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प्रश्न
Show the number √7 on the number line.
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उत्तर
To represent √7 on the number line, use the following construction:
- Draw a number line and mark the points O(0), A(2), and B(3).
- At point A, draw a perpendicular line AC of length √3 units.
- Join O to C. By the Pythagorean theorem,
`OC = sqrt(2^2 + (sqrt3)^2)`
`=sqrt(4+3)`
`=sqrt7` - With O as the centre and radius OC, draw an arc that cuts the number line at point P.
- The point P represents the number √7 on the number line.
Since √7 ≈ 2.646, it lies between 2 and 3 on the number line.
संबंधित प्रश्न
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.
`3/2 , 5/2 , -3/2`
Evaluate:
`0 + (-2)/7`
Evaluate:
`2 + (-3)/5`
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`
The rational number `(-8)/(-3)` lies neither to the right nor to the left of zero on the number line.
The rational numbers `(-12)/(-5)` and `(-7)/17` 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`
