Subtraction of Length interactive worksheet - Free Printable

Problem: Subtraction of Length

The task involves solving subtraction problems involving lengths in meters (m) and centimeters (cm). Let's solve each problem step by step.

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#### (a) \( 638 \, \text{cm} - 49 \, \text{cm} \)

1. Subtract the centimeters directly:
\[
638 \, \text{cm} - 49 \, \text{cm} = 589 \, \text{cm}
\]

Answer:
\[
\boxed{589 \, \text{cm}}
\]

---

#### (b) \( 96 \, \text{m} - 49 \, \text{m} \)

1. Subtract the meters directly:
\[
96 \, \text{m} - 49 \, \text{m} = 47 \, \text{m}
\]

Answer:
\[
\boxed{47 \, \text{m}}
\]

---

#### (c) \( 12 \, \text{m} \, 34 \, \text{cm} - 7 \, \text{m} \, 58 \, \text{cm} \)

1. Subtract the centimeters first:
- Since \( 34 \, \text{cm} < 58 \, \text{cm} \), borrow 1 meter from 12 meters (1 meter = 100 cm):
\[
12 \, \text{m} \, 34 \, \text{cm} = 11 \, \text{m} \, 134 \, \text{cm}
\]
- Now subtract the centimeters:
\[
134 \, \text{cm} - 58 \, \text{cm} = 76 \, \text{cm}
\]

2. Subtract the meters:
- After borrowing, we have \( 11 \, \text{m} \):
\[
11 \, \text{m} - 7 \, \text{m} = 4 \, \text{m}
\]

3. Combine the results:
\[
4 \, \text{m} \, 76 \, \text{cm}
\]

Answer:
\[
\boxed{4 \, \text{m} \, 76 \, \text{cm}}
\]

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#### (d) \( 315 \, \text{m} - 169 \, \text{m} \)

1. Subtract the meters directly:
\[
315 \, \text{m} - 169 \, \text{m} = 146 \, \text{m}
\]

Answer:
\[
\boxed{146 \, \text{m}}
\]

---

#### (e) \( 91 \, \text{cm} - 28 \, \text{cm} \)

1. Subtract the centimeters directly:
\[
91 \, \text{cm} - 28 \, \text{cm} = 63 \, \text{cm}
\]

Answer:
\[
\boxed{63 \, \text{cm}}
\]

---

#### (f) \( 46 \, \text{m} \, 2 \, \text{cm} - 19 \, \text{m} \, 37 \, \text{cm} \)

1. Subtract the centimeters first:
- Since \( 2 \, \text{cm} < 37 \, \text{cm} \), borrow 1 meter from 46 meters (1 meter = 100 cm):
\[
46 \, \text{m} \, 2 \, \text{cm} = 45 \, \text{m} \, 102 \, \text{cm}
\]
- Now subtract the centimeters:
\[
102 \, \text{cm} - 37 \, \text{cm} = 65 \, \text{cm}
\]

2. Subtract the meters:
- After borrowing, we have \( 45 \, \text{m} \):
\[
45 \, \text{m} - 19 \, \text{m} = 26 \, \text{m}
\]

3. Combine the results:
\[
26 \, \text{m} \, 65 \, \text{cm}
\]

Answer:
\[
\boxed{26 \, \text{m} \, 65 \, \text{cm}}
\]

---

#### (g) \( 65 \, \text{m} \, 82 \, \text{cm} - 27 \, \text{m} \, 9 \, \text{cm} - 13 \, \text{m} \, 48 \, \text{cm} \)

1. First subtraction: \( 65 \, \text{m} \, 82 \, \text{cm} - 27 \, \text{m} \, 9 \, \text{cm} \)
- Subtract the centimeters:
\[
82 \, \text{cm} - 9 \, \text{cm} = 73 \, \text{cm}
\]
- Subtract the meters:
\[
65 \, \text{m} - 27 \, \text{m} = 38 \, \text{m}
\]
- Result:
\[
38 \, \text{m} \, 73 \, \text{cm}
\]

2. Second subtraction: \( 38 \, \text{m} \, 73 \, \text{cm} - 13 \, \text{m} \, 48 \, \text{cm} \)
- Subtract the centimeters:
\[
73 \, \text{cm} - 48 \, \text{cm} = 25 \, \text{cm}
\]
- Subtract the meters:
\[
38 \, \text{m} - 13 \, \text{m} = 25 \, \text{m}
\]
- Result:
\[
25 \, \text{m} \, 25 \, \text{cm}
\]

Answer:
\[
\boxed{25 \, \text{m} \, 25 \, \text{cm}}
\]

---

#### (h) \( 89 \, \text{m} \, 30 \, \text{cm} - 12 \, \text{m} \, 62 \, \text{cm} - 479 \, \text{cm} \)

1. Convert all units to centimeters:
- \( 89 \, \text{m} \, 30 \, \text{cm} = 89 \times 100 + 30 = 8930 \, \text{cm} \)
- \( 12 \, \text{m} \, 62 \, \text{cm} = 12 \times 100 + 62 = 1262 \, \text{cm} \)
- \( 479 \, \text{cm} \) remains as is.

2. Perform the subtraction:
- First subtraction:
\[
8930 \, \text{cm} - 1262 \, \text{cm} = 7668 \, \text{cm}
\]
- Second subtraction:
\[
7668 \, \text{cm} - 479 \, \text{cm} = 7189 \, \text{cm}
\]

3. Convert the result back to meters and centimeters:
- \( 7189 \, \text{cm} = 71 \, \text{m} \, 89 \, \text{cm} \)

Answer:
\[
\boxed{71 \, \text{m} \, 89 \, \text{cm}}
\]

---

Final Answers:

\[
\boxed{
\begin{aligned}
&\text{(a)} \, 589 \, \text{cm} \\
&\text{(b)} \, 47 \, \text{m} \\
&\text{(c)} \, 4 \, \text{m} \, 76 \, \text{cm} \\
&\text{(d)} \, 146 \, \text{m} \\
&\text{(e)} \, 63 \, \text{cm} \\
&\text{(f)} \, 26 \, \text{m} \, 65 \, \text{cm} \\
&\text{(g)} \, 25 \, \text{m} \, 25 \, \text{cm} \\
&\text{(h)} \, 71 \, \text{m} \, 89 \, \text{cm}
\end{aligned}
}
\]