Lesson

We have previously worked with the fraction one tenth or \dfrac{1}{10}. Represent this fraction on the following number line.

Plot \dfrac{1}{10} on the number line.

Worked Solution

Idea summary

We plotting fractions on a number line the denominator tells us how many equal parts to split the number line into.

This video shows you how to write a number as both a fraction and decimal for numbers that are both tenths and hundredths.

Look at the diagram.

a

What fraction of the total squares are shaded?

Worked Solution

b

Write the fraction as a decimal.

Worked Solution

Idea summary

We can use a place value table to convert a fraction to a decimal.

When we looked at place value, we looked at how numbers can be written in a place value table so we can write and understand the value of a number. We started with the units column, then went up to tens, hundreds, thousands and so on. This video shows how we can use the place value columns for numbers less than 1 whole.

Write the decimal 5.3 as an improper fraction.

Worked Solution

Idea summary

To convert a decimal into a fraction, we can use a place value table to work out the value of each digit. Then we can add the values together.

Continuing on from tenths this video now looks at how we can extend to hundredths.

Write the following fraction as a decimal: \dfrac{9}{100}

Worked Solution

Idea summary

10 tenths make 1 whole.

100 hundredths make 1 whole.

Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation