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Question
Show the following numbers on a number line. Draw a separate number line for the example.
`7/5 , (-2)/5 , (-4)/5`
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Solution
`7/5, -2/5, -4/5` can be represented on the number line as follows:
Here, the denominator of each fraction is 5.
∴ Each unit will be divided into 5 equal parts.
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`.
Evaluate:
`5/(-11) + 0`
Find the rational numbers represented by the question marks marked on the following number line
The points S, Y, N, C, R, A, T, I and O on the number line are such that CN = NY = YS and RA = AT = TI = IO. Find the rational numbers represented by the letters Y, N, A, T and I
Draw a number line and represent the following rational numbers on it
`(-17)/(-5)`
The rational number `7/(-4)` lies to the right of zero on the number line.
The rational number `(-3)/4` lies to the right of zero on the number line.
Find a rational number exactly halfway between:
`1/15` and `1/12`
Find the odd one out of the following and give reason.
