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Moving along number line
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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.
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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.
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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.
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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.
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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.
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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
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