Question

On a number line, where would 2/10 be located ? Choose all answers that make a true statementA. To the right of 1/10B. To the left of the 4/10C. To the right of 3/10D. In the same place as 1/4

Answer 1

Note that on a number lne the numbers are marked in increasing order from left to right.

Consider that 2/10 equals 0.20 in decimal form.

Convert the remaining fractions to decimal forms,

`\begin{gathered} (1)/(10)=0.10 \\ (4)/(10)=0.40 \\ (3)/(10)=0.30 \\ (1)/(4)=0.25 \end{gathered}`

A.

The number 0.20 is greater than 0.10, so the number 0.20 lies to the right of 0.10

So the given statement is true.

B.

The number 0.20 is less than 0.40, so the number 0.20 lies to the left of 0.40

So the given statement is true.

C.

The number 0.20 is less than 0.30, so the number 0.20 lies to the left of 0.30

This contradicts with the given statement. So the given statement is false.

D.

The number 0.20 is less than 0.25, so the number 0.20 lies to the left of 0.25

This contradicts with the given statement. So the given statement is false.