Step 3: your answer including the exponent, which is the same as what you started with. 1.722 x 106 Part : Multiplying and Dividing Numbers in Scientific Notation To multiply exponents, multiply the coefficients just as you would regular decimals. Then add the exponents to each other. The exponents DO NOT have to be the same. 1.35 x 106 X 3.72 x 105 = ? Example: Step 1: Multiply the coefficients. 1.35 x 3.72 270 9450 40500 5.022 Step 2: Add the exponents. 5 + 6 = 11 Step 3: Write your final answer. 5.022 x 1011 To divide exponents, divide the coefficients just as you would regular decimals, then subtract the exponents. In some cases, you may end up with a negative exponent. 5.635 x 103 / 2.45 x 106 = ? Example: Step 1: Divide the coefficients. 5.635 / 3.45 = 2.3 Step 2: Subtract the exponents. 3 6 = -3 – Step 3: Write your final answer. 2.3 x 10-3 Practice: Remember to show all your work, include units if given, and NO CALCULATORS! All work and answers go on your answer sheet. Write the following numbers in scientific notation: 145,000,000,000 13 million 435 billion .000348
Step 3: your answer including the exponent, which is the same as what you started with. 1.722 x 106 Part : Multiplying and Dividing Numbers in Scientific Notation To multiply exponents, multiply the coefficients just as you would regular decimals. Then add the exponents to each other. The exponents DO NOT have to be the same. Example: 1.35 x 106 X 3.72 x 105 = ? Step 1: Multiply the coefficients. 1.35 x 3.72 270 9450 40500 5.022 Step 2: Add the exponents. 5 + 6 = 11 Step 3: Write your final answer. 5.022 x 1011 To divide exponents, divide the coefficients just as you would regular decimals, then subtract the exponents. In some cases, you may end up with a negative exponent. Example: 5.635 x 103 / 2.45 x 106 = ? Step 1: Divide the coefficients. 5.635 / 3.45 = 2.3 Step 2: Subtract the exponents. 3 – 6 = -3 Step 3: Write your final answer. 2.3 x 10-3 Practice: Remember to show all your work, include units if given, and NO CALCULATORS! All work and answers go on your answer sheet. Write the following numbers in scientific notation: 145,000,000,000 13 million 435 billion .000348