Advertisements
Advertisements
Question
The rational numbers can be represented on the number line.
Options
True
False
Advertisements
Solution
This statement is True.
APPEARS IN
RELATED QUESTIONS
Write five rational numbers which are smaller than 2.
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)`
Find the rational numbers represented by the question marks marked on the following number line
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.
Find a rational number exactly halfway between:
`1/6` and `1/9`
Find a rational number exactly halfway between:
`1/15` and `1/12`
Find the odd one out of the following and give reason.
