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Rules for rounding off numbers. If the digit to be dropped is greater than 5, the last retained digit is increased by one. For example, 12.6 is rounded to 13. If the digit to be dropped is less than 5, the last remaining digit is left as it is. For example, 12.4 is rounded to 12.
Scientific notation, significant figures and rounding . Scientific or Standard Notation is best used to express very large or very small numbers in a compact, easy to read form, but can be used on any numbers. Simply, the basic format of the notation is + n-> a positive index indicates a large number. a 10× n
Rules for rounding When making calculations with measured values, the answer will need to be rounded to the correct number of significant figures according to the following rules. 1) Round down whenever the digit following the last significant figure is a 0,1,2,3, or 4. a. For example, 30.24 becomes 30.2.
Rounding - decimal places When rounding to decimal places we round to a certain position after the decimal point. Let’s take the number 6546.54654 as an example. We will round it to: 1 d.p.: 6546.5 2 d.p.: 6546.55 3 d.p.: 6546.547 4 d.p.: 6546.5465 Note that we can also round this number to: the nearest unit: 6547 the nearest ten: 6550
Significant Figures and Rounding – Explanations and Examples Read pages 18-22 in your Lab Manual for a more thorough discussion of the meaning of significant figures and how it relates to accuracy, precision, and error.
It makes rounding accurate, not random! Students see this as a meaningful skill for interpreting & communicating calculated results. Explore our extensive range of worksheets designed to help your students practice their skills related to significant figures. These teaching resources and worksheets are in PDF format and can be downloaded easily.
SIGNIFICANT FIGURES. The amount of approximation required in a number may be described in another way by saying how many significant figures are required. To find how many significant figures a number contains count all figures in the number except zeros at the beginning or end of the number.
