Advertisements
Advertisements
Question
The rational numbers `(-12)/(-5)` and `(-7)/17` are on the opposite sides of zero on the number line.
Options
True
False
Advertisements
Solution
This statement is True.
Explanation:
Given rational numbers are `(-12)/(-15)` i.e. `12/15` and `(-7)/17`
Hence, it is true, that rational numbers `12/15` and `(-7)/17` are on the opposite sides of zero on the number line as one is negative and one is positive.
APPEARS IN
RELATED QUESTIONS
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.
`7/5 , (-2)/5 , (-4)/5`
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:
`(-8)/9 + -5/12`
The rational numbers `1/3` and `(-1)/3`are on the ______ sides of zero on the number line.
The rational number `(-8)/(-3)` lies neither to the right nor to the left of zero on the number line.
The rational numbers `1/2` and –1 are on the opposite sides of zero on the number line.
On a number line, `4/3` is to the ______ of zero (0).
Find a rational number exactly halfway between:
`1/6` and `1/9`
