Grade 7 Metric Conversion Worksheets 2024 - Free Printable

Here are the solutions to the problems on your worksheet.

Part 1: Converting Metric Units

To solve these, remember the rules:
* cm to mm: Multiply by 10 (move decimal right 1 spot).
* m to cm: Multiply by 100 (move decimal right 2 spots).
* km to m: Multiply by 1000 (move decimal right 3 spots).

Calculations:
1) $1.8 \times 10 = 18$
2) $0.2 \times 10 = 2$
3) $13.5 \times 10 = 135$ (Note: $\frac{1}{2}$ is $0.5$)
4) $4.9 \times 10 = 49$
5) $1.6 \times 100 = 160$
6) $2.61 \times 100 = 261$
7) $0.3 \times 100 = 30$
8) $4.07 \times 100 = 407$
9) $1.9 \times 1000 = 1900$
10) $\frac{1}{4}$ km is $0.25$ km. $0.25 \times 1000 = 250$
11) $3.28 \times 1000 = 3280$
12) $5.802 \times 1000 = 5802$

Part 2: Which is the most?

We need to convert everything in a box to the same unit to compare them.

Box 1:
* $1020 \text{ m} = 102,000 \text{ cm}$
* $1.2 \text{ km} = 1200 \text{ m} = \mathbf{120,000 \text{ cm}}$ (Largest)
* $19,000 \text{ cm}$

Box 2:
* $1.5 \text{ m} = 150 \text{ cm}$
* $128 \text{ cm}$
* $1520 \text{ mm} = 152 \text{ cm}$ (Largest)

Box 3:
* $2730 \text{ m} = \mathbf{2,730,000 \text{ cm}}$ (Largest)
* $36,000 \text{ cm}$
* $2.59 \text{ km} = 2590 \text{ m} = 259,000 \text{ cm}$

Box 4:
* $3.8 \text{ m} = 380 \text{ cm}$
* $309 \text{ cm}$
* $3160 \text{ mm} = \mathbf{316 \text{ cm}}$ (Largest)

Part 3: Comparing Amounts (> , < , =)

Convert the units so they match, then compare.

1) $1.5 \text{ m}$ vs $127 \text{ cm}$
($1.5 \text{ m} = 150 \text{ cm}$). Since $150 > 127$, answer is >

2) $1.95 \text{ km}$ vs $1564 \text{ m}$
($1.95 \text{ km} = 1950 \text{ m}$). Since $1950 > 1564$, answer is >

3) $28 \text{ mm}$ vs $2.8 \text{ cm}$
($2.8 \text{ cm} = 28 \text{ mm}$). They are equal. Answer is =

4) $87 \text{ cm}$ vs $0.9 \text{ m}$
($0.9 \text{ m} = 90 \text{ cm}$). Since $87 < 90$, answer is <

5) $1240 \text{ m}$ vs $1.3 \text{ km}$
($1.3 \text{ km} = 1300 \text{ m}$). Since $1240 < 1300$, answer is <

6) $6.3 \text{ cm}$ vs $69 \text{ mm}$
($6.3 \text{ cm} = 63 \text{ mm}$). Since $63 < 69$, answer is <

7) $145 \text{ mm}$ vs $1.8 \text{ cm}$
($1.8 \text{ cm} = 18 \text{ mm}$). Since $145 > 18$, answer is >

8) $2.08 \text{ km}$ vs $2080 \text{ m}$
($2.08 \text{ km} = 2080 \text{ m}$). They are equal. Answer is =

9) $3.4 \text{ m}$ vs $309 \text{ cm}$
($3.4 \text{ m} = 340 \text{ cm}$). Since $340 > 309$, answer is >

10) $529 \text{ cm}$ vs $5.6 \text{ m}$
($5.6 \text{ m} = 560 \text{ cm}$). Since $529 < 560$, answer is <

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Final Answer:

Converting Metric Units:
1) 18
2) 2
3) 135
4) 49
5) 160
6) 261
7) 30
8) 407
9) 1900
10) 250
11) 3280
12) 5802

Which is the most? (Circle these):
* Box 1: 1.2 km
* Box 2: 1520 mm
* Box 3: 2730 m
* Box 4: 3160 mm

Compare the amounts:
1) >
2) >
3) =
4) <
5) <
6) <
7) >
8) =
9) >
10) <