Decimal Division Error Bed0A8

1. **Problem Statement:** Tara claims that dividing $42.485$ by $1.45$ gives $2.93$. We need to check if this is correct and describe any mistake. 2. **Understanding Division:** When dividing decimals, we can eliminate decimals by multiplying both divisor and dividend by the same power of 10. 3. **Convert the division:** $$42.485 \div 1.45 = \frac{42.485}{1.45}$$ Multiply numerator and denominator by 100 to remove decimals: $$\frac{42.485 \times 100}{1.45 \times 100} = \frac{4248.5}{145}$$ 4. **Perform long division:** Divide $4248.5$ by $145$. 5. **Estimate quotient:** $145 \times 29 = 4205$ which is close to $4248.5$. 6. **Calculate remainder:** $4248.5 - 4205 = 43.5$ 7. **Calculate decimal part:** Bring down zero to get $435$. Divide $435$ by $145$: $145 \times 3 = 435$ 8. **Final quotient:** $29.3$ 9. **Compare with Tara's answer:** Tara's answer was $2.93$, but the correct quotient is $29.3$. 10. **Describe Tara's mistake:** Tara likely misplaced the decimal point in the quotient, writing $2.93$ instead of $29.3$. **Final answer:** Tara's mistake is a decimal point placement error; the correct quotient is $29.3$, not $2.93$.