Question

se the number line to answer the question.


A number line has end points marked at 5 tenths and 6 tenths with 9 tick marks between. Point A is labeled on the third mark after 5 tenths.


Select all of the following that give the value of point A.


A.

53

100

B.

5

3

100

C.

53

10

D.

0.53


E.

5.3

Answer 1

Answer:

$\sf 0.53\quad and \quad \dfrac{53}{100}$

Step-by-step explanation:

Convert the end points to decimals:

$\textsf{5 tenths}=\dfrac{5}{10}=5 \div 10=0.5$

$\textsf{6 tenths}=\dfrac{6}{10}=6\div 10=0.6$

If the number line has 9 tick marks between the endpoints, there will be 10 equal spaces (see attachment), so the tick marks denote hundredths.

The difference between 0.6 and 0.5 = 0.1

Divide this by 10:   0.1 ÷ 10 = 0.01

Therefore, each tick mark on the number line denotes hundredths and is 0.01 greater than the previous tick mark.

If Point A is labeled on the third mark after 5 tenths then:

A = 0.5 + 0.01 + 0.01 + 0.01 = 0.53

0.53 as a fraction:

$\implies 0.53 = \dfrac{0.53}{1}=\dfrac{0.53 \times 100}{1 \times 100}=\dfrac{53}{100}$

Therefore, point A is:

$\sf 0.53\quad and \quad \dfrac{53}{100}$