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.
In this article, the lesson objectives are:
- Express tenths as decimals
- Express hundredths as decimals
- Express thousandths as decimals
Watch our video lesson!
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\(\begin{align}\\[2ex] &= \frac{8}{10} \\[2ex] &=0.8 \end{align}\)
Answer:
0.8
Question 2:
Express 68 tenths as a decimal.
Solution:
68 tenths\(\begin{align}\\[2ex] &= \frac{68}{10} \\[2ex] &=6.8 \end{align}\)
Answer:
6.8
Question 3:
Express 27 tenths as a decimal.
Solution:
27 tenths\(\begin{align}\\[2ex] &= \frac{27}{10} \\[2ex] &=2.7 \end{align}\)
Answer:
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\(\begin{align}\\[2ex] &= \frac{71}{100} \\[2ex] &=0.07 \end{align}\)
Answer:
0.07
Question 2:
Express \(79\) hundredths as a decimal.
79 hundredths \(=\) __________
Solution:
79 hundredths\(\begin{align}\\[2ex] &= \frac{79}{100} \\[2ex] &=0.79 \end{align}\)
Answer:
0.79
Question 3:
Express 245 hundredths as a decimal.
245 hundredths = __________
Solution:
245 hundredths\(\begin{align}\\[2ex] &= \frac{245}{100} \\[2ex] &=2.45 \end{align}\)
Answer:
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\(\begin{align}\\[2ex] &= \frac{8}{1000} \\[2ex] &=0.008 \end{align}\)
Answer:
0.008
Question 2:
Express 28 thousandths as a decimal.
Solution:
28 thousandths\(\begin{align}\\[2ex] &= \frac{28}{1000} \\[2ex] &=0.028 \end{align}\)
Answer:
0.028
Question 3:
Express 8146 thousandths as a decimal.
Solution:
8146 thousandths\(\begin{align}\\[2ex] &= \frac{8146}{1000} \\[2ex] &=8.146 \end{align}\)
Answer:
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:
Answer:
tenths
Question 2:
In 13.074, the digit 7 is in the __________ place.
Solution:
Answer:
hundredths
Question 3:
In 18.093, which digit is in the hundredths place?
Solution:
Answer:
9
Question 4:
In 542.603, which digit is in the tenths place?
Solution:
Answer:
6
Question 5:
What is the value of the point marked X?
The point marked X is __________.
- 0.44
- 0.452
- 0.454
- 0.47
Solution:
Answer:
(4) 0.47
Question 6:
What is the value of the point marked X?
The point marked X is __________.
- 0.2
- 0.7
- 2
- 7
Answer:
(2) 0.7
Question 7:
What is the value of the point marked X?
Answer:
1.4
Question 8:
What is the value of the point marked X?
Answer:
0.001
Question 9:
What is the value of the point marked X?
Answer:
0.022
Question 10:
What is the value of the point marked X?
Answer:
0.014
Continue Learning | |
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Multiplication | Whole Numbers |
Multiplication And Division | Decimals |
Model Drawing Strategy | Division |
Fractions | Factors And Multiples |
Area And Perimeter 1 | Line Graphs |
Time |