Question

Circle the numbers that are correctly written in scientific notation and place an X over the numbers that are not.

12.8 x 10$
2.56 x 10⁻¹⁶
5.2 x 10¹⁶
4.35 x 10
1.28 x 10⁶

Answer 1

To express numbers in proper scientific notation, they must be written in the form of one non-zero digit before the decimal point, followed by a decimal and the remaining significant digits, times 10 raised to an appropriate exponent.

Step-by-step explanation:

The correct answer is that numbers must be written with one non-zero digit before the decimal point and followed by the appropriate power of ten in order to be in proper scientific notation. To convert the given numbers to proper scientific notation, follow these steps:

• 12.8 × 10 is not correct because it has two digits before the decimal. The proper scientific notation would be 1.28 × 10³.
• 2.56 × 10⁻¹⁶ is already in proper scientific notation.
• 5.2 × 10¹⁶ is proper scientific notation.
• 4.35 × 10 is not correct because it does not have an exponent for the power of ten. It should be 4.35 × 10¹.
• 1.28 × 10⁶ is proper scientific notation.

By correctly expressing numbers in scientific notation, we make it easier to handle extremely large or small values, especially in fields such as physics, chemistry, and engineering.