Order from smallest to largest: $$ 45 $$ mm, $$ 0.3 $$ dm, $$ 5 $$ cm, $$ 0.007 $$ m

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

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

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

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

Order from smallest to largest: $$ 0.2 $$ m, $$ 35 $$ mm, $$ 15 $$ cm, $$ 0.05 $$ dm

$$ 0.05 $$ dm $$ 35 $$ mm $$ 15 $$ cm $$ 0.2 $$ m

$$ 35 $$ mm $$ 0.05 $$ dm $$ 15 $$ cm $$ 0.2 $$ m

$$ 0.05 $$ dm $$ 0.2 $$ m $$ 15 $$ cm $$ 35 $$ mm

$$ 15 $$ cm $$ 35 $$ mm $$ 0.05 $$ dm $$ 0.2 $$ m

Order from smallest to largest: $$ 60 $$ mm, $$ 8 $$ cm, $$ 0.1 $$ m, $$ 0.09 $$ dm

$$ 0.09 $$ dm $$ 60 $$ mm $$ 8 $$ cm $$ 0.1 $$ m

$$ 8 $$ cm $$ 60 $$ mm $$ 0.09 $$ dm $$ 0.1 $$ m

$$ 60 $$ mm $$ 0.09 $$ dm $$ 0.1 $$ m $$ 8 $$ cm

$$ 0.1 $$ m $$ 8 $$ cm $$ 60 $$ mm $$ 0.09 $$ dm

Order from smallest to largest: $$ 0.06 $$ m, $$ 9 $$ cm, $$ 70 $$ mm, $$ 0.08 $$ dm

$$ 0.08 $$ dm $$ 0.06 $$ m $$ 70 $$ mm $$ 9 $$ cm

$$ 70 $$ mm $$ 0.08 $$ dm $$ 9 $$ cm $$ 0.06 $$ m

$$ 0.06 $$ m $$ 70 $$ mm $$ 0.08 $$ dm $$ 9 $$ cm

$$ 70 $$ mm $$ 9 $$ cm $$ 0.08 $$ dm $$ 0.06 $$ m

Order from smallest to largest: $$ 11 $$ cm, $$ 0.1 $$ dm, $$ 90 $$ mm, $$ 0.011 $$ m

$$ 0.1 $$ dm $$ 0.011 $$ m $$ 90 $$ mm $$ 11 $$ cm

$$ 0.011 $$ m $$ 90 $$ mm $$ 11 $$ cm $$ 0.1 $$ dm

$$ 90 $$ mm $$ 0.1 $$ dm $$ 11 $$ cm $$ 0.011 $$ m

$$ 0.1 $$ dm $$ 11 $$ cm $$ 90 $$ mm $$ 0.011 $$ m

Order from smallest to largest: $$ 50 $$ mm, $$ 0.2 $$ dm, $$ 4 $$ cm, $$ 0.005 $$ m

$$ 0.005 $$ m $$ 0.2 $$ dm $$ 4 $$ cm $$ 50 $$ mm

$$ 0.005 $$ m $$ 50 $$ mm $$ 4 $$ cm $$ 0.2 $$ dm

$$ 50 $$ mm $$ 0.2 $$ dm $$ 4 $$ cm $$ 0.005 $$ m

$$ 0.2 $$ dm $$ 4 $$ cm $$ 0.005 $$ m $$ 50 $$ mm

Order from smallest to largest: $$ 30 $$ mm, $$ 0.09 $$ dm, $$ 6 $$ cm, $$ 0.04 $$ m

$$ 0.09 $$ dm $$ 30 $$ mm $$ 0.04 $$ m $$ 6 $$ cm

$$ 30 $$ mm $$ 0.09 $$ dm $$ 0.04 $$ m $$ 6 $$ cm

$$ 0.09 $$ dm $$ 0.04 $$ m $$ 6 $$ cm $$ 30 $$ mm

$$ 0.04 $$ m $$ 6 $$ cm $$ 0.09 $$ dm $$ 30 $$ mm

Order from smallest to largest: $$ 0.04 $$ m, $$ 8 $$ cm, $$ 50 $$ mm, $$ 0.2 $$ dm

$$ 0.2 $$ dm $$ 0.04 $$ m $$ 50 $$ mm $$ 8 $$ cm

$$ 50 $$ mm $$ 0.2 $$ dm $$ 8 $$ cm $$ 0.04 $$ m

$$ 0.04 $$ m $$ 0.2 $$ dm $$ 50 $$ mm $$ 8 $$ cm

$$ 8 $$ cm $$ 50 $$ mm $$ 0.04 $$ m $$ 0.2 $$ dm

Order from smallest to largest: $$ 55 $$ mm, $$ 0.5 $$ cm, $$ 0.007 $$ m, $$ 0.09 $$ dm

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

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

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

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

Length Units Practice Problems with Solutions

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 $10$ millimeters.

