Convert 7m to Centimeters: Metric Unit Conversion Problem

Q: How do I remember whether to multiply or divide?

Think logically! When converting to smaller units (like meters to centimeters), you need more of them, so multiply. When converting to larger units, you need fewer, so divide.

Q: What if I forget the conversion factor?

Remember the metric system is based on powers of 10. Centi means hundredth, so there are 100 centimeters in 1 meter. You can also visualize: a meter stick has 100 cm marks!

Q: Why is 0.7 cm wrong when 7 ÷ 100 = 0.07?

Because 0.7 cm would be less than 1 centimeter, but we started with 7 whole meters! That doesn't make sense. You divided when you should have multiplied.

Q: How can I check my answer makes sense?

Ask yourself: Should the number get bigger or smaller? Since centimeters are smaller units, you need more of them to equal the same length. So 700 cm > 7 m makes sense!

Q: What other metric conversions work the same way?

All metric length conversions use the same pattern! Kilometers to meters (×1000), meters to millimeters (×1000), centimeters to millimeters (×10). Always multiply when going to smaller units.

Metric Conversion with Multiplication Factors

$7m=?cm$

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Understand the problem

$7m=?cm$

Step-by-step solution

To solve this problem, we need to apply the following step:

Convert the given length from meters to centimeters using the conversion factor.

Let's work through this:

The conversion factor between meters and centimeters is $1\text{ m} = 100\text{ cm}$ . Therefore, to convert $7$ meters to centimeters, we multiply by this factor:

$7 \text{ m} \times 100 \text{ cm/m} = 700 \text{ cm}$

Thus, the length of $7$ meters is equivalent to $700$ centimeters.

The correct choice that matches this result is choice $2$ .

Final Answer

$700$

Key Points to Remember

Essential concepts to master this topic

Rule: 1 meter equals exactly 100 centimeters in metric system
Technique: Multiply by 100: $7 \text{ m} \times 100 = 700 \text{ cm}$
Check: Convert back: $700 \text{ cm} \div 100 = 7 \text{ m}$ ✓

Common Mistakes

Avoid these frequent errors

Dividing instead of multiplying when converting to smaller units
Don't divide 7 by 100 to get 0.07 cm! This gives a result smaller than the original, which makes no sense since centimeters are smaller units. Always multiply when converting from larger units (meters) to smaller units (centimeters).

Practice Quiz

Test your knowledge with interactive questions

$$ 291cm^2=?m^2 $$

FAQ

Everything you need to know about this question

How do I remember whether to multiply or divide?

Think logically! When converting to smaller units (like meters to centimeters), you need more of them, so multiply. When converting to larger units, you need fewer, so divide.

What if I forget the conversion factor?

Remember the metric system is based on powers of 10. Centi means hundredth, so there are 100 centimeters in 1 meter. You can also visualize: a meter stick has 100 cm marks!

Why is 0.7 cm wrong when 7 ÷ 100 = 0.07?

Because 0.7 cm would be less than 1 centimeter, but we started with 7 whole meters! That doesn't make sense. You divided when you should have multiplied.

How can I check my answer makes sense?

Ask yourself: Should the number get bigger or smaller? Since centimeters are smaller units, you need more of them to equal the same length. So 700 cm > 7 m makes sense!

What other metric conversions work the same way?

All metric length conversions use the same pattern! Kilometers to meters (×1000), meters to millimeters (×1000), centimeters to millimeters (×10). Always multiply when going to smaller units.

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