Here’s a clear example and explanation to include in your reporting about division of whole numbers with decimals:

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Example 1: Dividing a Whole Number by a Decimal to Get a Decimal Result

Problem:

Divide $24 \div 0.6$.

Step-by-Step Explanation:

1. Rewrite the Problem to Eliminate the Decimal in the Divisor: Multiply both the dividend (24) and the divisor (0.6) by 10. This simplifies the division by turning the divisor into a whole number: $(24 \div 0.6) = (240 \div 6)$

2. Perform the Division: Divide $240$ by $6$: $240 \div 6 = 40$

3. Interpret the Result: The quotient is $40$. Thus: $24 \div 0.6 = 40$

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Example 2: Dividing a Whole Number by a Decimal to Get a Whole Number and Decimal Result

Problem:

Divide $35 \div 1.2$.

Step-by-Step Explanation:

1. Rewrite the Problem to Eliminate the Decimal in the Divisor: Multiply both the dividend (35) and the divisor (1.2) by 10. This simplifies the division: $(35 \div 1.2) = (350 \div 12)$

2. Perform the Division: Divide $350$ by $12$. Perform the long division:

   • $350 \div 12 = 29.1667$ (approximately).

3. Interpret the Result: The quotient is approximately $29.17$. Thus: $35 \div 1.2 \approx 29.17$

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Tips for Reporting

1. Always clarify how decimals in the divisor are removed for simplicity.
2. Show the multiplication factor used to eliminate the decimals.
3. Use long division when necessary for detailed explanation.
4. Clearly round answers to the required decimal places if the result is not exact.
5. Provide visual aids, like charts or tables, for step-by-step guidance in calculations.

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Do you want me to format these examples further or provide visual explanations?

Here are some relative expansion questions:

1. What is the importance of removing decimals from the divisor in division problems?
2. How can this approach be applied to mixed decimals in both dividend and divisor?
3. Are there other methods to simplify division with decimals apart from multiplication?
4. How can this method be adjusted for large or very small numbers?
5. What strategies can be used to check the accuracy of the quotient?

Tip: Always double-check the position of the decimal point when multiplying or dividing by powers of 10 to avoid errors.