TOPIC 1SIGNIFICANT FIGURES AND

STANDARD FORM

At the end of this lesson, students should be able to:

• Define the significant figures

• Determine the significant figures

• Identify the rounding off the significant figures

• Calculate the whole number and determine the significant figures.

• Identify and evaluate the Standard Form

• Perform the conversion of length and volume of liquid

LEARNING OUTCOMES

Definition

Significant Figure

Standard Form

• Digits of a number that is relevant to its precision.

EXAMPLE :The number 13.2 is said to have 3 significant figures. The number 13.20 is said to have 4 significant figures.

• Another name for "Scientific Notation", where a number is written in two parts:

• First: just the digits (with the decimal point placed after the first digit),

• Followed by: ×10 to a power that would put the decimal point back where it should be.

Significant Figures

Determination Of Significant Figures

Rounding Off Significant Figures

Non-Zero Digits

Zero occurring between non-zero

digits

In DecimalRules

Non-Zero Digits

All non-zero digits are significant:312 : 3 significant figures3149 : 4 significant figures283.847 : 6 significant figures

Zero Occurring Between Non-Zero Digits

Zeros occurring between non-zero digits are significant:

6003: 4 significant figures201 : 3 significant figures98908 : 5 significant figures

In Decimal

In a decimal, zeros after the non-zero digits are significant:

8.00 : 3 significant figures99.0000 : 6 significant figures10.00 : 4 significant figures

In a decimal, all zeros before a non-zero digit are not significant:

0.009 : 1 significant figures0.01 : 1 significant figures0.10 : 2 significant figures

EXERCISES

Rounding Off Significant Figures

Rules

CASE A:In rounding off numbers, the last figure kept should be unchanged if the first figure dropped is less than 5.EXAMPLE : If only one decimal is to be kept, then 6.422 becomes 6.4.

CASE C:In rounding off numbers, the last figure kept should be increased by 1 if the first figure dropped is greater than 5.EXAMPLE : If only two decimals are to be kept, then 6.4872 becomes 6.49. Similarly, 6.997 becomes 7.00.

CASE B:In rounding off numbers, if the first figure dropped is 5, and all the figures following the five are zero or if there are no figures after the 5, then the last figure kept should be increased by 1 if that last figure is odd.EXAMPLE :For example, if only two decimals are to be kept, then 6.755000 becomes 6.76.

Standard Form: Converting single number

to Standard Form

Standard Form:Converting numbers in

Standard Form to Single Numbers

Conversion

THE ENDPlease Do a Lot of Exercises

THANK YOU

JUST REMEMBER:MATHS IS FUN