Units of Measurement - Examples, Exercises and Solutions

Units of measurement

Overview:

In this article we will learn what units of measurement are, we will know their different types and we will see examples. At the end of the article you will be able to find a table that concentrates all the units of measure.

Table of contents:

With the units of measurement we measure different things or aspects. We will come across them every time we want to quantify something. For example, with measures such as meters and kilometers we can measure length. With measures such as gram, kilogram and ton we can measure weight.

For us the most important measurements are those of the following items:

Length measurements (With units such as the following: centimeter, meter, kilometer).

Measures of weight (With units such as gram, kilogram)

Measures of time (with units such as second, minute, hour)

Monetary measures (with units of the type cent, peso, cent, dollar)

Area measures (With units of the type square centimeter, square meter)

Volume measures (With units of type cubic centimeter, cubic meter, liter)

Practice Units of Measurement

Question 1

Solve the following problem:

$$ 8km^2=?m^2 $$

Question 2

Convert dollars to cents:

0.18 $ =? cents

Question 3

$$ 7.8T=?kg $$

Question 4

$\frac{55}{5}\times200\operatorname{kg}=?T$

Question 5

$$ x_m=?km $$

Examples with solutions for Units of Measurement

Exercise #1

Solve the following problem:

$8km^2=?m^2$

Video Solution

Step-by-Step Solution

Remember that one kilometer equals 1000 meters.

Therefore 8 kilometers equals 8*1000 meters.

The answer is 8000 meters.

Answer

$8000m^2$

Exercise #2

Convert dollars to cents:

0.18 $ =? cents

Video Solution

Step-by-Step Solution

In order to answer this question, one must understand that one dollar is equivalent to 100 cents.

Therefore, one dollar is 0.01 cents.

0.18 dollars, therefore, is 18 cents.

You can also achieve this if we multiply by 100.

0.18*100=18

Answer

$18$

Exercise #3

$7.8T=?kg$

Video Solution

Step-by-Step Solution

The letter T indicates a metric tonne,

One tonne is equivalent to one thousand kilograms,

Therefore, in 7.8 tons there are

1000*7.8 = 7800 kg

Answer

$7800$

Exercise #4

$\frac{55}{5}\times200\operatorname{kg}=?T$

Video Solution

Step-by-Step Solution

First, let's simplify the fraction:

$\frac{55}{5}=11$

This leaves us with:

$11\times200kg$

Now, let's perform the calculation, giving us:

$2200kg$

Note that we need the answer in tons:

$T=1000kg$

$\frac{2200kg}{1000}=2.2T$

Answer

2.2

Exercise #5

$x_m=?km$

Video Solution

Step-by-Step Solution

In one kilometer there are 1000 meters,

therefore one meter is one-thousandth of a kilometer.

Answer

$\frac{x}{1000}$

Question 1

$$ 5cm=?mm $$

Question 2

$$ 7m=?cm $$

Question 3

$$ 5000cm=?km $$

Question 4

$$ 5cm=?mm $$

Answer

$700$

Question 1

$$ 12cm=?dm $$

Question 2

$$ 0.5m=?cm $$

Question 3

$\frac{1}{5}km=?m$

Question 4

$$ 0.6km=?cm $$

Answer

$7000$