Here are the solutions to the problems on the worksheet.
Part 1: Converting Metric Units
To solve these, remember the basic rules:
*
kilo (k) means 1,000 (so multiply by 1,000 to go from kg/km/kL to g/m/mL).
*
centi (c) means 1/100 (so there are 100 cm in a meter).
*
milli (m) means 1/1,000 (so there are 10 mm in a cm, and 1,000 mL in a L).
1) $1 \text{ kg} = \mathbf{1,000} \text{ g}$
2) $2 \text{ kg} = \mathbf{2,000} \text{ g}$
3) $1 \text{ cm} = \mathbf{10} \text{ mm}$
4) $2 \text{ cm} = \mathbf{20} \text{ mm}$
5) $1 \text{ km} = \mathbf{1,000} \text{ m}$
6) $2 \text{ km} = \mathbf{2,000} \text{ m}$
7) $1 \text{ L} = \mathbf{1,000} \text{ mL}$
8) $2 \text{ L} = \mathbf{2,000} \text{ mL}$
9) $1 \text{ m} = \mathbf{100} \text{ cm}$
10) $2 \text{ m} = \mathbf{200} \text{ cm}$
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Part 2: Which is the most?
We need to convert the numbers so they have the same unit to compare them easily.
Box 1 (Weight):
* 1 kg = 1,000 g
* 300 g
* 950 g
* *Comparison:* 1,000 is bigger than 950 and 300.
*
Answer: 1 kg
Box 2 (Length):
* 1 m = 100 cm
* 80 cm
* 120 mm = 12 cm
* *Comparison:* 100 cm is bigger than 80 cm and 12 cm.
*
Answer: 1 m
Box 3 (Volume):
* 1 L = 1,000 mL
* 1,250 mL
* 980 mL
* *Comparison:* 1,250 is bigger than 1,000 and 980.
*
Answer: 1,250 mL
Box 4 (Length):
* 560 m
* 2,000 cm = 20 m (divide by 100)
* 1 km = 1,000 m
* *Comparison:* 1,000 m is bigger than 560 m and 20 m.
*
Answer: 1 km
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Part 3: Compare the amounts (<, >, or =)
1)
1 L vs 590 mL: 1 L is 1,000 mL. Since 1,000 > 590...
Answer:
>
2)
1 m vs 75 cm: 1 m is 100 cm. Since 100 > 75...
Answer:
>
3)
20 mm vs 2 cm: 2 cm is 20 mm. They are equal.
Answer:
=
4)
1 km vs 250 m: 1 km is 1,000 m. Since 1,000 > 250...
Answer:
>
5)
250 cm vs 2 m: 2 m is 200 cm. Since 250 > 200...
Answer:
>
6)
50 mm vs 7 cm: 7 cm is 70 mm. Since 50 < 70...
Answer:
<
7)
1,200 g vs 1 kg: 1 kg is 1,000 g. Since 1,200 > 1,000...
Answer:
>
8)
4 m vs 350 cm: 4 m is 400 cm. Since 400 > 350...
Answer:
>
9)
200 mL vs 2 L: 2 L is 2,000 mL. Since 200 < 2,000...
Answer:
<
10)
300 cm vs 3 m: 3 m is 300 cm. They are equal.
Answer:
=
11)
970 m vs 1 km: 1 km is 1,000 m. Since 970 < 1,000...
Answer:
<
12)
4 kg vs 500 g: 4 kg is 4,000 g. Since 4,000 > 500...
Answer:
>
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Final Answer:
Part 1: Fill in the blanks
1) 1,000
2) 2,000
3) 10
4) 20
5) 1,000
6) 2,000
7) 1,000
8) 2,000
9) 100
10) 200
Part 2: Circle the largest amount
* Box 1:
1 kg
* Box 2:
1 m
* Box 3:
1,250 mL
* Box 4:
1 km
Part 3: Comparison Signs
1) >
2) >
3) =
4) >
5) >
6) <
7) >
8) >
9) <
10) =
11) <
12) >
Parent Tip: Review the logic above to help your child master the concept of converting units of measure worksheet.
