To express the model of a 100-square grid with 70 shaded squares in different formats, you can follow these steps:
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Fraction: To express the shaded squares as a fraction, you take the number of shaded squares and place it over the total number of squares.
\[ \text{Fraction} = \frac{\text{Shaded squares}}{\text{Total squares}} = \frac{70}{100} \]
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Percent: To convert the fraction to a percentage, you multiply the fraction by 100. This can also be done by recognizing that a percent means "per hundred":
\[ \text{Percent} = \left(\frac{70}{100}\right) \times 100 = 70% \]
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Decimal: To express the fraction as a decimal, you divide the numerator by the denominator:
\[ \text{Decimal} = \frac{70}{100} = 0.70 \]
In summary, the model can be expressed as follows:
- Fraction: \(\frac{70}{100}\)
- Percent: \(70%\)
- Decimal: \(0.70\)
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