QQuestionMathematics
QuestionMathematics
Explain how 32 divided by 4 can help you solve 320 divided by 4.
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Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Understand the Relationship
32 \div 4 = 8
Let's first look at the division of 32 by 4:
Step 3:: Observe the Pattern
320 = 32 \times 10
Notice that 320 is exactly 10 times larger than 32:
Step 4:: Apply the Multiplication Principle
320 \div 4 = (32 \times 10) \div 4
Since 32 divided by 4 is 8, we can use this to solve 320 divided by 4:
Step 5:: Rearrange the Calculation
(32 \div 4) \times 10 = 8 \times 10
We can rearrange this as:
Step 6:: Perform the Final Calculation
8 \times 10 = 80
Final Answer
Key Insight: When dividing a number by 4, you can break it down into a known division (32 ÷ 4) and then multiply the result by the appropriate factor (in this case, 10).
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