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प्रश्न
Evaluate:
`5/9 + 3/-4`
उत्तर
`5/9 - 3/4`
| 2 | 9, 4 |
| 2 | 9, 2 |
| 3 | 9, 1 |
| 3 | 3, 1 |
| 1,1 |
(LCM of 9 and 4 = 2 x 2 x 3 x 3 = 36)
= `(5xx4)/(9xx4) - (3xx9)/(4xx9)`
= `(20-27)/36 = (-7)/36`
(LCM of 9 and 4 = 36)
= `(-7)/36`
APPEARS IN
संबंधित प्रश्न
Write five rational numbers which are smaller than 2.
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.
`13/10 , (-17)/10`
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`.
Show the number √5 on the number line.
Evaluate:
`1/(-15) + 5/(-12)`
The rational number `57/23` lies to the left of zero on the number line.
On a number line, `(-1)/2` is to the ______ of zero (0).
Represent the following rational numbers on a number line:
`3/8, (-7)/3, 22/(-6)`
Find a rational number exactly halfway between:
`5/(-13)` and `(-7)/9`
