Math Problem Statement
Write the following
Solution
Let's round each of these numbers to two decimal places (2dp) step by step:
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3.651 → The third decimal place is 1 (less than 5). So, 3.65 remains unchanged.
Answer: 3.65 -
11.667 → The third decimal place is 7 (greater than or equal to 5). So, the second decimal place increases by 1.
Answer: 11.67 -
25.5051 → The third decimal place is 5 (greater than or equal to 5). So, the second decimal place increases by 1.
Answer: 25.51 -
521.134 → The third decimal place is 4 (less than 5). So, 521.13 remains unchanged.
Answer: 521.13 -
98.609 → The third decimal place is 9 (greater than or equal to 5). So, the second decimal place increases by 1.
Answer: 98.61 -
63.125920 → The third decimal place is 5 (greater than or equal to 5). So, the second decimal place increases by 1.
Answer: 63.13 -
53.9899 → The third decimal place is 9 (greater than or equal to 5). So, the second decimal place increases by 1.
Answer: 53.99
Final Results:
- 3.65
- 11.67
- 25.51
- 521.13
- 98.61
- 63.13
- 53.99
Would you like any further explanations or details?
Follow-up Questions:
- How do you determine whether to round up or down when rounding to two decimal places?
- Why does a "5" in the third decimal place cause the second decimal place to increase?
- Can you explain how rounding affects precision in calculations?
- What are some real-world applications of rounding numbers?
- Could you explain why rounding is different from truncating?
Tip:
Always double-check your rounding decisions by focusing on the digit immediately after the desired decimal place!
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Math Problem Analysis
Mathematical Concepts
Rounding Numbers
Decimal Places
Formulas
Rounding rule: If the digit after the desired decimal place is 5 or greater, round up; otherwise, round down.
Theorems
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Suitable Grade Level
Grades 5-7