Question

Express the location of the point on the number line as both a fraction and a decimal. A number line that has moving left to right, a starting mark at 0, nine unlabeled tick marks, a tick mark labeled one-tenth, nine unlabeled tick marks, a tick mark labeled two-tenths, nine unlabeled tick marks, and an ending tick mark at three-tenths. There is a dot at the seventh tick mark to the right of two-tenths.

Answer 1

• 27/100
• 0.27

Explanation:

The nine unlabeled tick marks on the number line between 0.2 and 0.3 divide that interval into 10 equal parts, each having a width of (.3 -.2)/10 = 0.01.

The seventh tick mark will add the value 0.01×7 = 0.07 to the value of the left end of the interval. That is, the seventh tick mark in the interval 0.2 to 0.3 has the value 0.27.

Expressed as a fraction, that decimal value 0.27 is 27/100. (Either way, it is pronounced "twenty-seven hundredths.")