Math Problem Statement

Write the following

Round the following to 2 decimal places (2dp): 3.651, 11.667, 25.5051, 521.134, 98.609, 63.125920, 53.9899

Solution

Let's round each of these numbers to two decimal places (2dp) step by step:

  1. 3.651 → The third decimal place is 1 (less than 5). So, 3.65 remains unchanged.
    Answer: 3.65

  2. 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

  3. 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

  4. 521.134 → The third decimal place is 4 (less than 5). So, 521.13 remains unchanged.
    Answer: 521.13

  5. 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

  6. 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

  7. 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:

  1. How do you determine whether to round up or down when rounding to two decimal places?
  2. Why does a "5" in the third decimal place cause the second decimal place to increase?
  3. Can you explain how rounding affects precision in calculations?
  4. What are some real-world applications of rounding numbers?
  5. 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