Moving along number line
Negative numbers on the number line Zero Negative integers Positive integers The numbers –1, –2, –3, … (to the left of zero) are called negative integers The numbers 1, 2, 3,… (to the right of zero) as positive integers. The new set of numbers …, -3, -2, -1, 0, 1, 2, 3,… are called Integers. ‘–’ symbol in front of a number is read as 'negative' or 'minus'. For example, –5 is read as negative 5 or minus 5. A number without a sign is considered as a positive number. For example, 5 is considered as +5.
When we move towards the right on the number line, Left - Numbers smaller Right - Numbers larger When we move towards the right on the number line, the numbers become larger. When we move towards the left on the number line, the numbers become smaller.
We know as we move to the right number becomes larger Example1:- Using the number line, write the integer which is 5 more than −6. 1 2 3 4 5 Solution: We know as we move to the right number becomes larger So to find 5 more than −6 , we have to start at −6 and move 5 units to its right to reach −1 as shown in the figure.
We know as we move to the left number becomes smaller Example2:- Using the number line, write the integer which is 4 less than of -2. 1 2 3 4 Solution: We know as we move to the left number becomes smaller So to find 4 less than −2 , we have to start at 4 and move 4 units to its left to reach −6 as shown in the figure.
to reach −2 as shown in the figure. Example3:- Using the number line, write the integer which is 5 units to the right of -7. 1 2 3 4 5 Solution: So to find 5 units to the right of -7, we have to start at -7 and move 5 units to its right to reach −2 as shown in the figure.
Try these Using the number line, write the integer which is 6 more than -10. Using the number line, write the integer which is 3 units to the left of -6