......................... ..------------------.. ..|.....|.....|.....|... ..0.....1...√4...3... ........................
take a no. line
No
18
Left of the 0 figure on the number line.
......................... ..------------------.. ..|.....|.....|.....|... ..0.....1...√4...3... ........................
Mark .75% of way from 0 to 1.
The point that is 3.15 units away from 0 on the positive side of the number line.
Draw a line, from 0, angled at 45 degrees to the number line. Let P be the point at 4.3 units along this line. Drop a perpendicular from P to the number line - to meet it at Q. Then OQ = sqrt(4.3). Repeat on the negative side of the number line.
take a no. line
Irrational numbers can be graphed at a number line, but only as an estimation.
From least to greatest: .....-4 -3 -2 -1 0 1 2 3 4..... etc
The same as you would a rational number. Its distance from zero will represent the number, whether it is rational or irrational.
No
18
Write two fractions that the point on the number line represent
It is a number that is approximately equal to 1.4142. Since it is an irrational number, any decimal representation must be an approximation. However, if you have a pair of compasses, it is not that difficult to mark sqrt(2) on the number line.Draw a line at 1 that is vertical to the number line.Put the compass point at 1, radius = distance from 1 to 0 and draw an arc to cut the vertical line at X.Put the compass point at 0, radius = distance from 0 to X and draw an arc. This will cut the number line at sqrt(2).