6.01 Tenths and hundredths

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

Examples

Example 1

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

Worked Solution

Create a strategy

The space between 0 and 1 on the number line has been divided into 10 equal spaces. Use the fraction bar model to count.

Apply the idea

\dfrac{1}{10} is equal to 1 lot of \dfrac{1}{10}. So we need to move 1 space from 0.

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

Examples

Example 2

Look at the diagram.

a

What fraction of the total squares are shaded?

Worked Solution

Create a strategy

Write the fraction as \dfrac{\text{number of shaded parts}}{\text{total number of parts}}.

Apply the idea

There are 26 shaded squares out of 100 squares. So the fraction is: \dfrac{26}{100}

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b

Write the fraction as a decimal.

Worked Solution

Create a strategy

Use a place value table to convert it to a decimal.

Apply the idea

The fraction is 26 hundredths. To put it in a place value table, we put the last digit, 6 in the hundredths column and put 2 in the column to the left of hundredths. Then we use zeros for place holders:

Units	.	Tenths	Hundredths
0	\text{.}	2	6

\dfrac{26}{100}=0.26

Watch question walkthrough

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.

Examples

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

Examples