PDF Scientific Notation
[Pages:28]Scientific Notation
Section 7-1 Part 2
Goals
Goal ? To write numbers in
scientific notation and standard form. ? To compare and order numbers using scientific notation.
Vocabulary
? Scientific Notation
Powers of 10
The table shows relationships between several powers of 10.
? Each time you divide by 10, the exponent in the power decreases by 1 and the decimal point in the value moves one place to the left.
? Each time you multiply by 10, the exponent in the power increases by 1 and the decimal point in the value moves one place to the right.
Powers of 10
? You can find the product of a number and a power of 10 by moving the decimal point of the number.
? If the exponent is positive, move the decimal point to the right.
? If the exponent is negative, move the decimal point to the left.
? You may need to write zeros to the right or left of the number in order to move the decimal point.
Example: Multiplying by
Powers of 10
Multiply.
A. 14 x 104
14.0 0 0 0
Since the exponent is a positive 4, move the decimal point 4 places to the right.
140,000
B. 3.6 x 10-5
0 0 0 0 3.6
0.000036
Since the exponent is a negative 5, move the decimal point 5 places to the left.
Your Turn:
Multiply.
A. 2.5 x 105
2.5 0 0 0 0
250,000
B. 10.2 x 10-3
0 10.2
0.0102
Since the exponent is a positive 5, move the decimal point 5 places to the right.
Since the exponent is a negative 3, move the decimal point 3 places to the left.
Definition
? Scientific Notation - is a way to express numbers that are very large or very small.
? Powers of 10 are used when writing numbers in scientific notation.
? Numbers written in scientific notation are expressed as 2 factors.
? One factor is a number greater than or equal to 1. ? The other factor is a power of 10.
? Example:
? 1.43 1012 ? 5.8 10-9
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