Multiplying in scientific notation Step One: Make sure both numbers are in scientific notation PPS p. 370 Step Two: Multiply the front numbers 4.2 x 2 Step Three: Multiply the base 10 by using properties of exponents 𝟏𝟎 𝟒 x 𝟏𝟎 𝟑 = 𝟏𝟎 𝟒+𝟑 = 𝟏𝟎 𝟕 Step Four: Write your solution. Make sure it is properly put in scientific notation. 8.4 x 𝟏𝟎 𝟕

Dividing in scientific notation Step One: Make sure both numbers are in scientific notation PPS p. 370 Step Two: Round the front numbers to the nearest whole number. 6.39 = 6 3 = 3 (already rounded to the nearest whole number) Step Three: Divide the front numbers. 6 ÷𝟑=𝟐 Step Four: Divide the base 10 by using properties of exponents 𝟏𝟎 −𝟐 ÷ 𝟏𝟎 −𝟑 = 𝟏𝟎 −𝟐 −(−𝟑) = 𝟏𝟎 −𝟐+𝟑 = 𝟏𝟎 𝟏 Step Five: Write your solution. Make sure it is properly put in scientific notation. 2 x 𝟏𝟎 𝟏

Adding in scientific notation PPS p. 370 Step One: Make sure both numbers are in scientific notation Step Two: Convert the smaller number in scientific notation to match the greater number’s exponent 1.1 x 10 1 = .0011 x 10 4 Step Three: Add the front numbers 4.5 + .0011 = 4.5011 Step Four: Keep the base 10 and write your solution. Make sure it is in proper scientific notation 4.5011 x 10 4

Subtracting in scientific notation PPS p. 370 Step One: Make sure both numbers are in scientific notation (6.21 x 10 −2 ) – ( 4.3 x 10 −4 ) Step Two: Convert the smaller number in scientific notation to match the greater number’s exponent 4.3 x 10 −4 = .043 x 10 −2 Step Three: Subtract the front numbers 6.21 – 0.43 = 6.167 Step Four: Keep the base 10 and write your solution. Make sure it is in proper scientific notation 6.167 x 10 −2