Write this as a decimal number. 71t tens + 6 tenths + 147 thousandths
The correct answer and explanation is:
To express the number “71t tens + 6 tenths + 147 thousandths” as a decimal, first, we need to break down each part of the expression:
- 71t tens: The term “t tens” appears to be a typo or abbreviation for “tens,” referring to the number of tens. “71t tens” would be equivalent to 710 (since 71 tens equals 710).
- 6 tenths: Tenths represent one decimal place to the right of the decimal point. Thus, 6 tenths is written as 0.6.
- 147 thousandths: Thousandths represent three decimal places to the right of the decimal point. Therefore, 147 thousandths is written as 0.147.
Now, putting these parts together:
- 710 (from 71t tens)
- 0.6 (from 6 tenths)
- 0.147 (from 147 thousandths)
We combine these components to form the decimal number:
710.747.
Thus, the correct decimal representation of “71t tens + 6 tenths + 147 thousandths” is 710.747.
This process involves understanding place value in our number system. Each position in a number corresponds to a specific power of 10, depending on whether it’s to the left or right of the decimal point. The tens position is 10^1, tenths is 10^-1, and thousandths is 10^-3. By converting each part into its proper place value and then combining them, we get the final decimal representation.