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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.
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.
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
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
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.
1) Round the numbers in the table. Number Nearest 10 Nearest 100 423 420 482 535 799 [1] 2) Round the numbers in the table. Number Nearest unit Nearest tenth 3.41 3 7.27 1.82 7.95 [1] 3) Round the numbers in the table. Number 1 decimal place 2 decimal places 0.474 0.5 4.945 0.6138 88.7057 [1] Rounding, Decimal Places and Significant Figures ...
