Locating and representing a fraction as a precise point on a number line by dividing the unit interval into equal parts.
Divide the space between 0 and 1 into equal parts. 43 means go 3 of the 4 equal parts from 0.
Showing a random 20 of 50 problems.
Example 1
easy
On a number line split into eighths from 0 to 1, what fraction is halfway, at the 4th mark?0 to 1 in eighths; what fraction is the 4th (middle) mark?
Example 2
easy
The segment from 0 to 1 is split into 4 equal parts. Where is 43?0 to 1 in fourths; the 3rd mark is 3/4
Example 3
easy
Is 21 to the left or right of 41 on a number line?
Example 4
easy
What number is at the 2nd mark on a 0-to-1 line split into thirds (using improper form if needed)?0 to 1 in thirds; what fraction is the 2nd mark?
Example 5
hard
Which is greater on the number line: 127 or 85?
Example 6
medium
On a number line from 0 to 2 split into fourths, locate 45.0 to 2 in fourths; the 5th tick is 5/4 = 1 and 1/4
Example 7
medium
A line runs 0 to 3, split into halves. What mixed number is at the 5th mark?0 to 3 in halves (6 parts); what mixed number is the 5th mark?
Example 8
medium
Between 1 and 2, a line is split into thirds. What fraction is the 1st mark after 1?1 to 2 in thirds; what fraction is the first mark after 1?
Example 9
medium
Point P is 32 unit to the right of 61. What is the position of P?Start at 1/6, move 2/3 to the right — where does P land?
Example 10
easy
On a 0-to-2 number line split into eighths, where is 811?0 to 2 in eighths; the 11th tick is 11/8, between 1 and 2
Example 11
hard
Point X is at 103 and point Y is at 107 on a number line. What point splits XY into thirds, closer to X?X = 3/10, Y = 7/10; find the point 1/3 of the way from X toward Y
Example 12
easy
Order these by left-to-right position: 41, 0, 43.0, 1/4, and 3/4 plotted left to right on the number line
Example 13
medium
On a 0-to-1 number line split into eighths, which tick equals 43?0 to 1 in eighths; 3/4 = 6/8 is the 6th tick
Example 14
medium
Place 52 on a number line. Between which two consecutive halves (0, 21, 1) does it fall?2/5 lies between 0 and 1/2 on the number line
Example 15
challenge
On a number line from 0 to 1, four equally spaced points lie strictly between 51 and 54. What are their positions?
Example 16
medium
A point sits exactly halfway between 41 and 43. What fraction is it?What fraction is exactly halfway between 1/4 and 3/4?
Example 17
medium
Point A is at 41 and point B is at 85 on a number line. What is the distance from A to B?Points A = 1/4 and B = 5/8; find the distance from A to B
Example 18
hard
A number line from 0 to 1 is divided into 20 equal parts. Which tick(s) coincide with 52 and 43?
Example 19
medium
Point Q is 41 unit to the left of 32 on the number line. Find Q.Q is 1/4 to the left of 2/3 — find Q
Example 20
easy
Between which two whole numbers is 37 on the number line?