Math Problem Statement
Division of whole number by Decimal
Solution
To divide a whole number by a decimal, follow these steps:
Example: Divide
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Convert the decimal into a whole number: Multiply both the divisor () and the dividend () by the same power of 10 to eliminate the decimal. Now the problem becomes:
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Perform the division: Divide the new dividend by the new divisor.
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Conclusion:
General Steps:
- Multiply both the dividend and divisor by 10 (or higher power) to eliminate the decimal in the divisor.
- Perform regular division with the new whole numbers.
- Simplify the result, if necessary.
Would you like a detailed example with another set of numbers or a step-by-step practice problem? Let me know!
5 Questions to Expand:
- How do you handle division when both numbers are decimals?
- What happens if the divisor is a very small decimal (e.g., )?
- How can this method be applied to real-world problems involving measurements?
- Can you demonstrate this with a visual representation or a number line?
- How do you ensure accuracy when dividing large numbers by decimals?
Tip:
Always double-check by multiplying your answer by the divisor to confirm it matches the original dividend.
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Math Problem Analysis
Mathematical Concepts
Division
Decimal Arithmetic
Multiplication
Formulas
To divide a whole number by a decimal: Multiply both the divisor and the dividend by the same power of 10 to eliminate the decimal, then perform standard division.
Theorems
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Suitable Grade Level
Grades 6-8
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