Advertisements
Advertisements
प्रश्न
Show the number √7 on the number line.
Advertisements
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
Show the following numbers on a number line. Draw a separate number line for the example.
`3/2 , 5/2 , -3/2`
Show the following numbers on a number line. Draw a separate number line for the example.
`(-5)/8 , 11/8`
Show the following numbers on a number line. Draw a separate number line for the example.
`13/10 , (-17)/10`
Evaluate:
`5/9 + (-7)/6`
Evaluate:
`2 + (-3)/5`
Draw a number line and mark
`2/3, (-8)/3, 7/3, (-2)/3 and -2`
Find the rational numbers represented by the question marks marked on the following number line
The rational numbers can be represented on the number line.
On a number line, `4/3` is to the ______ of zero (0).
The rational number `(-3)/4` lies to the right of zero on the number line.
