Convert tenths and hundredths between fractions and decimals
Place value for parts of a whole
Remember that we could extend our place value table to include columns that are smaller than units? These are used to show parts of a whole, which are worth less than one.
Comparing decimals to fractions
When we look at parts of a whole, we also use fractions to represent our number. If we know the fraction value, we can also write it in decimal form. So, we can write $\frac{1}{10}$110 as $0.1$0.1.
Looking at tenths as decimals, and on a number line
This video shows you how to compare the fraction expression to the decimal format, and the written format. It also shows you how decimals can be placed on a number line. Here, we look at tenths, so you may wish to have a look at working with tenths, for some extra help.
Looking at hundredths as decimals, and on a number line
In our second video, we follow the same approach, but use hundredths. In working with hundredths, we saw how we can break our whole into $100$100 hundredths. The fraction $\frac{23}{100}$23100 can be written as $0.23$0.23.
Tenths are bigger than hundredths.
To the left of our decimal point, the value of each digit increases, but to the right, it decreases.
Worked Examples
Question 1
Plot $3.9$3.9 on the number line.
Question 2
Plot $6.01$6.01 on the number line.
Question 3
What proportion of the diagram is shaded blue. Express your answer in decimal form.
