what is the location of the point on the number line that is 4/7 of the way from a=4 to b=18

In Maths, number lines are the horizontal straight lines in which the integers are placed in equal intervals. All the numbers in a sequence can be represented in a number line. This line extends indefinitely at both ends.

In the in a higher place figure, we tin see a number line where integers are placed. Hither, the positive and negative integers are placed on either side of the nothing.

• Number Organization
• Whole Numbers
• Real Numbers
• Integers

What is a Number Line?

A number line is a pictorial representation of numbers on a straight line. It's a reference for comparison and ordering numbers. It can exist used to represent any existent number that includes every whole number and natural number. Just to remember, the whole number is a gear up of numbers that include all counting numbers (1, two, 3,4,five,6 …….) and goose egg (0), whereas the natural number is the prepare of all counting numbers i.eastward. ane, 2, 3, 4, v, six……..

Writing numbers on a number line make it easier to compare the numbers. From the in a higher place figure, we can see that the integers on the left side are smaller than the integers on the right side. For example, 0 is less than i, -ane is less than 0, -2 is less than -1, then on.

Numbers on a Number Line

Arithmetic operations of numbers can exist meliorate explained on a number line. To begin with, ane must know to locate numbers on a number line. Zero is the centre betoken of a number line. All (natural numbers) positive numbers occupy the right side of the cypher whereas negative numbers occupy the left side of zippo on the number line. Every bit we movement on to the left side value of a number decreases. For example, ane is greater than -2. In a number line, integers, fractions, and decimals tin can also be represented easily. Bank check out the links given below to acquire more.

Of import Notes:

• On a number line, a number on the left is ever less than a number on the right.
• Similarly, a number on the correct is e'er greater than a number on the left.

Number Line one to 100

Hither are the number lines from 1 to 100 numbers. As we already we tin extend the number line indefinitely, thus students tin likewise effort to describe the line beyond 100, to practice.

Addition on Number Lines

Adding Positive Numbers

When we add two positive numbers, the result will always be a positive number. Hence, on adding positive numbers direction of movement will ever exist to the right side.

For example, addition of 1 and 5 (1 + 5 = 6)

Hither the kickoff number is i and the second number is 5; both are positive. Showtime, locate one on the number line. Then motility 5 places to the right will give 6.

Adding Negative Numbers

When we add two negative numbers, the result will always be a negative number. Hence, adding negative numbers management of movement will ever exist to the left side.

For example, the addition of -2 and -3

Here, the first number is -2 and the second number is -3; both are negative. Locate -2 on the number line. And so move three places to the left will requite -v.

Subtraction on Number Line

Subtracting Positive Numbers

When we subtract two positive numbers, move to the left as far as the value of the second number.

For example, subtract 5 from ii

Here the start number is 2 and the second number is 5; both are positive. Outset, locate ii on the number line. And so move v places to the left will requite -iii.

Subtracting Negative Numbers

When we subtract 2 negative numbers, move to the correct as far as the value of the second number.

For example, subtract -4 from -2

First, locate -two on the number line. So move four places to the correct will requite 2.

Acquire More: Operations of Integers on Number Line

Practice Questions

• Add iii and -ix on the number line.
• Subtract eight from -2 on the number line.
• Draw a number line representing whole numbers.
• Show the negative integers using a number line

To solve more than bug and to spotter interactive videos on the topic, go on visiting BYJU'Due south and download BYJU'S – The Learning App.

Frequently Asked Questions – FAQs

What is a number line?

A number line is a horizontal straight line, that represents integers on information technology, at a regular interval.

Why do nosotros apply the number line?

A number line is used to correspond integers and compare them. Nosotros tin can also perform arithmetic operations such as addition and subtraction using a number line.

If the integers are placed on the left side of number line, then what does it indicate?

If the integers are placed on the left side of number line, then those numbers are smaller than the numbers on the correct side. For instance, 7 is placed on the left side of 8, as 7 is less than 8.

Which is the smallest whole number?

The smallest whole number is zero.

How many numbers tin be represented in a number line?

A number line extends indefinitely on both sides. Hence, we can represent integers on a number line, infinitely.

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