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Question
Show the number √7 on the number line.
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Solution
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.
RELATED QUESTIONS
Show the following numbers on a number line. Draw a separate number line for each example.
(1)`3/2 , 5/2 , -3/2`
(2)`7/5 , (-2)/5 , (-4)/5`
(3) `(-5)/8 , 11/8`
(4)`13/10 , (-17)/10`
Show the following numbers on a number line. Draw a separate number line for the example.
`13/10 , (-17)/10`
Evaluate:
`(-8)/9 + -5/12`
Find the rational numbers represented by the question marks marked on the following number line
Find the rational numbers represented by the question marks marked on the following number line
The rational number `57/23` lies to the left of zero on the number line.
The rational number `7/(-4)` lies to the right of zero on the number line.
The rational numbers can be represented on the number line.
Represent the following rational numbers on a number line:
`3/8, (-7)/3, 22/(-6)`
Find a rational number exactly halfway between:
`1/15` and `1/12`
