Compare Two Numbers using a Number Line

Compare Two Numbers using a Number Line – Definition, Rules, Methods, Examples | How to Compare Two Numbers on a Number Line?

Before you Compare Two Numbers using a Number Line, you must aware of the number line. A number line is a line that consists of different numbers which are positive and negative. The numbers they present after the zero on a number line are called positive numbers. The numbers they present before the zero on a number line are called negative numbers. We can compare the numbers using different signs.

The signs used for comparing numbers are less than, greater than, and also equal. But with the number lines, it is easy to compare numbers. Just by seeing a number line, we can say either the number is greater or smaller. All the 6th Grade Math concepts are included on our website along with the worksheets.

Compare two numbers using a number line

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How do you Compare Two Numbers on a Number Line?

Comparing Two Numbers using a Number Line is possible with the below rules.

  1. On a number line, a number on the left is smaller and always less than a number that presents on the right.
  2. In the same way, a number on the right is greater and always greater than a number that presents on the left.

Example: Let us take two numbers 4 and 3. Represent the given numbers on the number line.
Compare two numbers using a number line example

In the above figure, the given numbers are pointed on the number line. From the number line, the number 3 is near 0 compared to 4. So, 3 is smaller and 4 is the larger number.

Therefore, 4 is greater than 3. 4 >3.

Comparing Two Numbers on a Number Line Examples

Question 1.
Fill the gap with less than (<), greater than (>), or equal using given number lines.
(i) Comparision of two numbers using a number line
4—–(-3)
(ii) How to Compare of two numbers using a number line
1——-2

Solution:
(i) On a given number line, numbers -3 and 4 are pointed. -3 is on the left side of the 0 and 4 is on the right side of the 0. So, -3 is a smaller number and 4 is the larger number.

Therefore, 4 > (-3).

(ii) On a given number line, numbers 1 and 2 are pointed. 1 is near the 0 compared to 2. So, 1 is a smaller number and 2 is a larger number.

Therefore, 1 < 2.

Question 2.
Draw a number line using the given numbers.
(i) -1, 2, 5
(ii) -3, -1, 2

Solution:
(i) Given numbers are -1, 2, and 5. Let’s point out the given numbers on a number line.

How to Compare of two numbers using a number line- solved examples

(ii) Given numbers are -3, -1, and 2. Let’s point out the given numbers on a number line.

Comparision of two numbers using a number line solved examples

Question 3.
Consider the number line, and write down some real considerations.
Compare two numbers using a number line

Solution:
(i) 5 is greater than 0, because it is to the right of 0.
(ii) -4 is less than -1, because it is to the left of -3.
(iii) -3 is less than 3, because it is to the left of 3
(iv) -2 is greater than -8, because it is to the right of -8.
(v) -4 is less than 2, because it is to the left of 2
(vi) 9 is greater than 3, because it is to the right of 3.
(vii) -7 is greater than -1, because it is to the right of -1.
(viii) 9 is greater than -8, because it is to the right of -8.
(ix) -4 is less than -1, because it is to the left of -1.
(x) -3 is less than 0, because it is to the left of 0 and so on.

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FAQs on Comparison of Two Numbers using a Number Line

1. What is a number line?

A number line is a straight line that consists of integers or numbers on it at a regular interval.

 2. What is the use of the number line?

A number line is used to represent infinite integers and to compare them. We can also do addition and subtraction using a number line.

3. Which is the smallest whole number?

The smallest whole number is zero.

4. How many numbers can represent a number line?

We can represent infinite numbers on a number line.

5. If the integers are placed on the right side of a number line, then what does it indicate?

If the integers are placed on the right side of a number line, then such numbers are greater than the numbers on the left side. For example, 4 is placed on the right side of 2, as 4 is greater than 4.

Final Words

Completely read the article and practice all the problems to understand the complete concept. Also, try to practice on your own and check out the answers for better practice. You can easily get good marks in the exam if you go through our concepts.

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