Difference between revisions of "Number Line"
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Number lines are the horizontal straight lines in which the integers are placed in equal intervals. All the numbers in | |||
[[File:Number-line-4.svg|alt=Number Lines|thumb|Number Lines]] | |||
a sequence can be represented in a number line. This line extends indefinitely at both ends. In the figure, we can see a number line where integers are placed. Here, the positive and negative integers are placed on either side of the zero. | |||
== What is a Number Line? == | |||
A number line is a pictorial representation of numbers on a straight line. It’s a reference for comparing and ordering numbers. It can be used to represent any real number that includes every whole number and natural number. | |||
Writing numbers on a number line make it easier to compare the numbers. From the above figure, we can see that the integers on the left side are smaller than the integers on the right side. For example, <math>0</math> is less than <math>1</math>, <math>-1</math> is less than <math>0</math>, <math>-2</math> s less than <math>-1</math>, and so on. | |||
== Numbers on a Number Line == | |||
Arithmetic operations of numbers can be better explained on a number line. We must know to locate numbers on a number line. Zero is the middle point of a number line. All (natural numbers) positive numbers occupy the right side of the zero whereas negative numbers occupy the left side of zero on the number line. As we move on to the left side value of a number decreases. For example, <math>1</math> is greater than <math>-2</math>. In a number line, integers, fractions, and decimals can also be represented easily. | |||
== Addition on Number Lines == | |||
[[File:Number line method.svg|alt=Addition on Number line|thumb|Addition on Number line]] | |||
When we add two positive numbers, the result will always be a positive number. Hence, on adding positive numbers direction of movement will always be to the right side. | |||
For example, addition of <math>5</math> and <math>2</math> | |||
<math>5+2=7</math> | |||
Here the first number is <math>5</math> and the second number is <math>2</math> ; both are positive. First, locate <math>5</math> on the number line. Then move <math>2</math> places to the right will give <math>7</math>. | |||
== Subtraction on Number Lines == | |||
[[File:Integers-line 2-4.svg|alt=Subtraction on number line|thumb|Subtraction on number line]] | |||
When we subtract two positive numbers, move to the left as far as the value of the second number. | |||
For example, subtract <math>4</math> from <math>2</math> | |||
Here the first number is <math>2</math> and the second number is <math>4</math> ; both are positive. First, locate <math>2</math> on the number line. Then move <math>4</math> places to the left will give <math>-2</math>. | |||
Revision as of 08:23, 2 May 2024
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 figure, we can see a number line where integers are placed. Here, the positive and negative integers are placed on either side of the zero.
What is a Number Line?
A number line is a pictorial representation of numbers on a straight line. It’s a reference for comparing and ordering numbers. It can be used to represent any real number that includes every whole number and natural number.
Writing numbers on a number line make it easier to compare the numbers. From the above figure, we can see that the integers on the left side are smaller than the integers on the right side. For example, is less than , is less than , s less than , and so on.
Numbers on a Number Line
Arithmetic operations of numbers can be better explained on a number line. We must know to locate numbers on a number line. Zero is the middle point of a number line. All (natural numbers) positive numbers occupy the right side of the zero whereas negative numbers occupy the left side of zero on the number line. As we move on to the left side value of a number decreases. For example, is greater than . In a number line, integers, fractions, and decimals can also be represented easily.
Addition on Number Lines
When we add two positive numbers, the result will always be a positive number. Hence, on adding positive numbers direction of movement will always be to the right side.
For example, addition of and
Here the first number is and the second number is ; both are positive. First, locate on the number line. Then move places to the right will give .
Subtraction on Number Lines
When we subtract two positive numbers, move to the left as far as the value of the second number.
For example, subtract from
Here the first number is and the second number is ; both are positive. First, locate on the number line. Then move places to the left will give .