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प्रश्न
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.
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उत्तर
Here, each unit is divided into 4 parts.
∴ the denominator will be 4.
(1) Point B is on the 10th equal part on the left side of point O.
∴ B is `(-10)/4`.
(2) `1 3/4 = (4 xx 1 + 3)/4 = (4 + 3)/4 = 7/4`
Here, Point C is marked on the 7th equal part on the right side of point O.
∴ Point C indicates `1 3/4`.
(3) `5/2 = (5 xx 2)/(2 xx 2) = 10/4` True
Point D is marked on the 10th equal part on the right side of O.
∴ D denotes the number `10/4 = 5/2`
संबंधित प्रश्न
Show the following numbers on a number line. Draw a separate number line for the example.
`(-5)/8 , 11/8`
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:
`(-8)/9 + -5/12`
Show the following numbers on a number line.
`7/3, 2, (-2)/3`
Find the rational numbers represented by the question marks marked on the following number line
Find the rational numbers represented by the question marks marked on the following number line
The rational numbers `1/2` and –1 are on the opposite sides of zero on the number line.
On a number line, `(-1)/2` is to the ______ of zero (0).
Find a rational number exactly halfway between:
`1/15` and `1/12`
Find the odd one out of the following and give reason.
