Question

Perform the following calculations. Treat each number as exact.

Answer 1

To calculate and express answers correctly, identify the least number of significant figures in the data given and ensure the final answer matches this precision. Use appropriate significant figures for multiplication, division, and when writing linear equations. For scientific notation, express the result with the correct significant figures.

Step-by-step explanation:

To perform calculations and express answers with the correct number of significant figures and proper units, follow the rules of significant figures. For multiplication and division, the number of significant figures in the result should be the same as the number in the least precise measurement used in the calculation.

For example:

1. 18,900 × 76.33 ÷ 0.00336 = ?
   Here, the least number of significant figures is four, so the final answer should be rounded off to four significant figures.

For a linear equation:

• Analyze the Data: Enter your data into a calculator or computer. Write the linear equation, rounding to four decimal places.

For scientific notation calculations:

1. 98,000 × 23,000 = ?
   Express the final answer in proper scientific notation with the correct significant figures.
2. (4.6 × 10^-5) × (2.09 × 10^3) = ?
   Here, the result should be expressed in scientific notation while adhering to significant figure rules