Numeracy: Converting metric units of length | Worksheet ... - Free Printable

Let's solve this step by step. The task is to convert between metric units of length: kilometres (km), metres (m), centimetres (cm), and millimetres (mm).

We are given conversion facts:
- 1 km = 1000 m
- 1 m = 100 cm
- 1 m = 1000 mm
- So, 1 km = 100,000 cm = 1,000,000 mm

We need to fill in the missing values in the table based on the given values.

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Step-by-step solution:

We'll go row by row and convert using the known conversions.

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#### Row 1:
Given: 0.04 km

Convert to m:
0.04 km × 1000 = 40 m

Convert to cm:
40 m × 100 = 4000 cm

Convert to mm:
40 m × 1000 = 40,000 mm

But wait — the mm column already has 8.3, which contradicts our calculation. That suggests that this row might have two entries, or perhaps the 8.3 mm is not for this row?

Wait — let’s look again.

The table has only one number per row, and we must fill in the blanks. But in row 1, there is a value in km (0.04) and mm (8.3). So both are given? Then we can use them to verify consistency.

But 0.04 km = 40 m = 4000 cm = 40,000 mm, but here mm = 8.3, which is way smaller. So they cannot be in the same row.

Ah! I see — the table has multiple rows, and each row has one value filled, and we must fill the rest.

So let’s assume that each row has one known value, and we must fill in the other three.

Let’s re-express the table with proper rows:

| km | m | cm | mm |
|----|-----|------|-------|
| 0.04 | | | |
| | | | 8.3 |
| | 2.2 | | |
| | | 0.13 | |
| 9.0 | | | |
| | 55 | | |
| 7.5 | | | |
| | | 98 | |
| | 0.6 m | | |
| 8.75 | | | |
| | | | 97,000 |
| | | 3,867 | |

Now, we will process each row individually.

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Row 1: km = 0.04

- 0.04 km = 0.04 × 1000 = 40 m
- 40 m = 40 × 100 = 4000 cm
- 40 m = 40 × 1000 = 40,000 mm

✔ So:
km = 0.04, m = 40, cm = 4000, mm = 40,000

But wait — next row has mm = 8.3, so this row must be separate.

So Row 1:
→ km = 0.04, m = 40, cm = 4000, mm = 40,000

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Row 2: mm = 8.3

- 8.3 mm = 8.3 ÷ 1000 = 0.0083 m
- 0.0083 m = 0.0083 ÷ 1000 = 0.0000083 km
- 8.3 mm = 8.3 ÷ 10 = 0.83 cm

So:
- km = 0.0000083
- m = 0.0083
- cm = 0.83
- mm = 8.3

But maybe we should write it more neatly.

Actually, better to keep significant figures. Since 8.3 has 2 sig figs, we can round appropriately.

But for now, just compute:

→ km = 0.0000083, m = 0.0083, cm = 0.83, mm = 8.3

But this seems very small. Let's keep going.

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Row 3: m = 2.2

- 2.2 m = 2.2 × 1000 = 2200 mm
- 2.2 m = 2.2 × 100 = 220 cm
- 2.2 m = 2.2 ÷ 1000 = 0.0022 km

So:
- km = 0.0022
- m = 2.2
- cm = 220
- mm = 2200

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Row 4: cm = 0.13

- 0.13 cm = 0.13 ÷ 100 = 0.0013 m
- 0.0013 m = 0.0013 ÷ 1000 = 0.0000013 km
- 0.13 cm = 0.13 × 10 = 1.3 mm

So:
- km = 0.0000013
- m = 0.0013
- cm = 0.13
- mm = 1.3

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Row 5: km = 9.0

- 9.0 km = 9.0 × 1000 = 9000 m
- 9000 m = 9000 × 100 = 900,000 cm
- 9000 m = 9000 × 1000 = 9,000,000 mm

So:
- km = 9.0
- m = 9000
- cm = 900,000
- mm = 9,000,000

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Row 6: m = 55

- 55 m = 55 × 1000 = 55,000 mm
- 55 m = 55 × 100 = 5500 cm
- 55 m = 55 ÷ 1000 = 0.055 km

So:
- km = 0.055
- m = 55
- cm = 5500
- mm = 55,000

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Row 7: km = 7.5

- 7.5 km = 7.5 × 1000 = 7500 m
- 7500 m = 7500 × 100 = 750,000 cm
- 7500 m = 7500 × 1000 = 7,500,000 mm

So:
- km = 7.5
- m = 7500
- cm = 750,000
- mm = 7,500,000

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Row 8: cm = 98

- 98 cm = 98 ÷ 100 = 0.98 m
- 0.98 m = 0.98 ÷ 1000 = 0.00098 km
- 98 cm = 98 × 10 = 980 mm

So:
- km = 0.00098
- m = 0.98
- cm = 98
- mm = 980

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Row 9: m = 0.6 m

Note: written as "0.6 m", so it's clear.

- 0.6 m = 0.6 × 1000 = 600 mm
- 0.6 m = 0.6 × 100 = 60 cm
- 0.6 m = 0.6 ÷ 1000 = 0.0006 km

So:
- km = 0.0006
- m = 0.6
- cm = 60
- mm = 600

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Row 10: km = 8.75

- 8.75 km = 8.75 × 1000 = 8750 m
- 8750 m = 8750 × 100 = 875,000 cm
- 8750 m = 8750 × 1000 = 8,750,000 mm

So:
- km = 8.75
- m = 8750
- cm = 875,000
- mm = 8,750,000

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Row 11: mm = 97,000

- 97,000 mm = 97,000 ÷ 1000 = 97 m
- 97 m = 97 ÷ 1000 = 0.097 km
- 97 m = 97 × 100 = 9700 cm

So:
- km = 0.097
- m = 97
- cm = 9700
- mm = 97,000

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Row 12: cm = 3,867

- 3,867 cm = 3,867 ÷ 100 = 38.67 m
- 38.67 m = 38.67 ÷ 1000 = 0.03867 km
- 3,867 cm = 3,867 × 10 = 38,670 mm

So:
- km = 0.03867
- m = 38.67
- cm = 3,867
- mm = 38,670

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Final Table:

Let’s compile all rows:

| km | m | cm | mm |
|-----------|---------|----------|------------|
| 0.04 | 40 | 4000 | 40,000 |
| 0.0000083 | 0.0083 | 0.83 | 8.3 |
| 0.0022 | 2.2 | 220 | 2200 |
| 0.0000013 | 0.0013 | 0.13 | 1.3 |
| 9.0 | 9000 | 900,000 | 9,000,000 |
| 0.055 | 55 | 5500 | 55,000 |
| 7.5 | 7500 | 750,000 | 7,500,000 |
| 0.00098 | 0.98 | 98 | 980 |
| 0.0006 | 0.6 | 60 | 600 |
| 8.75 | 8750 | 875,000 | 8,750,000 |
| 0.097 | 97 | 9700 | 97,000 |
| 0.03867 | 38.67 | 3,867 | 38,670 |

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Notes:

- In Row 1, we assumed 0.04 km is the only input.
- In Row 2, 8.3 mm is given.
- All conversions follow standard metric prefixes.

This completes the table.

✔ Answer: Fill in the table using the above values.

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