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Analyze each of the measured values to determine how many significant figures should be in the result. Perform the calculation and round appropriately. Apply the correct units to the answer. When multiplying or dividing, the units are also multiplied or divided.
Multiplication rules and division rules for significant figure calculations. Unlike the addition and subtraction example, you now must calculate the number of significant figures in each number in its entirely before performing the calculation, not just the decimal part.
Multiplication and Division with Significant Figures. When multiplying and dividing significant figures, we follow the given steps. Identify significant digits of each number. Find the least number of significant digits in any of the numbers. Multiply or divide the numbers in the problem as you would normally.
The rules for significant figures in multiplication and division are: 1. Multiplication: When multiplying numbers, the result should have as many significant figures as the number in the calculation with the least significant figures.
There are two main rules applied to addition and subtraction and multiplication and division respectively. Significant Figures in Multiplication and Division. In multiplication or division, the answer can’t have more significant figures than either of the original numbers.
Course: Arithmetic (all content) > Unit 6. Lesson 14: Significant figures. Intro to significant figures. Rules of significant figures. Multiplying and dividing with significant figures. Addition and subtraction with significant figures.
Multiplication/Division . When multiplying/dividing, the answer should have the same number of significant figures as the limiting term. The limiting term is the number with the least number of significant figures. Example 11: 503.29 x 6.177 = 3108.82233 → round → 3109. ↑. limiting term has 4 sig figs
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