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Question
The rational numbers `1/2` and `- 5/2` are on the opposite sides of 0 on the number line.
Options
True
False
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Solution
This statement is True.
Explanation:
Positive rational number and negative rational number remain on opposite sides of zero on the number line.
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RELATED QUESTIONS
Observe the number line and answer the questions.
- Which number is indicated by point B?
- Which point indicates the number `1 3/4`?
- State whether the statement ‘the point D denotes the number `5/2`’ is true or false.
The number `sqrt2` is shown on a number line. Steps are given to show `sqrt3` on the number line using `sqrt2`. Fill in the boxes properly and complete the activity.
Activity :
- The point Q on the number line shows the number ______.
- A line perpendicular to the number line is drawn through the point Q. Point R is at unit distance from Q on the line.
- Right angled ∆ORQ is obtained by drawing seg OR.
`l ("OQ") = sqrt2` , `l("QR") = 1`
`therefore` by Pythagoras theorem,
`[l("OR")]^2 = [l("OQ")]^2 + [l("QR")]^2 `
= `square^2`+ `square^2` = `square` + `square`
= `square`
∴ l(OR) = `square`
Draw an arc with centre O and radius OR. Mark the point of intersection of the line and the arc as C. The point C shows the number `sqrt3`.
Show the number √5 on the number line.
Evaluate:
`5/(-11) + 0`
Evaluate:
`2 + (-3)/5`
Draw a number line and mark
`2/3, (-8)/3, 7/3, (-2)/3 and -2`
Draw a number line and represent the following rational numbers on it
`15/(-4)`
The rational number `7/(-4)` lies to the right of zero on the number line.
Arrange the numbers `1/4, 13/16, 5/8` in the descending order.
Write the following rational numbers in the descending order.
`8/7, (-9)/8, (-3)/2, 0, 2/5`
