Length Units Practice Problems with Solutions

Master length unit conversions with step-by-step practice problems. Convert between millimeters, centimeters, meters, and kilometers easily.

📚What You'll Practice in Length Units
  • Convert meters to centimeters using multiplication by 100
  • Transform kilometers to meters by multiplying by 1000
  • Change millimeters to centimeters by dividing by 10
  • Solve multi-step conversions from kilometers to centimeters
  • Apply length unit conversions to real-world measurement problems
  • Master the metric system relationships between length units

Understanding Length Units

Complete explanation with examples

Units of length allow us to quantify length, height and distance.

Units of length to know.

A centimeter is equivalent to 10 10 millimeters.

A meter is equivalent to 100 100 centimeters.

One kilometer is equal to 1000 1000 meters.

A1 - Length units

Detailed explanation

Practice Length Units

Test your knowledge with 9 quizzes

Order from smallest to largest:

\( 0.03 \) m, \( 5 \) cm, \( 25 \) mm, \( 0.001 \) dm

Examples with solutions for Length Units

Step-by-step solutions included
Exercise #1

Which of the following values equals:
5000 5000 cm

Step-by-Step Solution

To solve the problem, let's follow these steps:

  • Step 1: Convert centimeters to meters.
  • Step 2: Identify the correct answer from the given choices.

Now, let's work through each step:

Step 1: We know that 1 meter=100 cm1 \text{ meter} = 100 \text{ cm}. Therefore, to convert 50005000 cm to meters, we divide 50005000 by 100100:

5000100=50 \frac{5000}{100} = 50 meters.

Step 2: Among the given choices, we are looking for 5050 meters, which matches Choice 4\text{Choice 4}.

Therefore, the solution to the problem is 50 50 m.

Answer:

50 50 m

Exercise #2

Convert to cm:
0.6 0.6 meters

Step-by-Step Solution

To solve the problem of converting meters to centimeters, we apply the following steps:

  • Step 1: Identify the given value, which is 0.6 meters.
  • Step 2: Use the conversion factor between meters and centimeters. There are 100 centimeters in one meter, so the formula is centimeters=meters×100 \text{centimeters} = \text{meters} \times 100 .
  • Step 3: Multiply 0.6 meters by 100 to convert it to centimeters.

Let's carry out the calculation:
0.6 meters ×\times 100 = 60 centimeters.

Therefore, the conversion of 0.6 meters to centimeters is 60 60 centimeters.

Answer:

60 60

Exercise #3

Convert to meters:
40 40 cm

Step-by-Step Solution

To solve this problem, let's convert the measurement from centimeters to meters by following these steps:

  • Identify the given measurement: 40 40 cm.
  • Recall the conversion factor: 1 1 meter = 100 100 centimeters.
  • Apply the conversion factor to convert 40 40 cm into meters by dividing by 100 100 :
    40100=0.4\frac{40}{100} = 0.4 meters.

This calculation shows that 40 40 cm is equivalent to 0.4 0.4 meters.

Therefore, the solution to the problem is 0.4 0.4 .

Answer:

0.4 0.4

Exercise #4

Order from smallest to largest:

55 55 mm, 0.5 0.5 cm, 0.007 0.007 m, 0.09 0.09 dm

Step-by-Step Solution

Let's begin by converting each measurement to millimeters:

  • 55 55 mm is already in millimeters, so it stays at 55 55 mm.
  • 0.5 0.5 cm = 0.5×10 0.5 \times 10 mm = 5 5 mm.
  • 0.007 0.007 m = 0.007×1000 0.007 \times 1000 mm = 7 7 mm.
  • 0.09 0.09 dm = 0.09×100 0.09 \times 100 mm = 9 9 mm.

Now, comparing these converted lengths in millimeters:

  • The smallest value is 5 5 mm which corresponds to 0.5 0.5 cm.
  • The next smallest is 7 7 mm which corresponds to 0.007 0.007 m.
  • The third is 9 9 mm which corresponds to 0.09 0.09 dm.
  • The largest is 55 55 mm which corresponds directly to 55 55 mm.

Therefore, in ascending order, the lengths are:

0.5 0.5 cm
0.007 0.007 m
0.09 0.09 dm
55 55 mm

Answer:

0.5 0.5 cm
0.007 0.007 m
0.09 0.09 dm
55 55 mm

Exercise #5

Order from smallest to largest:

45 45 mm, 0.3 0.3 dm, 5 5 cm, 0.007 0.007 m

Step-by-Step Solution

To compare the measurements, convert all units to meters:

  • 45 45 mm = 0.045 0.045 m.

  • 0.3 0.3 dm = 0.03 0.03 m.

  • 5 5 cm = 0.05 0.05 m.

  • The smallest is 0.007 0.007 m itself.

Order from smallest to largest:

0.007 0.007 m
0.03 0.03 m
0.045 0.045 m
0.05 0.05 m

Answer:

0.007 0.007 m
0.3 0.3 dm
45 45 mm
5 5 cm

Frequently Asked Questions

How do you convert meters to centimeters?

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To convert meters to centimeters, multiply the number of meters by 100. For example, 1.56 meters × 100 = 156 centimeters. This works because 1 meter equals 100 centimeters.

What are the basic length units in the metric system?

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The basic metric length units are: 1. Millimeter (mm) - smallest unit 2. Centimeter (cm) = 10 millimeters 3. Meter (m) = 100 centimeters 4. Kilometer (km) = 1000 meters

How many centimeters are in a kilometer?

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There are 100,000 centimeters in a kilometer. You can calculate this by converting km to meters (×1000), then meters to cm (×100): 1 km × 1000 × 100 = 100,000 cm.

What tools are used to measure length?

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Common length measuring tools include rulers for small measurements, measuring tapes for medium distances, tape measures for construction, squares for right angles, and calipers for precise measurements.

Why do we need different units of length?

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Different length units help us measure objects appropriately. We use millimeters for tiny objects, centimeters for small items, meters for room dimensions, and kilometers for long distances like roads.

What's the easiest way to remember metric conversions?

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Remember these key facts: 10 mm = 1 cm, 100 cm = 1 m, 1000 m = 1 km. When converting to smaller units multiply, when converting to larger units divide. Practice with real examples helps memorize these relationships.

How do you convert kilometers to centimeters step by step?

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Follow these steps: 1. Convert km to meters (multiply by 1000) 2. Convert meters to cm (multiply by 100) 3. Or multiply directly by 100,000. For example: 2 km = 2 × 1000 = 2000 m, then 2000 × 100 = 200,000 cm.

What are common mistakes when converting length units?

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Common errors include: multiplying when you should divide, forgetting conversion factors (like 100 cm = 1 m), and mixing up which unit is larger. Always check if your answer makes sense - converting to smaller units gives bigger numbers.

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