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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
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.
`3/2 , 5/2 , -3/2`
Show the following numbers on a number line. Draw a separate number line for the example.
`13/10 , (-17)/10`
Evaluate:
`4 + 3/(-5)`
Evaluate:
`2 + (-3)/5`
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, `(-1)/2` is to the ______ of zero (0).
The rational numbers `(-12)/(-5)` and `(-7)/17` are on the opposite sides of zero on the number line.
Represent the following rational numbers on a number line:
`3/8, (-7)/3, 22/(-6)`
