WRITING A NUMBER IN SCIENTIFIC NOTATION
About "Writing a number in scientific notation"
Writing a number in scientific notation :
To translate between standard notation and scientific notation, you can count the number of places the decimal point moves.
To write a number which is greater than 1 in scientific notation, move the decimal point left and use a positive exponent.
It has been illustrated in the picture given below.
To write a number which is less than 1 in scientific notation, move the decimal point right and use a negative exponent.
It has been illustrated in the picture given below.
Writing a number in scientific notation - Examples
Example 1 :
The distance from Earth to the Sun is about 93,000,000 miles. Write this distance in scientific notation.
Solution :
Step 1 :
Move the decimal point in 93,000,000 to the left until you have a number that is greater than or equal to 1 and less than 10.
Move the decimal point 7 places to the left.
Remove extra zeros.
9.3
Step 2 :
Divide the original number by the result from Step 1.
That is, divide 93,000,000 by 9.3.
10,000,000
Write your answer as a power of 10.
10⁷
Step 3 :
Write the product of the results from Steps 1 and 2.
Write a product to represent 93,000,000 in scientific notation.
93,000,000 = 9.3 × 10⁷ miles
Example 2 :
The average size of an atom is about 0.00000003 centimeter across. Write the average size of an atom in scientific notation.
Solution :
Step 1 :
Move the decimal point as many places as necessary to find a number that is greater than or equal to 1 and less than 10.
Place the decimal point after 3 and put one zero to make the decimal visible.
3.0
Step 2 :
Count the number of places you moved the decimal point.
8
Step 2 :
Multiply 3.0 times a power of 10.
Since 0.00000003 is less than 1, you moved the decimal point to the right and the exponent on 10 is negative.
3.0 × 10⁻⁸
The average size of an atom in scientific notation is 3.0 × 10⁻⁸.
Reflect
When we write a number that is less than 1 in scientific notation, how does the power of 10 differ from when we write a number greater than 1 in scientific notation ?
The exponent is negative instead of positive.
After having gone through the stuff given above, we hope that the students would have understood, how to write a number in scientific notation".
Apart from the stuff given above, if you want to know more about "Writing a number in scientific notation", please click here
Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.
You can also visit our following web pages on different stuff in math.
WORD PROBLEMS
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits
Recent Articles
-
Algebra Worksheets in Math
Sep 23, 19 07:57 AM
Algebra Worksheets in Math - Concepts and practice questions with step by step solution
-
Solving Word Problems with Nature of Roots of Quadratic Equation
Sep 23, 19 05:08 AM
Solving Word Problems with Nature of Roots of Quadratic Equation - Concept and examples with step by step solution
-
Nature of Roots of Quadratic Equation Discriminant Examples
Sep 23, 19 04:47 AM
Nature of Roots of Quadratic Equation Discriminant Examples - Concept and examples with step by step solution
