Use the clues to figure out the six-digit decimal number.
1. It is greater than 3,000 and less than 3,200
2. All the digits are different
3. The digit in the undredths place isa multiple of 5.
4. The product of 5 and th digit in the ones place is 0.
5. The digit in the tenths place is greater than 5 and is not a multiple of 3 or 4.
6. The digit in the tens place is 3 less than the digit in the tenths place
I started this way:
3 __ __ __ . __ __
Clue 3: the hundredths place must be either 0 or 5
Clue 4: the ones place must be 0. Therefore the hundredths place must be 5. That also means that the hundreds place must be 1. (See Clue 1.)
Can you figure out the rest of the answer?
We'll be glad to check your answer. :-)
Name two 2-digit factors whose product is greater than 200 but less than 600
3140.75
Tenth place is grater than 5 and cannot be divided by 3 or 4 is 7
Tens place is 3 less than tenth means it is 4
Hundredths is multiple of 5 which can be only 5
So answer 3140.75
To find the six-digit decimal number, let's break down the clues one by one:
1. The number is greater than 3,000 and less than 3,200. This narrows down our options to the range of numbers from 3,001 to 3,199.
2. All the digits are different. This means that none of the digits can be repeated.
3. The digit in the hundredths place is a multiple of 5. Since it's a six-digit decimal number, the hundredths place is one place after the decimal point. The only multiple of 5 within the given range is 5 itself.
4. The product of 5 and the digit in the ones place is 0. This means that the digit in the ones place must be 0.
5. The digit in the tenths place is greater than 5 and is not a multiple of 3 or 4. Here, we have two conditions: the digit is greater than 5, and it is not a multiple of 3 or 4. From the given range, the possible options for the tenths place are 6, 7, 8, and 9.
6. The digit in the tens place is 3 less than the digit in the tenths place. Looking at the possibilities mentioned in clue 5, we can see that the only option that is 3 less than any of those digits is 6.
Putting all the clues together, we have:
- The digit in the hundredths place: 5
- The digit in the tenths place: 8
- The digit in the ones place: 0
- The digit in the tens place: 6
Therefore, the six-digit decimal number that satisfies all the given clues is 3,086.