### Home > CC1 > Chapter 4 > Lesson 4.1.1 > Problem4-11

4-11.

Rewrite each decimal as a fraction or fraction as a decimal.

1. $0.007$

• Notice the place value of the decimal point.

What can you divide $7$ by to get $0.007$?

When you divide any number by $10, 100, 1000,$ etc., the decimal point moves to the left according to the number of zeros in the divisor.

$\frac{7}{1000}$

1. $0.103$

• Use the same method as in part (a).

$\frac{103}{1000}$

1. $1.21$

• Notice that 1.21 has a decimal point two decimal places to the left. Two decimal places refers to the hundredths place.

$\frac{121}{100}$

1. $\frac { 505 } { 1000 }$

• You can conclude from parts (a) and (c) that dividing by a number consisting of multiple zeros moves the decimal left a number of times equal to the amount of zeros.

$0.505$

1. $\frac { 505 } { 100 }$

• Notice that the number $100$ has two zeros.

1. $\frac { 2 } { 100000 }$

• How many zeros does the denominator have? How many times and in which direction should the decimal point move?