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Question
Write five rational numbers which are smaller than 2.
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Solution
2 can be represented as `14/7`
Therefore, five rational numbers smaller than 2 are `13/7, 12/7,11/7,10/7,9/7`
RELATED QUESTIONS
Represent these numbers on the number line
`7/4`
Represent these numbers on the number line.
`-5/6`
Show the following numbers on a number line. Draw a separate number line for the example.
`3/2 , 5/2 , -3/2`
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:
`1/(-15) + 5/(-12)`
Evaluate:
`0 + (-2)/7`
Evaluate:
`5/(-11) + 0`
Evaluate:
`2 + (-3)/5`
Draw a number line and mark
`2/3, (-8)/3, 7/3, (-2)/3 and -2`
Find a rational number exactly halfway between:
`(-1)/3` and `1/3`
