Convert 1382 Decimeters to Meters: Metric Unit Transformation

Q: How do I remember which way to move the decimal?

Think of the metric ladder! When going from smaller units (dm) to larger units (m), you divide, so the decimal moves left. Going the other way moves it right.

Q: Why is 1 decimeter equal to 0.1 meters?

The prefix "deci-" means one-tenth (1/10). So 1 decimeter = 1/10 of a meter = $ \frac{1}{10} $ = 0.1 meters!

Q: Can I just divide by 10 instead of multiplying by 0.1?

Yes! Dividing by 10 gives the same result as multiplying by 0.1. Both methods work: $ 1382 ÷ 10 = 138.2 $

Q: What if I get confused about the conversion factor?

Remember: there are 10 decimeters in 1 meter. So to convert decimeters to meters, you need fewer meters than decimeters. That's why you divide!

Q: How can I check if my answer makes sense?

Ask yourself: "Should meters be bigger or smaller than decimeters?" Since meters are larger units, you should have fewer of them. 138.2 m

Metric Conversions with Decimal Movement

$1382dm=?m$

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Understand the problem

$1382dm=?m$

Step-by-step solution

To solve this problem, we need to convert 1382 decimeters into meters. We'll use the conversion factor that 1 decimeter is equal to 0.1 meters.

Follow these steps to find the solution:

Step 1: Identify the conversion factor: 1 dm = 0.1 m.
Step 2: Multiply the length in decimeters by the conversion factor to convert to meters.

Let's perform the calculation:
$1382 \, \text{dm} \times 0.1 \, \text{m/dm} = 138.2 \, \text{m}$

Therefore, the equivalent length in meters is $138.2 \, \text{m}$ .

Looking at the answer choices provided, the correct option is choice 2: $138.2$ .

Thus, the solution to the problem is $138.2 \, \text{m}$ .

Final Answer

$138.2$

Key Points to Remember

Essential concepts to master this topic

Rule: 1 decimeter equals 0.1 meters in metric system
Technique: Multiply by 0.1: $1382 \times 0.1 = 138.2$
Check: Count decimal places: dm to m moves 1 place left ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point the wrong direction
Don't move decimal right when converting dm to m = 13,820 m! This makes the answer 100 times too big because you're going backwards in the metric system. Always remember: dm to m means dividing by 10, so move decimal LEFT one place.

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 which way to move the decimal?

Think of the metric ladder! When going from smaller units (dm) to larger units (m), you divide, so the decimal moves left. Going the other way moves it right.

Why is 1 decimeter equal to 0.1 meters?

The prefix "deci-" means one-tenth (1/10). So 1 decimeter = 1/10 of a meter = $\frac{1}{10}$ = 0.1 meters!

Can I just divide by 10 instead of multiplying by 0.1?

Yes! Dividing by 10 gives the same result as multiplying by 0.1. Both methods work: $1382 ÷ 10 = 138.2$

What if I get confused about the conversion factor?

Remember: there are 10 decimeters in 1 meter. So to convert decimeters to meters, you need fewer meters than decimeters. That's why you divide!

How can I check if my answer makes sense?

Ask yourself: "Should meters be bigger or smaller than decimeters?" Since meters are larger units, you should have fewer of them. 138.2 m < 1382 dm makes sense! ✓

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