Grade 3

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Converting Between Centimeters and Meters


In math, especially grade 3 math, you will learn about measuring length using different units. Two common units for measuring length are centimeters (cm) and meters (m). It is important to understand how to convert between these two units because they are often used in both everyday life and in academic settings. Let's look at this concept in more detail.

What are centimeters and meters?

A centimeter is a unit of length in the metric system. It is a very small unit. For example, listen to what "centimeter" sounds like. If you look at a ruler, you will see that each little mark on it represents one centimeter. One hundred centimeters make one meter.

The meter is another metric unit of length. You'll notice that it's larger than the centimeter. For example, when you see long measuring tapes or yardsticks, they typically measure in meters or parts of a meter.

Relation between centimeter and meter

The relationship between centimeters and meters is straightforward. It's important to learn this link so that converting measurements becomes easier:

1 meter = 100 centimeters

Or,

1 m = 100 cm

Once you know this, you will be able to easily go back and forth between the two units.

Converting meters to centimeters

To convert meters to centimeters, you need to multiply by 100. This is because there are 100 centimeters in every meter.

Example: Convert 3 meters to centimeters.

Since we know that 1 meter is 100 centimeters, we can multiply:

3 meters × 100 = 300 centimeters

Hence, 3 meters is equal to 300 centimeters.

0m1m2m3m4m0cm100 cm200cm300cm400cm

Converting centimeters to meters

Now, let's learn how to convert centimeters to meters. To convert centimeters to meters, you need to divide by 100. This is because 100 centimeters make one meter.

Example: Convert 250 centimeters to meters.

As we know that 1 meter is 100 cm, we can divide it as follows:

250 centimeters ÷ 100 = 2.5 meters

Hence 250 cm is equal to 2.5 m.

0cm250cm = 2.5m

Use of conversion in real life

Being able to convert between centimeters and meters is very useful. Think about measuring the height of a door, which could be 2 meters, or the length of a book, which could be 30 centimeters. Converting measurements effortlessly ensures that you can better understand the size of things.

Example: Imagine a room is 4 meters wide and you want to know its width in centimeters. Just multiply:

4 meters × 100 = 400 centimeters

So, the room is 400 centimeters wide.

More examples and exercises

Let's look at some more examples to improve our understanding:

  1. Example 1: Convert 6 meters to centimeters.
  2. 6 meters × 100 = 600 centimeters

    6 meters is 600 centimeters.

  3. Example 2: Convert 950 centimeters to meters.
  4. 950 centimeters ÷ 100 = 9.5 meters

    950 cm = 9.5 m.

  5. Example 3: A pencil is 18 cm long. Convert its length into meters.
  6. 18 centimeters ÷ 100 = 0.18 meters

    The pencil is 0.18 m long.

  7. Example 4: Your garden is 5 meters long. What is the length in centimeters?
  8. 5 meters × 100 = 500 centimeters

    This garden is 500 cm long.

These examples help explain the conversion process clearly. Keep practicing and testing yourself to get better at this skill!

Practice problems

Try solving these problems yourself to test your understanding:

  1. Convert 7 meters to centimeters.
  2. Convert 365 Centimeters to Meters.
  3. A bookshelf is 250 cm high. What is its height in meters?
  4. A swimming pool is 1200 cm long. What is its length in metres?

Answer:

  1. 7 meters × 100 = 700 centimeters
  2. 365 centimeters ÷ 100 = 3.65 meters
  3. 250 centimeters ÷ 100 = 2.5 meters
  4. 1200 centimeters ÷ 100 = 12 meters

Conclusion

Understanding how to convert between centimeters and meters is an essential lesson in grade 3 math. By remembering the simple rule of multiplying by 100 to go from meters to centimeters and dividing by 100 to go vice versa, you can confidently measure and convert between these units. Practice over and over again and soon it will become second nature to you!


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