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प्रश्न
The rational numbers `1/2` and –1 are on the opposite sides of zero on the number line.
विकल्प
True
False
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उत्तर
This statement is True.
Explanation:
Since, positive rational number and negative rational number are on the opposite sides of zero on the number line.
Hence, `- 1/2` and –1 are on the opposite sides of zero on the number line.
APPEARS IN
संबंधित प्रश्न
Show the following numbers on a number line. Draw a separate number line for each example.
(1)`3/2 , 5/2 , -3/2`
(2)`7/5 , (-2)/5 , (-4)/5`
(3) `(-5)/8 , 11/8`
(4)`13/10 , (-17)/10`
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.
Show the following numbers on a number line. Draw a separate number line for the example.
`13/10 , (-17)/10`
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`.
Evaluate:
`2 + (-3)/5`
Draw a number line and mark
`2/3, (-8)/3, 7/3, (-2)/3 and -2`
Find the rational numbers represented by the question marks marked on the following number line
The rational number `7/(-4)` lies to the right of zero on the number line.
Write the following rational numbers in the descending order.
`8/7, (-9)/8, (-3)/2, 0, 2/5`
Find a rational number exactly halfway between:
`1/15` and `1/12`
