I am a four digit number. My tens digit is a 0. My ones digit is an odd number that is less then my hundrads digit. If you multiply me by 5, the estimated produt is 20,000. What number am i?
To find the number, let's break down the given information:
1. The number is a four-digit number.
2. The tens digit is 0.
3. The ones digit is an odd number, which means it can be either 1, 3, 5, 7, or 9.
4. The ones digit is less than the hundreds digit.
5. When you multiply the number by 5, the estimated product is 20,000.
Let's go step by step to find the number:
1. The tens digit is 0.
2. The ones digit is an odd number and less than the hundreds digit. Since the ones digit cannot be 0, it can only be 1 or 3.
3. To estimate the number, we need to divide 20,000 by 5, which equals 4,000.
4. The number ends with the ones digit mentioned above, so it is either 4,010 or 4,030.
5. Now, we need to check which of these two numbers satisfies the condition that the ones digit is less than the hundreds digit.
- For 4,010, the hundreds digit is 1, which is greater than the ones digit (0). Therefore, this number does not satisfy the condition.
- For 4,030, the hundreds digit is 3, which is indeed greater than the ones digit (3). Therefore, this is the correct number.
Therefore, the number you are is 4,030.