Tenecia is thinking of a number with 8 place values. The digit in the thousands place is 5. The digits in the hundred thousands and hundreds place are both an odd number greater than 7. The digit in each other place value is one less than the digit in the thousands place. What is the number?
Write down eight blanks in a row, and label them, from right to left (weird, I know): ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions. The digit in the thousands place is 5. Write it in that blank. Think what odd number is greater than 7 but less than 10 (since it has to be one digit). Write that number in the hundred thousands blank and in the hundreds blank. All the other blanks will get the same number, which is one less than the number you wrote in the thousands blank.
33,935,933
Six
To find the number, we need to analyze the given information step by step.
1. The digit in the thousands place is 5.
2. The digit in the hundred thousands and hundreds place are both odd numbers greater than 7.
3. The digit in each other place value is one less than the digit in the thousands place.
Let's break it down:
1. The digit in the thousands place is 5.
We know that the thousands place digit is 5.
2. The digit in the hundred thousands and hundreds place are both odd numbers greater than 7.
Since the digit in the thousands place is 5, the digit in the hundred thousands place is one less, which is 4.
And since the digit in the thousands place is 5, the digit in the hundreds place is one less, which is 4.
Therefore, the digits in the hundred thousands and hundreds place are both odd numbers greater than 7, which must be 9 and 8 respectively.
3. The digit in each other place value is one less than the digit in the thousands place.
The digit in the ten-thousands place is one less than the digit in the thousands place, which is 5-1 = 4.
Similarly, the digit in the thousands place is one less than the digit in the thousands place, which is 5-1 = 4.
Continuing this pattern, the digit in the hundreds place is one less than the digit in the thousands place, which is 5-1 = 4.
The digit in the tens place is one less than the digit in the thousands place, which is 5-1 = 4.
And finally, the digit in the ones place is one less than the digit in the thousands place, which is 5-1 = 4.
Putting it all together, the number Tenecia is thinking of is:
49,584,944