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प्रश्न
Find a rational number exactly halfway between:
`(-1)/3` and `1/3`
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उत्तर
We know that, a rational number, which is halfway between two rational number i.e. a and b = `(a + b)/2`
Given rational numbers are `(-1)/3` and `1/3`
Here, a = `-1/3` and b = `1/3`
∴ `(a + b)/2 = (-1/3 + 1/3)/2 = 0/2 = 0`
Hence, the exactly halfway between `-1/3` and `1/3` is 0 (zero).
APPEARS IN
संबंधित प्रश्न
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`.
Evaluate:
`5/9 + (-7)/6`
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
`9/4`
Draw a number line and represent the following rational numbers on it
`(-8)/3`
The rational numbers `1/3` and `(-1)/3`are on the ______ sides of zero on the number line.
`-3/4` is smaller than –2.
Arrange the numbers `1/4, 13/16, 5/8` in the descending order.
The rational numbers `(-12)/(-5)` and `(-7)/17` are on the opposite sides of zero on the number line.
