Operations with Scientific Notation

Addition & Subtraction (3 x 104) + (5 x 104) Step 1: Both are numbers multiplied by 104 Step 2: I can add the first factors and leave the base 10’s the same (3 + 5) x 104 8 x 104

Addition & Subtraction (20 x 104) + (5 x 104) Step 1: Both are numbers multiplied by 104 Step 2: I can add the first factors and leave the base 10’s the same (20 + 5) x 104 25 x 104 2.5 x 105

Addition & Subtraction (9 x 103) – (6 x 103) Step 1: Both are numbers multiplied by 103 Step 2: I can add the first factors and leave the base 10’s the same (9 - 6) x 103 3 x 103

Addition & Subtraction (20 x 103) – (8 x 103) Step 1: Both are numbers multiplied by 103 Step 2: I can add the first factors and leave the base 10’s the same (20 - 8) x 103 12 x 103 1.2 x 104

Addition & Subtraction (1.1 x 104) + (2.9 x 104) Step 1: Both are numbers multiplied by 104 Step 2: I can add the first factors and leave the base 10’s the same (1.1 + 2.9) x 104 4 x 104

Addition & Subtraction (3.5 x 103) – (2.5 x 103) Step 1: Both are numbers multiplied by 103 Step 2: I can add the first factors and leave the base 10’s the same (3.5 – 2.5) x 103 1.0 x 103

Examples (3 x 104) + (5 x 104) (8 x 107) - (4 x 107)

Examples (3.2 x 102) + (2.8 x 102) (5.0 x 109) - (2.5 x 109)

Multiplication & Division (2 x 103)(2 x 103) Step 1: Multiply the first factors (2 x 2) Step 2: Use your laws of exponents (2 x 2) x (103 * 103 ) 4 x 106

Multiplication & Division (3 x 104)(2 x 102) Step 1: Multiply the first factors (3 x 2) Step 2: Use your laws of exponents (3 x 2) x (104 * 102 ) 6 x 106

Multiplication & Division (12 x 105)÷(4 x 103) Step 1: Multiply the first factors (12 ÷ 4) Step 2: Use your laws of exponents (12 ÷ 4) x (105 ÷103 ) 3 x 102

Multiplication & Division (2 x 103)(6 x 103) Step 1: Multiply the first factors (2 x 6) Step 2: Use your laws of exponents (2 x 6) x (103 * 103 ) 12 x 106 1.2 x 107

Multiplication & Division (7 x 106)(3 x 103) Step 1: Multiply the first factors (7 x 3) Step 2: Use your laws of exponents (7 x 3) x (106 * 103 ) 21 x 109 2.1 x 1010

Examples (3 x 104)(3 x 104) (1 x 107)(2 x 107) (6 x 106)(5 x 106)

Examples (8 x 105) ÷ (4 x 102) (9 x 1019) ÷(3 x 109)

Assignment – Due Thursday Bring Your Textbook Please Complete – Page 48 Check Your Understanding Copy Questions and Complete - 1, 2, 6, 7 Word Problems - 8, 9, 10, 11 Class 2 – Continue Work