\[ \text{______} + 4,612 = 8,951 \]

To find the missing number, use the inverse operation (subtraction):
\[ 8,951 - 4,612 = ? \]

Perform the subtraction:
\[
\begin{array}{r}
8951 \\
-4612 \\
\hline
8951 - 4612 = 4339
\end{array}
\]

So, the missing number is:
\[
\boxed{4339}
\]

---

5) Complete the calculation below and use the inverse to check your answer.

Given:
\[ 11431 + 5421 = ? \]

First, perform the addition:
\[
\begin{array}{r}
11431 \\
+5421 \\
\hline
11431 + 5421 = 16852
\end{array}
\]

Now, use the inverse operation (subtraction) to check:
\[ 16852 - 5421 = ? \]

Perform the subtraction:
\[
\begin{array}{r}
16852 \\
-5421 \\
\hline
16852 - 5421 = 11431
\end{array}
\]

Since the subtraction confirms the addition, the answer is:
\[
\boxed{16852}
\]

---

6) Use the inverse to find the missing number in the bar model.

Given:
\[ 852 - ? = 391 \]

To find the missing number, use the inverse operation (addition):
\[ 391 + ? = 852 \]

Solve for the missing number:
\[
\begin{array}{r}
852 \\
-391 \\
\hline
852 - 391 = 461
\end{array}
\]

So, the missing number is:
\[
\boxed{461}
\]

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7) Bella says: "I'm thinking of a number. When I subtract 687 from it, I get 4,665." What number is Bella thinking of?

Given:
\[ \text{Number} - 687 = 4,665 \]

To find the number, use the inverse operation (addition):
\[ \text{Number} = 4,665 + 687 \]

Perform the addition:
\[
\begin{array}{r}
4665 \\
+687 \\
\hline
4665 + 687 = 5352
\end{array}
\]

So, the number Bella is thinking of is:
\[
\boxed{5352}
\]

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8) Jamal and Kody are playing a game. Jamal has won 3,932 points. Together they have won 7,576 points. How many points has Kody won?

Given:
\[ \text{Jamal's points} + \text{Kody's points} = 7,576 \]
\[ \text{Jamal's points} = 3,932 \]

To find Kody's points, use the inverse operation (subtraction):
\[ \text{Kody's points} = 7,576 - 3,932 \]

Perform the subtraction:
\[
\begin{array}{r}
7576 \\
-3932 \\
\hline
7576 - 3932 = 3644
\end{array}
\]

So, Kody has won:
\[
\boxed{3644}
\]

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Final Answers:

1. \( 441 + 157 = 598, \quad 598 - 157 = 441, \quad 598 - 441 = 157 \)
2. \( 2853 \)
3. \( 1,821 + 4,611 \)
4. \( 4339 \)
5. \( 16852 \)
6. \( 461 \)
7. \( 5352 \)
8. \( 3644 \)

\[
\boxed{441 + 157 = 598, \quad 598 - 157 = 441, \quad 598 - 441 = 157, \quad 2853, \quad 1,821 + 4,611, \quad 4339, \quad 16852, \quad 461, \quad 5352, \quad 3644}
\]