Math Problem Statement

Find the quotient. Write answer as decimals and show your work: 0.2430 ÷ 0.6

Solution

The problem asks to find the quotient of 0.2430÷0.60.2430 \div 0.6, and to write the answer as a decimal.

Step-by-step solution:

  1. Rewrite the division: 0.2430÷0.60.2430 \div 0.6

  2. Remove the decimals by multiplying both numbers by 10 to eliminate the decimal point in the divisor: 0.2430×100.6×10=2.4306\frac{0.2430 \times 10}{0.6 \times 10} = \frac{2.430}{6}

  3. Perform the division: 2.430÷6=0.4052.430 \div 6 = 0.405

Thus, the quotient is: 0.405\boxed{0.405}

Would you like more details or have any other questions?


Here are 5 related questions:

  1. What is 0.405×0.60.405 \times 0.6?
  2. How would you solve 0.405÷0.150.405 \div 0.15?
  3. What is 0.2430×100.2430 \times 10?
  4. How can you verify the result of 0.2430÷0.60.2430 \div 0.6?
  5. What would be the quotient of 0.405÷0.030.405 \div 0.03?

Tip: Always multiply both the numerator and the denominator by the same power of 10 to eliminate decimals during division.

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Math Problem Analysis

Mathematical Concepts

Division of decimals
Basic arithmetic

Formulas

Decimal division formula: a ÷ b

Theorems

Fundamental division of numbers

Suitable Grade Level

Grades 5-6