A 100-square grid has 70 shaded squares. Explain how you could express this model as a fraction, percent, and decimal.

Answer 1

To express the model of a 100-square grid with 70 shaded squares in different formats, you can follow these steps:

1. 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.

   \[ \text{Fraction} = \frac{\text{Shaded squares}}{\text{Total squares}} = \frac{70}{100} \]

2. 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":

   \[ \text{Percent} = \left(\frac{70}{100}\right) \times 100 = 70% \]

3. 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: \(0.70\)