Subjects arithmetic

Division Ratios

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Division Ratios


1. **Problem 6:** Divide 5,264 by 52 and write the quotient and remainder. 2. **Problem 7:** Divide 8,630 by 65 and write the quotient and remainder. 3. **Problem 8:** Determine if a bat flying at 85 miles per hour can fly 29,401 miles around Earth in less than 2 weeks. 4. **Problem 9:** Analyze the ratio relationship between circles and boxes in the diagram. --- ### Step 1: Divide 5,264 by 52 - Use division: $$5264 \div 52$$ - Calculate quotient: $$52 \times 101 = 5252$$ - Remainder: $$5264 - 5252 = 12$$ **Answer:** Quotient = 101, Remainder = 12 --- ### Step 2: Divide 8,630 by 65 - Use division: $$8630 \div 65$$ - Calculate quotient: $$65 \times 132 = 8580$$ - Remainder: $$8630 - 8580 = 50$$ **Answer:** Quotient = 132, Remainder = 50 --- ### Step 3: Bat flying problem - Speed = 85 miles/hour - Distance = 29,401 miles - Time to fly: $$\text{time} = \frac{\text{distance}}{\text{speed}} = \frac{29401}{85} \approx 345.9 \text{ hours}$$ - Convert hours to days: $$\frac{345.9}{24} \approx 14.4 \text{ days}$$ - Two weeks = 14 days Since 14.4 days is slightly more than 14 days, the bat would take just over 2 weeks. **Answer:** Disagree with Yuna; it would take slightly more than 2 weeks. --- ### Step 4: Ratio relationship analysis - Diagram shows 4 groups: 4 circles, 4 boxes, 4 circles, 4 boxes - Total circles: $$4 + 4 = 8$$ - Total boxes: $$4 + 4 = 8$$ Check each statement: A. For every 4 boxes, there are 12 circles. - False, ratio is 8 circles to 8 boxes, or 1:1. B. For every 4 boxes, there are 3 circles. - False, ratio is 1:1. C. For every 4 circles, there are 3 boxes. - False, ratio is 1:1. D. For every 3 circles, there is 1 box. - False, ratio is 1:1. E. For every 1 box, there are 3 circles. - False, ratio is 1:1. **Answer:** None of the statements accurately describe the ratio shown.