Categories
- Algebra
- Multiplying Polynomials
- Subtracting Polynomials
- Adding Polynomials Worksheets
- Classifying Polynomials
- Proportion Worksheets
- Trigonometric Charts
- Quadrants Worksheets
- Roots of Quadratic Equation
- Solving Quadratic Equation Worksheets
- Multi Step Equation Worksheets
- Two Step Equation Worksheets
- One Step Equation Worksheets
- Identifying Polynomials Worksheets
- Evaluate Algebraic Identities
- Algebraic Expressions
- Scientific Notation
- Order of Operations
- Simplifying Algebraic Expressions
- Graphing Lines
- Point Slope Form Worksheets
- Two Point Form Worksheets
- Ratio Worksheets
- Two Intercept Form
- Data Handling
- English Worksheets
- Geometry
- Factors and Multiples
- Measuring Angles
- Types of Angles
- Pair of Angles
- Naming Angles Worksheets
- Composing and Decomposing Shapes
- Angles in Triangles
- Triangle Inequality Theorem
- Medians and Centroid of a triangle
- Pythagorean Theorem
- Perimeter of Triangles
- Types of Triangles
- Area of Triangles
- Circumference of Circles
- Area of Circles
- Perimeter of Rectangles
- Area of Rectangle
- Identifying Rectangles
- Perimeter of Squares
- Area of Squares
- Identifying Quadrilaterals
- Area of Quadrilaterals
- Perimeter of Quadrilaterals
- Slope Worksheets
- Distance Worksheets
- Midpoint Formula
- Kite Worksheets
- Parallelogram Worksheets
- Lines, Rays, Line Segments and Planes
- Symmetry Worksheets
- 3D Shapes Worksheets
- 2D Shapes Worksheets
- Complementary and Supplementary Angles
- Kids Corner
- Veteran’s Day Worksheets
- Valentine’s Day Worksheets
- Thanksgiving Day Worksheets
- Labor Day Worksheets
- Saint Patrick’s Day Worksheets
- Memorial Day Worksheets
- Martin Luther King Worksheets
- Halloween Worksheets
- Columbus Day Worksheets
- New Year Worksheets
- Christmas Worksheets
- Easter Worksheets
- Matching Activity
- Connecting Dots
- Tracing and Coloring
- Coloring Activity
- Cartoon Coloring
- Number Names Charts
- Number Charts
- Standard Charts
- Alphabet
- Measurement
- Numbers & Operations
- Comparing Numbers
- Polynomials – Box method
- Dividing Polynomials Worksheets
- Place value for Decimals
- 6-Digit Place Value Worksheets
- 5-Digit Place Value Worksheets
- 4 Digit Place Value Worksheets
- 3-Digit Place Value Worksheets
- 2 Digit Place Value Worksheets
- Patterns Worksheets
- Types of fractions
- Multiplying and Dividing fractions
- Comparing and Ordering fractions
- Fraction Subtraction
- Fraction Addition
- Representing fractions
- Exponents Worksheets
- Ordering Numbers
- Estimation of Numbers
- Page Template
- Rounding Numbers
- Cardinal & Ordinal Numbers
- Odd and Even Numbers
- Skip Counting Worksheets
- Roman Numerals Worksheets
- Decimal Subtraction
- Decimal Addition
- Prime and Composite Numbers
- Squares and Cubes of Numbers
- Divisibility Rules Worksheets
- Counting & Cardinality
- Addition Tables
- Word Problems
Scientific Notation Worksheets
Scientific Notation worksheets here teach you the best way to express very large numbers and very small numbers. It is represented conveniently using exponents. The numbers are shortened (a number between 1 to 10) and multiplied in the power of 10. The powers for very large numbers are expressed using positive exponents and very small numbers using negative exponents. In these worksheets, learn to express standard numbers in scientific form and scientific numbers in standard form. Also scientific notation Addition, Subtraction, Multiplication, and Division worksheets have been prepared for advanced learning.
RELATED ALGEBRA TOPICS : Order of Operations, Forming algebraic expressions and translating phrases
Let us learn how to express the numbers
The mass of earth is 5,970,000,000,000,000,000,000,000 kg. Such large numbers are represented using exponents. We represent it as 5.97 x 1024
Thus 10 is base here and 24 is the power in 5.97 x 1024
Lets us see how to represent it. Look into the number.
Place a decimal point at the end of the number. Now move the decimal 24 places to the left, such that you place the decimal point imediately after the first digit of the given number.
What does this expression 5.97 x 1024 mean?
5.97 x 1000000000000000000000000 (24 zeros)
OR
5.97 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10.
Eg. Negative Integer
The size of a atom is 0.0000000008 m. We represent it as 8 x 10-10 m. Here you need to move the decimal point10 places right.
What does the expression 8 x 10-10 mean?
8 x 0.0000000001
OR
8 x 0.1 x 0.1 x 0.1 x 0.1 x 0.1 x 0.1 x 0.1 x 0.1 x 0.1 x 0.1
As the exponent decreases by 1, the value becomes one- tenth of the previous value.
Generally mathematicians, scientists and engineers deal with very large and very small numbers on daily basis. They also do exponent addition, subtraction, multiplication, and division. Here is an example for each operation.
When you add two or more exponents, the powers should be made equal first. Its is always better to convert the smaller power to the highest power.
Just like addition, when you subtract exponents, the powers should be the same.
When you multiply two exponents, just add the powers. am x an = am+n, where m and n are natural numbers.
When you divide two exponents, subtract the powers. am/ an = am-n, where m and n are natural numbers.
Scientific Notation worksheets free download pdf
-
Positive Exponents - To Scientific - Up to 5
Positive Exponents - To Scientific - Up to 5
-
Positive Exponents - To Scientific - Up to 10
Positive Exponents - To Scientific - Up to 10
-
Positive Exponents - To Standard - Up to 5
Positive Exponents - To Standard - Up to 5
-
Positive Exponents - To Standard - Up to 10
Positive Exponents - To Standard - Up to 10
-
Negative Exponents - To Scientific - Up to 5
Negative Exponents - To Scientific - Up to 5
-
Negative Exponents - To Scientific - Up to 10
Negative Exponents - To Scientific - Up to 10
-
Negative Exponents - To Standard - Up to 5
Negative Exponents - To Standard - Up to 5
-
Negative Exponents - To Standard - Up to 10
Negative Exponents - To Standard - Up to 10
-
Express in Scientific form - Word Problems
Express in Scientific form - Word Problems