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प्रश्न
Find the rational numbers represented by the question marks marked on the following number line
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उत्तर
The required number lies between 1 and 2.
The unit part between 1 and 2 is divided into 4 equal parts and the third part is taken.
∴ The required number is `1 3/4 = 7/4`
APPEARS IN
संबंधित 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.
Show the following numbers on a number line. Draw a separate number line for the example.
`3/2 , 5/2 , -3/2`
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`
Evaluate:
`5/(-11) + 0`
Draw a number line and represent the following rational numbers on it
`(-8)/3`
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`
