Math Problem Statement
Solution
The image shows a set of math problems involving measurements and operations on numbers, specifically addition, subtraction, multiplication, and division. The instruction in Indonesian asks to calculate the sum and the difference between the two measurements for each pair of values while following significant figure rules and expressing all measurements in meters.
Let's break down the tasks one by one:
1. First Column (Addition):
Sum:
Result with significant figures: Since the least precise value (5.678) has three decimal places, we round the result to three decimal places:
2. Second Column (Addition):
Sum:
Result with significant figures: The least precise value (1.887) has three decimal places, so we round the result to three decimal places:
3. Third Column (Subtraction):
Difference:
Result with significant figures: The least precise value (3.23) has two decimal places, so we round the result to two decimal places:
4. Fourth Column (Subtraction):
Difference:
Result with significant figures: The least precise value (7.998) has three decimal places, so we round the result to three decimal places:
5. Fifth Column (Multiplication):
Product:
Result with significant figures: The least precise value (0.11) has two significant figures, so the result is rounded to two significant figures:
6. Sixth Column (Multiplication):
Product:
Result with significant figures: The least precise value (0.23) has two significant figures, so the result is rounded to two significant figures:
7. Seventh Column (Division):
Quotient:
Result with significant figures: The least precise value (0.33) has two significant figures, so the result is rounded to two significant figures:
8. Eighth Column (Division):
Quotient:
Result with significant figures: The least precise value (0.314) has three significant figures, so the result remains:
Let me know if you want further details or explanations!
Here are five related questions to expand your understanding:
- How do you determine the number of significant figures in an addition or subtraction problem?
- Why is it important to round to the least precise measurement in multiplication and division?
- Can you explain the difference between significant figures and decimal places?
- What happens if one of the values in the problem is exact (e.g., a counting number)?
- How would rounding errors impact real-life measurements?
Tip:
Always remember to round your final result based on the least number of significant figures in any of the values involved in the operation!
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Math Problem Analysis
Mathematical Concepts
Addition
Subtraction
Multiplication
Division
Significant Figures
Formulas
Addition: a + b
Subtraction: a - b
Multiplication: a × b
Division: a ÷ b
Theorems
Significant Figures Rule
Suitable Grade Level
Grades 10-12
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