 Study P4 Mathematics Maths - Decimals - Geniebook   # Decimals

## What are Decimals?

Decimals contain a whole number and a fractional part that is separated by a dot, or a decimal point. For example, in $$76.5$$, $$76$$ is the whole number and $$5$$ is the fractional part.

1. Express tenths as decimals
2. Express hundredths as decimals
3. Express thousandths as decimals

## 1. Express Tenths As Decimals

### Express Tenths As Decimals The square is divided into $$10$$ equal parts.

Each part represents one tenth.
One tenth\begin{align}​​\\[2ex] &= \frac{1}{10} \\[2ex] &=0.1 \end{align}

We read $$0.1$$ as zero point one.

### Express Tenths On A Number Line We can also write decimals on a place-value chart.

For Example:

10 tenths\begin{align}​​\\[2ex] &= \frac{10}{10} \\[2ex] &=1.0 \end{align} Question 1:

Express 8 tenths as a decimal.

Solution: 8 tenths\begin{align}​​\\[2ex] &= \frac{8}{10} \\[2ex] &=0.8 \end{align}

0.8

Question 2:

Express 68 tenths as a decimal.

Solution: 68 tenths\begin{align}​​\\[2ex] &= \frac{68}{10} \\[2ex] &=6.8 \end{align}

6.8

Question 3:

Express 27 tenths as a decimal.

Solution: 27 tenths\begin{align}​​\\[2ex] &= \frac{27}{10} \\[2ex] &=2.7 \end{align}

2.7

## 2. Express Hundredths As Decimals The square is now divided into $$100$$ equal parts.

Each part represents one hundredth
One hundredth\begin{align}​​\\[2ex] &= \frac{1}{100} \\[2ex] &=0.01 \end{align}

We read 0.01 as zero point zero one.

### Express Hundredths On A Number Line We can also write decimals on a place-value chart.

For example:
10 hundredths\begin{align}​​\\[2ex] &= \frac{10}{100} \\[2ex] &=0.10 \end{align} Question 1:

Express 7 hundredths as a decimal.

Solution: 7 hundredths\begin{align}​​\\[2ex] &= \frac{71}{100} \\[2ex] &=0.07 \end{align}

0.07

Question 2:

Express $$79$$ hundredths as a decimal.

79 hundredths $$=$$ __________

Solution: 79 hundredths\begin{align}​​\\[2ex] &= \frac{79}{100} \\[2ex] &=0.79 \end{align}

0.79

Question 3:

Express 245 hundredths as a decimal.

245 hundredths = __________

Solution: 245 hundredths\begin{align}​​\\[2ex] &= \frac{245}{100} \\[2ex] &=2.45 \end{align}

2.45

## 3. Express Thousandths As Decimals

Similarly to tenths and hundredths, if a square is divided into 1000 equal parts, each part represents one thousandth.
One thousandth\begin{align}​​\\[2ex] &= \frac{1}{1000} \\[2ex] &=0.001 \end{align}

We read $$0.001$$ as zero point zero zero one

### Express Thousandths On A Number Line We can also write decimals on a place-value chart.

For Example:
10 thousandths\begin{align}​​\\[2ex] &= \frac{10}{1000} \\[2ex] &=0.010 \end{align} Question 1:

Express 8 thousandths as a decimal.

Solution: 8 thousandths\begin{align}​​\\[2ex] &= \frac{8}{1000} \\[2ex] &=0.008 \end{align}

0.008

Question 2:

Express 28 thousandths as a decimal.

Solution: 28 thousandths\begin{align}​​\\[2ex] &= \frac{28}{1000} \\[2ex] &=0.028 \end{align}

0.028

Question 3:

Express 8146 thousandths as a decimal.

Solution: 8146 thousandths\begin{align}​​\\[2ex] &= \frac{8146}{1000} \\[2ex] &=8.146 \end{align}

8.146

## Identify Values And Place Values

$$2.534 = 2 + 0.5 + 0.03 + 0.004$$

The value of the digit 4 is 0.004. The digit 4 is in the thousandths place.

The value of the digit 3 is 0.03. The digit 3 is in the hundredths place.

The value of the digit 5 is 0.5. The digit 5 is in the tenths place.

The value of the digit 2 is 2. The digit 2 is in the ones place.

Question 1:

In 25.49, the digit 4 is in the __________ place.

Solution: tenths

Question 2:

In 13.074, the digit 7 is in the __________ place.

Solution: hundredths

Question 3:

In 18.093, which digit is in the hundredths place?

Solution: Question 4:

In 542.603, which digit is in the tenths place?

Solution: Question 5:

What is the value of the point marked X?

The point marked X is __________. 1. 0.44
2. 0.452
3. 0.454
4. 0.47

Solution: (4) 0.47

Question 6:

What is the value of the point marked X? The point marked X is __________.

1. 0.2
2. 0.7
3. 2
4. 7

(2) 0.7

Question 7:

What is the value of the point marked X? 1.4

Question 8:

What is the value of the point marked X? 0.001

Question 9:

What is the value of the point marked X? 0.022

Question 10:

What is the value of the point marked X? 0.014

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Multiplication And Division
Decimals
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Division
Fractions
Factors And Multiples
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