High School

Write the following measurements in proper scientific notation with the correct number of significant figures.

1. 2,451 km
2. 0.004578 m
3. 4,548,450 kg
4. 0.2545 g
5. 30.0 x 10^-2 m
6. 145 kg

Answer :

Final answer:

To write measurements in scientific notation, identify significant figures, count decimal places, move the decimal point, and write the number with an exponent of 10.

Explanation:

To write measurements in proper scientific notation with the correct number of significant digits, follow these steps:

  1. Identify the non-zero digits in the given measurement as significant figures.
  2. Count the number of decimal places in the measurement. If there is no decimal point, assume it is at the end of the number.
  3. Move the decimal point to create a number between 1 and 10.
  4. Count the number of places the decimal point moved. This will be the exponent of 10.
  5. Write the number in scientific notation by multiplying the decimal part by 10 raised to the power of the exponent.

Using these steps, the measurements can be written as:

  1. 2.0 x 10-3 m
  2. 2.451 x 103 km
  3. 4.2 x 10-11 g
  4. 7.0 x 100 g
  5. 4.54845 x 106 kg
  6. 1.45 x 102 kg
  7. 3.0 x 10-1 m

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