3.03 Converting between fractions and decimals
Write the number "fifty three hundredths" as a decimal.
Consider the following diagram:
What fraction of the row of blocks is shaded?
Write this fraction as a decimal.
What fraction of the row of blocks is not shaded?
Write this fraction as a decimal.
Consider the following diagram:
What fraction of the grid is shaded?
Write this fraction as a decimal.
What fraction of the grid is not shaded?
Write this fraction as a decimal.
Write the following fractions as decimals:
\dfrac{1}{10}
\dfrac{2}{10}
\dfrac{7}{10}
\dfrac{1}{100}
\dfrac{47}{100}
\dfrac{93}{100}
\dfrac{1}{1000}
\dfrac{6}{1000}
\dfrac{68}{1000}
\dfrac{111}{1000}
\dfrac{747}{1000}
\dfrac{954}{1000}
\dfrac{13}{10}
\dfrac{94}{10}
\dfrac{698}{100}
\dfrac{5527}{1000}
Write the following mixed numbers as decimals:
1\dfrac{1}{10}
9\dfrac{3}{10}
9\dfrac{65}{100}
7\dfrac{3}{25}
Complete the following conversion tables:
| Fraction | \dfrac{1}{10} | \dfrac{1}{100} | \dfrac{1}{1000} |
|---|---|---|---|
| Decimal | 0.1 |
| Fraction | \dfrac{1}{2} | \dfrac{1}{4} | \dfrac{3}{4} |
|---|---|---|---|
| Decimal | 0.5 |
| Fraction | \dfrac{1}{5} | \dfrac{1}{20} | \dfrac{1}{50} |
|---|---|---|---|
| Decimal |
| Fraction | \dfrac{2}{5} | \dfrac{3}{10} | \dfrac{7}{50} |
|---|---|---|---|
| Decimal |
Write the following fractions as decimals:
\dfrac{6}{12}
\dfrac{2}{5}
\dfrac{23}{50}
\dfrac{17}{25}
\dfrac{7}{20}
\dfrac{146}{200}
\dfrac{358}{500}
\dfrac{9}{4}
\dfrac{3}{2}
\dfrac{25}{20}
\dfrac{62}{50}
\dfrac{217}{25}
For each of the following, fill in the boxes with the missing numbers:
Write the following decimals as a simplified fraction. Express your answer in mixed form when necessary.
0.9
0.4
0.29
0.92
0.09
0.907
0.535
1.9
5.8
7.19
5.62
4.09
9.007
3.065
76.25
223.205
If 0.2 of a row of blocks is shaded, find the decimal number that represents the unshaded part of the row.
Write the fraction that is unshaded in simplest form.
If 0.72 of a grid is shaded, find the decimal number that represents the unshaded part of the grid.
Write the fraction that is unshaded in simplest form.