Math Problem Statement

My number has six hundred thousands, seven ones, two more hundreds than ones, half as many ten thousands as hundred thousands, two tens, and five thousands. What is my number?

Solution

Let's break down the clues to find your number:

  1. Six hundred thousands: This means the number has 6 in the hundred thousand place.

    So far, the number looks like: 6 _ _ _ _ _.

  2. Seven ones: This tells us that the ones digit is 7.

    Now, the number is: 6 _ _ _ _ 7.

  3. Two more hundreds than ones: Since the number has 7 ones, it has 7+2=97 + 2 = 9 hundreds.

    Now, the number is: 6 _ _ 9 _ 7.

  4. Half as many ten thousands as hundred thousands: Since there are 6 hundred thousands, there must be half as many ten thousands, which is 6÷2=36 \div 2 = 3 ten thousands.

    Now, the number is: 6 3 _ 9 _ 7.

  5. Two tens: This tells us that the tens digit is 2.

    Now, the number is: 6 3 _ 9 2 7.

  6. Five thousands: This means the number has 5 in the thousands place.

    Finally, the number is: 635927.

So, your number is 635,927.

Would you like more details or have any questions?

Here are five related questions to consider:

  1. How many digits are in a six-digit number?
  2. How do place values help in determining the structure of a number?
  3. Can you create a similar problem with different conditions?
  4. What is the value of the digit 3 in your final number?
  5. What would the number look like if the clue "two tens" was changed to "eight tens"?

Tip: When solving problems like this, it's helpful to write out the number in stages, filling in the digits as you figure out each clue!

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Math Problem Analysis

Mathematical Concepts

Place Value
Number Sense
Basic Arithmetic

Formulas

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Theorems

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Suitable Grade Level

Grades 4-6