A meter is equivalent to $100$ centimeters.

One kilometer is equal to $1000$ meters.

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

Convert to cm:
$0.6$ 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 $\text{centimeters} = \text{meters} \times 100$ .
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 $60$ centimeters.

Answer:

$60$

Exercise #2

Which of the following values equals:
$5000$ 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 $1 \text{ meter} = 100 \text{ cm}$ . Therefore, to convert $5000$ cm to meters, we divide $5000$ by $100$ :

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

Step 2: Among the given choices, we are looking for $50$ meters, which matches $\text{Choice 4}$ .

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

Answer:

$50$ m

Exercise #3

Convert to meters:
$40$ 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: $40$ cm.
Recall the conversion factor: $1$ meter = $100$ centimeters.
Apply the conversion factor to convert $40$ cm into meters by dividing by $100$ :
$\frac{40}{100} = 0.4$ meters.

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

Therefore, the solution to the problem is $0.4$ .

Answer:

$0.4$

Exercise #4

Calculate the surface area of the box shown in the diagram.

Pay attention to the units of measure!

Step-by-Step Solution

To solve this problem, we'll follow these steps:

Step 1: Convert all dimensions to the same unit.
Step 2: Apply the surface area formula for a cuboid.
Step 3: Calculate the total surface area.

Now, let's work through each step:

Step 1: Convert all dimensions to the same unit. For consistency, we will convert everything to decimeters (dm):

Width = 5 dm (already in dm)
Height = 4 cm. To convert cm to dm, divide by 10: $4 \, \text{cm} = 0.4 \, \text{dm}$ .
Depth = 0.3 dm (already in dm)

Step 2: Apply the surface area formula for a cuboid:

The surface area $A$ is given by:

$A = 2lw + 2lh + 2wh$

Where:

$l = 0.3 \, \text{dm}$ (depth)
$w = 5 \, \text{dm}$ (width)
$h = 0.4 \, \text{dm}$ (height converted to dm)

Substitute these values into the formula:

$A = 2(0.3)(5) + 2(0.3)(0.4) + 2(5)(0.4)$

Step 3: Calculate the surface area:

$A = 2(1.5) + 2(0.12) + 2(2)$

$A = 3 + 0.24 + 4$

$A = 7.24 \, \text{dm}^2$

Note that the question requires the surface area in different units.

Thus, 7.24 dm² is 72.4 cm²

Therefore, the solution to the problem is 72.4 cm².

Answer:

72.4 cm²

Video Solution

Exercise #5

Order from smallest to largest:

$2$ cm, $0.4$ dm, $30$ mm, $0.01$ m

Step-by-Step Solution

To order the given lengths from smallest to largest, we first convert all measurements to a common unit, such as centimeters:

$2$ cm is already in centimeters.
$0.4$ dm: Using the conversion $1$ dm = $10$ cm, $0.4$ dm = $0.4 \times 10 = 4$ cm.
$30$ mm: Using the conversion $1$ mm = $0.1$ cm, $30$ mm = $30 \times 0.1 = 3$ cm.
$0.01$ m: Using the conversion $1$ m = $100$ cm, $0.01$ m = $0.01 \times 100 = 1$ cm.

Now, we can arrange the lengths in ascending order by their converted measurements:

$0.01$ m = $1$ cm
$2$ cm = $2$ cm
$30$ mm = $3$ cm
$0.4$ dm = $4$ cm

Therefore, the correct order from smallest to largest is:

$0.01$ m
$2$ cm
$30$ mm
$0.4$ dm

Answer:

$0.01$ m
$2$ cm
$30$ mm
$0.4$ dm

Frequently Asked Questions

Everything you need to know about Length Units

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.

Continue Your Math Journey

Master Length Units first, then advance to these related topics that build on your fraction skills

Topics Learned in Later Sections

Practice by Question Type

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Arrange the numbers in Ascending Order Converting measurements Matching expressions equal in value