Scientific Notation
Scientific Notation
SIMPLY PUT – The definition of scientific notation relates to the ones place. The ones place needs to be greater than or equal to 1, but less than 10 (ones place ≥ 1 but < 10 )
€ Writing Math – You may need to add zeros to the right or left of a number in order to move the decimal point in that direction.
Reading Math – If you do not see a decimal point in a number, it is understood to be at the end of the number.
Multiplying by Powers of 10
If the exponent is a positive integer, move the decimal point to the right. 125 x 105 = 12,500,000 -‐-‐-‐ after the 5, the decimal place was moved five places to the right
If the exponent is a negative integer, move the decimal point to the left. 36.2 x 10-‐3 = 0.0362 -‐-‐-‐ after the 6, the decimal place was moved three places to the left
Reading Math – Standard form refers to the usual way that numbers are written – not in scientific notation.
Examples:
Standard Form: 40,080,000 -‐-‐-‐-‐-‐ Scientific Notation: 4.008 x 107
Standard Form: 235,000 -‐-‐-‐-‐-‐ Scientific Notation: 2.35 x 105 Standard Form: 170,000,000,000 -‐-‐-‐-‐-‐ Scientific Notation: 1.7 x 1011
Standard Form: 0.0000006 -‐-‐-‐-‐-‐ Scientific Notation: 6 x 10-‐7 Standard Form: 0.000077 -‐-‐-‐-‐-‐ Scientific Notation: 7.7 x 10-‐5 Standard Form: 0.0412 -‐-‐-‐-‐-‐ Scientific Notation: 4.12 x 10-‐2
Standard Form: 4,500 -‐-‐-‐-‐-‐ Scientific Notation: 4.5 x 103
Standard Form: 6,560,000 -‐-‐-‐-‐-‐ Scientific Notation: 6.56 x 106
Standard Form: 0.00002 -‐-‐-‐-‐-‐ Scientific Notation: 2 x 10-‐5
Standard Form: 0.00203 -‐-‐-‐-‐-‐ Scientific Notation: 2.03 x 10-‐3
SIMPLY PUT – The definition of scientific notation relates to the ones place. The ones place needs to be greater than or equal to 1, but less than 10 (ones place ≥ 1 but < 10 )
€ Writing Math – You may need to add zeros to the right or left of a number in order to move the decimal point in that direction.
Reading Math – If you do not see a decimal point in a number, it is understood to be at the end of the number.
Multiplying by Powers of 10
If the exponent is a positive integer, move the decimal point to the right. 125 x 105 = 12,500,000 -‐-‐-‐ after the 5, the decimal place was moved five places to the right
If the exponent is a negative integer, move the decimal point to the left. 36.2 x 10-‐3 = 0.0362 -‐-‐-‐ after the 6, the decimal place was moved three places to the left
Reading Math – Standard form refers to the usual way that numbers are written – not in scientific notation.
Examples:
Standard Form: 40,080,000 -‐-‐-‐-‐-‐ Scientific Notation: 4.008 x 107
Standard Form: 235,000 -‐-‐-‐-‐-‐ Scientific Notation: 2.35 x 105 Standard Form: 170,000,000,000 -‐-‐-‐-‐-‐ Scientific Notation: 1.7 x 1011
Standard Form: 0.0000006 -‐-‐-‐-‐-‐ Scientific Notation: 6 x 10-‐7 Standard Form: 0.000077 -‐-‐-‐-‐-‐ Scientific Notation: 7.7 x 10-‐5 Standard Form: 0.0412 -‐-‐-‐-‐-‐ Scientific Notation: 4.12 x 10-‐2
Standard Form: 4,500 -‐-‐-‐-‐-‐ Scientific Notation: 4.5 x 103
Standard Form: 6,560,000 -‐-‐-‐-‐-‐ Scientific Notation: 6.56 x 106
Standard Form: 0.00002 -‐-‐-‐-‐-‐ Scientific Notation: 2 x 10-‐5
Standard Form: 0.00203 -‐-‐-‐-‐-‐ Scientific Notation: 2.03 x 10-‐3
