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Convert Standard Form To Scientific Notation (Word Problems) Worksheet

In mathematics, standard form of numbers represents them in general decimal numbers, whereas scientific notation is a method of writing extremely small or large numbers in the form of 10s power. A scientific notation worksheet is perfect for students to learn how to derive scientific notation from standard decimal format. 

Grade 8
Scientific Notation
8.EE.A.3
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Teaching Convert standard form to scientific notation easily

 

Scientific notation:  a * 10m, where a is any number equal to or more than 1 and m is any integer. “a” is also referred to as a coefficient. 


 

Process of converting standard forms to scientific notations:


 

Step 1: Insert a decimal point in the standard number in a way that creates a number between 1 and 10. And if the number is already in decimal form, shift that decimal in order to form a number between 1 and 10. This value is the coefficient of scientific notation.


 

Step 2: You need to count the number of places you have put or move the decimal from right to left. This number is the exponent value that will rise on 10.  The exponent value is negative if this decimal is shifted to the right; the exponent value is negative. 


 

Step 3: Arrange the coefficient and 10 raised to the exponent value to form a scientific notation. 


 

For example, Convert 500000 into scientific notation

Solution:  Step1: 5.00000 → 5

Step2:  exponent value = 5 → 105

Step3:  5 * 105 

Why Should you use a number system worksheets for your students?

 

With the help of a scientific notation practice worksheet, students can easily learn to convert to scientific notation. 

Also, solving this worksheet will help them to enhance their skills and speed in converting to scientific notation. 


 

Download this class 8 scientific notation worksheet PDF for your students.

Teaching Convert standard form to scientific notation easily

 

Scientific notation:  a * 10m, where a is any number equal to or more than 1 and m is any integer. “a” is also referred to as a coefficient. 


 

Process of converting standard forms to scientific notations:


 

Step 1: Insert a decimal point in the standard number in a way that creates a number between 1 and 10. And if the number is already in decimal form, shift that decimal in order to form a number between 1 and 10. This value is the coefficient of scientific notation.


 

Step 2: You need to count the number of places you have put or move the decimal from right to left. This number is the exponent value that will rise on 10.  The exponent value is negative if this decimal is shifted to the right; the exponent value is negative. 


 

Step 3: Arrange the coefficient and 10 raised to the exponent value to form a scientific notation. 


 

For example, Convert 500000 into scientific notation

Solution:  Step1: 5.00000 → 5

Step2:  exponent value = 5 → 105

Step3:  5 * 105 

Why Should you use a number system worksheets for your students?

 

With the help of a scientific notation practice worksheet, students can easily learn to convert to scientific notation. 

Also, solving this worksheet will help them to enhance their skills and speed in converting to scientific notation. 


 

Download this class 8 scientific notation worksheet PDF for your students.

Teaching Convert standard form to scientific notation easily

 

Scientific notation:  a * 10m, where a is any number equal to or more than 1 and m is any integer. “a” is also referred to as a coefficient. 


 

Process of converting standard forms to scientific notations:


 

Step 1: Insert a decimal point in the standard number in a way that creates a number between 1 and 10. And if the number is already in decimal form, shift that decimal in order to form a number between 1 and 10. This value is the coefficient of scientific notation.


 

Step 2: You need to count the number of places you have put or move the decimal from right to left. This number is the exponent value that will rise on 10.  The exponent value is negative if this decimal is shifted to the right; the exponent value is negative. 


 

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