Math Problem Statement

It can be rounded to 5,670 to the nearest 10. It can be rounded to 5,700 to the nearest 100. It can be rounded to 6,000 to the nearest 1,000. It has at least 8 ones. It is an odd number.

what is the number?

Solution

Let's break down the clues to solve for the number:

  1. It can be rounded to 5,670 to the nearest 10:

    • The number must be between 5,665 and 5,674 (since these numbers round to 5,670 when rounded to the nearest 10).
  2. It can be rounded to 5,700 to the nearest 100:

    • The number must be between 5,650 and 5,749 (since these numbers round to 5,700 when rounded to the nearest 100).
  3. It can be rounded to 6,000 to the nearest 1,000:

    • The number must be between 5,500 and 6,499 (since these numbers round to 6,000 when rounded to the nearest 1,000).
  4. It has at least 8 ones:

    • The number must end in 8 or more ones.
  5. It is an odd number:

    • The number must end in 1, 3, 5, 7, or 9.

Solving:

  • From the clues, the number must be between 5,665 and 5,674.
  • The only odd number in this range is 5,671.

Conclusion:

The number is 5,671.

Would you like further details or have any questions?

Here are 5 related questions:

  1. How does rounding work for different place values?
  2. What is the importance of odd and even numbers?
  3. How do you determine rounding to the nearest 1,000 or 100?
  4. Can you explain place values and digit importance in numbers?
  5. How would this problem change if the number were even?

Tip: Always check each rounding rule carefully to avoid missing small ranges of numbers that fit the conditions.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Rounding numbers
Place value
Odd and even numbers

Formulas

Rounding rules: nearest 10, nearest 100, nearest 1,000

Theorems

Place value system
Rounding theorem

Suitable Grade Level

Grades 4-6