Advertisements
Advertisements
Question
Evaluate:
`2 + (-3)/5`
Advertisements
Solution
`2/1 - 3/5`
(LCM of 1 and 5 = 5)
`= (2xx5)/(1xx5) - (3xx1)/(5xx1)`
`= (10-3)/5 = 7/5 = 1 2/5`
APPEARS IN
RELATED QUESTIONS
Represent `(-2)/11, (-5)/11, (-9)/11` on the number line.
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.
`(-5)/8 , 11/8`
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 √7 on the number line.
Evaluate:
`1/(-15) + 5/(-12)`
Evaluate:
`4/(-9) + 1`
The rational numbers `1/2` and `- 5/2` are on the opposite sides of 0 on the number line.
Arrange the numbers `1/4, 13/16, 5/8` in the descending order.
On a number line, `4/3` is to the ______ of zero (0).
