Question

representing bench mark fractions in a number line

Answer 1

Answer:

A = 1/8

B = 1/4

C = 5/8

D = 7/8

Step-by-step explanation:

We have a number line between 0 and 1.

First we look at it into two equal intervals. One between 0 and 1/2, and the other between 1/2 and 1.

1/2 is the point before C.

Now we look between 0 and 1/2.

B is the midpoint of this segment.

So B is 1/2*(1/2) = 1/4

A is the midpoint between 0 and B, so 1/2*(1/4) = 1/8

C is the midpoint between 1/2 and 3/4

So

$C-\frac{1}{2}=\frac{3}{4}-C$$2C=\frac{3}{4}+\frac{1}{2}$$2C=\frac{3}{4}+\frac{2}{4}$$2C=\frac{5}{4}$$C=\frac{5}{4}\ast\frac{1}{2}=\frac{5}{4\ast2}=\frac{5}{8}$

D is the midpoint between 3/4 and 1. So

$D-\frac{3}{4}=1-D$$2D=1+\frac{3}{4}$$2D=\frac{4}{4}+\frac{3}{4}$$2D=\frac{7}{4}$$D=\frac{7}{4}\ast\frac{1}{2}=\frac{7}{8}$