1. **Stating the problem:** We are given two rational numbers: 0.650 and \( \frac{13}{20} \). We need to determine which of the following statements is true:
1. \(0.650 > \frac{13}{20}\)
2. \(0.650 < \frac{13}{20}\)
3. \(0.650 = \frac{13}{20}\)
2. **Formula and approach:** To compare a decimal and a fraction, convert the fraction to a decimal or the decimal to a fraction. Here, we convert \( \frac{13}{20} \) to decimal by dividing numerator by denominator:
$$ \frac{13}{20} = 13 \div 20 $$
3. **Calculating the decimal value of \( \frac{13}{20} \):**
$$ 13 \div 20 = 0.65 $$
4. **Comparing the two numbers:**
Given decimal: 0.650
Fraction as decimal: 0.65
Note that 0.650 and 0.65 represent the same number because trailing zeros after the decimal point do not change the value.
5. **Conclusion:**
\(0.650 = 0.65 = \frac{13}{20}\)
Therefore, statement 3 is true.
**Final answer:** \(0.650 = \frac{13}{20}\)
Compare Rationals 97Eac1
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