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Name: Date: Significant Figures Multiplication and Division Complete the following problems and round to the correct number of significant figures. 1.6 × 0.3022.0.03 × 7 × 210403.11.6 × 6.2472.44.0.004
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Point by point, here are the steps to fill out significant figures multiplication and who needs it:
01
Start by determining the number of significant figures in each factor. To do this, count all the digits in each number starting from the left until you reach the first non-zero digit. All non-zero digits and any zeros in between are considered significant.
02
Multiply the factors as you normally would without considering significant figures.
03
Count the total number of significant figures in the original factors.
04
Look at the least number of significant figures in the original factors. This will be the number of significant figures you should have in the final answer.
05
Round the final answer to the appropriate number of significant figures.

Who needs significant figures multiplication and?

01
Scientists and researchers who deal with experimental data need to understand and use significant figures in their calculations.
02
Engineers and those in the field of physics need to consider significant figures when making calculations for precise measurements.
03
Chemists who work with chemical reactions and measurements rely on significant figures to ensure accuracy in their experiments.
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Significant figures multiplication refers to the rules applied when multiplying numbers, which dictate that the result should have the same number of significant figures as the number with the least significant figures used in the calculation.
Anyone engaging in calculations that require precision and accuracy, particularly in scientific, engineering, and academic fields, is required to understand and apply significant figures multiplication.
To fill out significant figures multiplication, multiply the numbers together, then round the final result to match the number of significant figures in the original values used in the multiplication.
The purpose of significant figures multiplication is to ensure that the precision of calculated results reflects the precision of the measured or given values, avoiding overstatement of accuracy.
When reporting results of significant figures multiplication, one must include the final result rounded to the correct number of significant figures, along with any relevant units of measurement.
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