To solve these problems, we need to remember the basic conversion rule between meters and centimeters:
1 meter (m) = 100 centimeters (cm)
* To change
centimeters to meters, divide by 100.
* To change
meters to centimeters, multiply by 100.
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Part A: Convert between centimeters and meters
1) 300 cm = ? m
Divide 300 by 100.
$300 \div 100 = 3$
Answer:
3 m
2) 11 m = ? cm
Multiply 11 by 100.
$11 \times 100 = 1,100$
Answer:
1,100 cm
3) 52 m = ? cm
Multiply 52 by 100.
$52 \times 100 = 5,200$
Answer:
5,200 cm
4) 4,300 cm = ? m
Divide 4,300 by 100.
$4,300 \div 100 = 43$
Answer:
43 m
5) 9,900 cm = ? m
Divide 9,900 by 100.
$9,900 \div 100 = 99$
Answer:
99 m
6) 27 m = ? cm
Multiply 27 by 100.
$27 \times 100 = 2,700$
Answer:
2,700 cm
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Part B: Complete the unit conversion table
We use the same rules: multiply meters by 100 for cm, or divide cm by 100 for meters.
*
Column 1: Given 200 cm. Convert to meters: $200 \div 100 = 2$.
*
Column 2: Given 10 m. Convert to cm: $10 \times 100 = 1,000$.
*
Column 3: Given 2,100 cm. Convert to meters: $2,100 \div 100 = 21$.
*
Column 4: Given 64 m. Convert to cm: $64 \times 100 = 6,400$.
*
Column 5: Given 7,600 cm. Convert to meters: $7,600 \div 100 = 76$.
*
Column 6: Given 89 m. Convert to cm: $89 \times 100 = 8,900$.
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Part C: Compare using <, >, or =
First, make sure both numbers are in the same unit (usually converting to cm is easier).
1) 25 m vs 2,599 cm
Convert 25 m to cm: $25 \times 100 = 2,500$ cm.
Compare: 2,500 is less than 2,599.
Symbol:
<
2) 5,110 cm vs 51 m
Convert 51 m to cm: $51 \times 100 = 5,100$ cm.
Compare: 5,110 is greater than 5,100.
Symbol:
>
3) 600 cm vs 6 m
Convert 6 m to cm: $6 \times 100 = 600$ cm.
Compare: They are equal.
Symbol:
=
4) 37 m vs 3,619 cm
Convert 37 m to cm: $37 \times 100 = 3,700$ cm.
Compare: 3,700 is greater than 3,619.
Symbol:
>
5) 78 m vs 7,795 cm
Convert 78 m to cm: $78 \times 100 = 7,800$ cm.
Compare: 7,800 is greater than 7,795.
Symbol:
>
6) 1,899 cm vs 19 m
Convert 19 m to cm: $19 \times 100 = 1,900$ cm.
Compare: 1,899 is less than 1,900.
Symbol:
<
7) 4,291 cm vs 43 m
Convert 43 m to cm: $43 \times 100 = 4,300$ cm.
Compare: 4,291 is less than 4,300.
Symbol:
<
8) 82 m vs 8,200 cm
Convert 82 m to cm: $82 \times 100 = 8,200$ cm.
Compare: They are equal.
Symbol:
=
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Part D: Word Problem
"Claire has a 600-centimeter-long vegetable garden. What is the length of the garden in meters?"
To go from centimeters to meters, divide by 100.
$600 \div 100 = 6$
The length is 6 meters.
Final Answer:
A) 1) 3, 2) 1,100, 3) 5,200, 4) 43, 5) 99, 6) 2,700
B) Table filled as follows (top row / bottom row):
- Col 1: 2 / 200
- Col 2: 10 / 1,000
- Col 3: 21 / 2,100
- Col 4: 64 / 6,400
- Col 5: 76 / 7,600
- Col 6: 89 / 8,900
C) 1) <, 2) >, 3) =, 4) >, 5) >, 6) <, 7) <, 8) =
D) 6 meters
Parent Tip: Review the logic above to help your child master the concept of centimeters to meters worksheet.