Scientific Express this number in scientific notation. 52 thousandths
The Correct Answer and Explanation is:
To express “52 thousandths” in scientific notation, first, we need to understand what “52 thousandths” represents.
“Thousandths” refers to the place value of the number, specifically the third decimal place. Therefore, “52 thousandths” can be written as 0.052 in standard decimal notation.
Now, to convert this into scientific notation, the goal is to express the number as a product of a number between 1 and 10 and a power of 10. Here’s the process:
- Move the Decimal Point: Start with 0.052. To convert this number into scientific notation, we need to move the decimal point to the right until we get a number between 1 and 10. Moving the decimal two places to the right gives us 5.2.
- Count the Decimal Places: The decimal point moved two places to the right, so this corresponds to multiplying by 10−210^{-2}10−2 (because moving the decimal to the right makes the number smaller).
Thus, the scientific notation for 0.052 is:5.2×10−25.2 \times 10^{-2}5.2×10−2
Explanation of Scientific Notation:
In scientific notation, numbers are written in the form a×10ba \times 10^ba×10b, where:
- aaa is a number between 1 and 10.
- bbb is an integer that tells you how many places the decimal point is moved.
For example, in the case of 0.052:
- 5.25.25.2 is the number between 1 and 10.
- 10−210^{-2}10−2 indicates that the decimal point was moved two places to the right.
Therefore, the scientific notation of “52 thousandths” (0.052) is 5.2×10−25.2 \times 10^{-2}5.2×10−2.
