this number has 4 places to the right of the decimal point. it has 2 hundreds, 3 ten thousandths and 1 tenth. it is in between 240 and 242. the thousandths place is one less than the ten thousandths and less than the hundredths. what are the 6 numbers that match this data?
_ _ _ . _ _ _ _
2 4 1 . 1 _ 2 3
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To find the 6 numbers that match the given data, we can follow these steps:
Step 1: Determine the number of hundreds.
Since the number is in between 240 and 242, it must have 2 hundreds.
Step 2: Determine the value of the ten thousandths place.
Given that it has 3 ten thousandths, we can write it as 0.0003.
Step 3: Determine the value of the tenth place.
The number has 1 tenth, so the value is 0.1.
Step 4: Determine the thousandths place.
The thousandths place is one less than the ten thousandths and less than the hundredths.
Considering the ten thousandths place value (0.0003), one less is 0.0002.
Since it is also less than the hundredths, it could be any value greater than 0.0002 and less than 0.0100.
Step 5: Combine the values.
Combining the values, the six numbers that match this data are:
1) 240.0003
2) 240.0004
3) 240.0005
4) 240.0006
5) 240.0007
6) 240.0008
Note: All numbers have 2 hundreds, 3 ten thousandths (0.0003), and 1 tenth (0.1). The thousandths place varies between 0.0002 and 0.0099.
To find the numbers that match the given criteria, we can break down the given information:
1. The number has 4 decimal places: This means the number will be in the form of dddd.dddd where each 'd' represents a digit.
2. It has 2 hundreds: Since we know the number is between 240 and 242, it must be 241 or 241.00.
3. It has 3 ten thousandths: Ten thousandths is the decimal place four positions to the right of the decimal point. So, in this case, the number ends in 0.0003.
4. It has 1 tenth: The tenths place is one position to the right of the decimal point. So, the number must have a digit in the tenths place, such as 0.1.
5. The number is between 240 and 242: Combining the given information, we know that the number is 241.xx or 241.00.
6. The thousandths place is one less than the ten thousandths and less than the hundredths: Since we know the number is between 241 and 242, the only possible number that satisfies this condition is 241.001.
Therefore, the six numbers that match the given data are: 241.0003, 241.0004, 241.0005, 241.0006, 241.0007, and 241.001.