To express the model of a 100-square grid with 70 shaded squares, we can represent the shaded portion in three different ways: as a fraction, a percent, and a decimal.
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Fraction: The fraction of the shaded squares can be expressed as the number of shaded squares over the total number of squares. In this case, there are 70 shaded squares out of 100 total squares. So the fraction is: \[ \frac{70}{100} \] This fraction can be simplified if needed. In this case, both the numerator and denominator can be divided by 10: \[ \frac{70 \div 10}{100 \div 10} = \frac{7}{10} \]
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Percent: To convert the fraction to a percent, we can use the fact that the percent is simply the fraction multiplied by 100. Using the original fraction: \[ \frac{70}{100} \times 100 = 70% \] Thus, 70 shaded squares out of 100 squares is equivalent to 70%.
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Decimal: To convert the fraction to a decimal, we divide the numerator by the denominator: \[ \frac{70}{100} = 0.70 \] Therefore, the decimal representation of the shaded squares is 0.70.
In summary:
- As a fraction: \(\frac{70}{100}\) or simplified to \(\frac{7}{10}\)
- As a percent: 70%
- As a decimal: 0.70
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