Write the word form of the number in standard decimal form for: three and fifty-four thousandths
The Correct Answer and Explanation is :
The number described as “three and fifty-four thousandths” can be expressed in standard decimal form as 3.054.
Explanation:
- Understanding the Components:
- The phrase “three” refers to the whole number part of the decimal. This means that we start with the number 3.
- The phrase “fifty-four thousandths” indicates the decimal portion of the number. In decimal notation, “thousandths” refers to the third place to the right of the decimal point.
- Breaking Down the Decimal:
- The term “fifty-four” represents the number 54. Since it is specifically described as being in the thousandths place, it means that we place this number in the third decimal position.
- In decimal form, the thousandths place is represented as follows:
- The first decimal place represents tenths (0.1),
- The second decimal place represents hundredths (0.01),
- The third decimal place represents thousandths (0.001).
- Constructing the Decimal Number:
- To convert the phrase “three and fifty-four thousandths” into a decimal, we first write the whole number 3.
- Then we include the decimal point to separate the whole number from the decimal part.
- Next, we add 054 in the decimal part. In this case, we write it as .054.
- Therefore, combining the two parts gives us 3.054.
- Final Number Representation:
- In standard decimal notation, 3.054 consists of the whole number 3 and the decimal fraction 054, indicating that there are 54 thousandths beyond the whole number.
- Alternative Interpretations:
- It’s worth noting that leading zeros in the decimal portion (like the 0 in 054) do not affect the value. Thus, it could also simply be expressed as 3.054 or 3.54 without changing its numerical value.
By following these steps, we have successfully translated the phrase “three and fifty-four thousandths” into the decimal representation of 3.054.