Representing Decimals on Number Line is also similar to the numbers on a number line. Decimal numbers can be represented on the number line with equal intervals. If we go through any division process and the resultant lies between two numbers, we can’t show them on a number line with whole numbers. It is more particular to represent decimals on the number line. Check out the complete article to know how to represent decimal numbers on the number line.
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Decimal Representation
Every real number can represent in the form of a decimal number. The decimal number consists of two parts. They are the number part and also the decimal part. For example, if you take the number 0.2, 0 is the whole number part, ‘.’ is the decimal point, and 2 is the decimal part. We can also represent the fraction as a decimal number.
How to Represent Decimals on Number Line?
Follow the below procedure to represent decimals on a number line.
Let us take the two numbers 0 and 1 which are represented on a number line. If we want to represent the midpoint of the number line which is 1/2 = 0.5, then we need to divide the number line into more detail. Make equal intervals between 0 and 1. Then, point out the mid-point on a number line. In order to represent decimals between the whole numbers, then we will divide the number line as per the decimal number.
Decimal Representation on Number Line Examples
Check out the below examples to know how to represent different decimals on the number line.
Example 1:
Represent the following decimals 0.8, -1.2, -0.5, and 1.2 on a number line.
Solution:
Given decimal numbers are 0.8, -1.2, -0.5, and 1.2
0.8 = 8/10, -1.2 = -12/10, -0.5 = -5/10, 1.2 = 12/10.
Divide the space between the given integers on a number line into 10 equal parts. Each part is equal to 1/10 i.e, 0.1.
To represent 0.8 on the number line, move 8 parts on the right side of zero.
To represent -1.2 on the number line, move 12 parts on the left side of zero.
To represent -0.5 on the number line, move 5 parts on the left side of zero.
To represent 1.2 on the number line, move 12 parts on the right side of zero.
Check the below number line which consists of the given decimal numbers.
Example 2:
Represent the following decimals 0.4, 0.8, -0.3, and -1.3 on a number line.
Solution:
Given decimal numbers are 0.4, 0.8, -0.3, and -1.3
0.4 = 4/10, 0.8 = 8/10, -0.3 = -3/10, -1.3 = 13/10.
Divide the space between the given integers on a number line into 10 equal parts. Each part is equal to 1/10 i.e, 0.1.
To represent 0.4 on the number line, move 4 parts on the right side of zero.
To represent 0.8 on the number line, move 8 parts on the right side of zero.
To represent -0.3 on the number line, move 3 parts on the left side of zero.
To represent -1.3 on the number line, move 13 parts on the left side of zero.
Check the below number line which consists of the given decimal numbers.
Example 3:
Represent the following decimals 0.25, 1.75, and -1.50 on a number line.
Solution:
Given decimal numbers are 0.25, 1.75, and -1.50
0.25 = 25/100, 1.75 = 175/100, and -1.50 = -150/100.
Divide the space between the given integers on a number line into 4 equal parts. Each part is equal to 1/25 i.e, 0.25.
To represent 0.25 on the number line, move 1 part on the right side of zero.
To represent 1.75 on the number line, move 3 parts on the right side of zero.
To represent -1.50 on the number line, move 2 parts on the left side of zero.
Check the below number line which consists of the given decimal numbers.
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FAQs on Plotting Decimal Numbers on a Number Line
1. Can I represent negative decimal numbers on a number line?
You can represent negative decimal numbers on a number line.
2. What does a decimal number consist of?
A decimal number consists of whole numbers, a decimal point, and also decimal numbers.
3. What is Decimal on Number Line?
Decimals on a number line are representing decimals on the number line at equal intervals.
4. How to Place Decimals on Number Line?
Placing decimals on a number line can be done by identifying the range of integers where the decimal lies by making divisions. Also, we must know on which side of the number we need to move either right or left.
Summary
Read the complete article and know how to represent decimals on the number line. You can also get all the concepts without paying any amount. Students can access all the topics on our website for free online and also offline. Also, find different worksheets, practice tests, and also free pdf’s on our website.