Multiply or divide as indicated. 32.48 ÷ 11.6

Verified step by step guidance

1. Identify the operation: The problem asks to divide 32.48 by 11.6, so we will perform the division \( \frac{32.48}{11.6} \).
2. To simplify the division of decimals, multiply both the numerator and the denominator by 10 to eliminate the decimal in the denominator. This gives \( \frac{32.48 \times 10}{11.6 \times 10} = \frac{324.8}{116} \).
3. Now, perform the division \( \frac{324.8}{116} \) by dividing 324.8 by 116 using long division or a calculator.
4. Express the quotient as a decimal number, which will be the result of the division.
5. If needed, simplify the decimal or convert it to a fraction for the final answer.

Key Concepts

Division of Decimal Numbers

Dividing decimal numbers involves determining how many times the divisor fits into the dividend. It requires aligning the decimal points properly and sometimes converting the divisor into a whole number by multiplying both numbers by the same power of 10.

Decimal Point Placement

When dividing decimals, the decimal point in the quotient is placed directly above its position in the dividend after adjusting the divisor to a whole number. Correct placement ensures the accuracy of the result.

Simplifying the Division

Before performing the division, it can be helpful to simplify the problem by eliminating decimals through multiplication by powers of 10. This transforms the division into one involving whole numbers, making calculations easier.