Math & Exponents

Correct the following: 20.7 x 103 2.07 x 104

Correct the following: 400.9 x 104 4.009 x 106

Correct the following: 0.424 x 107 4.24 x 106

Correct the following: 0.0424 x 107 4.24 x 105

Correct the following: 55.7 x 10-4 5.57 x 10-3

Correct the following: 0.045 x 10-9 4.5 x 10-11

2 x 102 + 5 x 102 = 7 x 102 Adding & Subtracting Exponents 200 500 700 The exponents must be the same, if not, convert the quantities so they have same exponent. Add/Subtract the quantities x 10n Let’s check 200 500 2 x 102 + 5 x 102 = 7 x 102 700

Adding & Subtracting Exponents The exponents must be the same, if not, convert the quantities so they have same exponent. Add/Subtract the quantities x 10n Let’s check 40 + 300 = 340 4 x 101 + 3 x 102 = 0.4 x 102 + 3 x 102 = 3.4 x 102 340 =

(1) 2.7 x 105 + 4 x 104 =

(2) 7.7 x 103 + 8.3 x 104 =

(3) 6.3 x 10-3 - 5.4 x 10-4 =

Multiplying and Dividing Using Scientific Notation: Exponents do not need to be the same. Multiplication: Multiply the numbers and then add the exponents. Division: Divide the numbers and subtract the exponents.

Examples: 4 x 109 X 6 x 10-5 =

Examples: 8 x 104 ÷ 3 x 10-2 =

(4) 3.5 x 10-6 X 8.1 x 103 =

(5) 4.92 x 10-9 ÷ 3.1 x 10-7 =

(6) 6.7 x 10-11 X 3.3 x 10-9 =

(7) 8.77 x 10-12 ÷ 2.92 x 104 =