4 5 Scientific Notation Activating Prior Knowledge Notes

4 -5 Scientific Notation Activating Prior Knowledge - Notes Order each set of numbers from least to greatest. Evaluating Algebraic Expressions 1. 10 , 10 10– 2, 10– 1, 100 , 104 4 – 2 0 3. 2 , 2 , 2 2– 6, 21 , 23 , 24 3 – 6 4 1 – 1 2 3 2. 8 , 8 , 80 – 2 8– 2, 80, 82, 83 2 – 1 9 4. 5. 2 , 5. 2 9 5. 2 , 5. 2 – 1 2 Tie to LO

4 -5 Scientific Notation Learning Objective Evaluating Algebraic Expressions Today, we will express large and small numbers in scientific notation. CFU

4 -5 Scientific Notation Concept Development – Notes #1 Evaluating Algebraic Expressions Scientific notation – A way to express numbers that are very large or very small. CFU

4 -5 Scientific Notation Concept Development – Notes #2 Evaluating Algebraic Expressions The table shows relationships between several powers of 10. • Each time you multiply by 10, the exponent in the power increases by 1 and the decimal point in the value moves one place to the right. CFU

4 -5 Scientific Notation Concept Development – Cont. Notes #2 Evaluating Algebraic The table shows relationships between. Expressions several powers of 10. • Each time you divide by 10, the exponent in the power decreases by 1 and the decimal point in the value moves one place to the left. CFU

4 -5 Scientific Notation Concept Development – In Module Evaluating Algebraic Expressions CFU

4 -5 Scientific Notation Concept Development The Evaluating finite decimal 234. 567 Expressions is equal to Algebraic every one of the following: 23. 4567 x 10 Which is the only example of scientific notation? CFU

4 -5 Scientific Notation Concept Development – Notes #4 Evaluating Algebraic Expressions 4. You can find the product of a number and a power of 10 by moving the decimal point of the number. 600 CFU

4 -5 Scientific Notation Concept Development – Notes #5 Evaluating Algebraic Expressions 5. You may need to write zeros to the right or left of the number in order to move the decimal point. . 009 CFU

4 -5 Scientific Notation Concept Development – Notes #6 Evaluating Algebraic Expressions Multiply. A. 1. 4 104 1. 40 0 0 14, 000 CFU

4 -5 Scientific Notation Concept Development Cont. Notes #6 – Evaluating Algebraic Expressions Multiply. B. 2. 3 10 -4 0 0 0 2. 3 0. 00023 CFU

4 -5 Scientific Notation Skill Development/Guided Practice – Notes #7 & 8 Evaluating Algebraic Expressions Multiply. 1. 50000 15, 000 Since the exponent is a positive 4, move the decimal point 4 places to the right. 1. 20000 120, 000 CFU

4 -5 Scientific Notation Skill Development/Guided Practice – Notes #9 & 10 Evaluating Algebraic Expressions Multiply. 2. 080000 208, 000 Since the exponent is a positive 3, move the decimal point 3 places to the right. 1. 130000000 113, 000 CFU

4 -5 Scientific Notation Concept Development – Notes #18 Evaluating Algebraic Expressions Write the number in scientific notation. A. 0. 00709 Think: The decimal needs to move 3 places to get a number between 1 and 10. 7. 09 10 -3 Think: The number is less than 1, so the exponent will be negative. So 0. 00709 written in scientific notation is 7. 09 10– 3. CFU

4 -5 Scientific Notation Concept Development – Cont. Notes #18 Evaluating Algebraic Expressions Write the number in scientific notation. B. 23, 000, 000 2. 3 1010 Think: The decimal needs to move 10 places to get a number between 1 and 10. Think: The number is greater than 1, so the exponent will be positive. So 23, 000, 000 written in scientific notation is 2. 3 1010. CFU

4 -5 Scientific Notation Concept Development – Module Pg. S 32 Evaluating Algebraic State if the following are in Expressions scientific notation? If not, state the reason. 1. 1. 908 1017 2. 0. 325 10 -2 3. 7. 99 10³² 4. 4. 0701 + 107 5. 18. 432 58 6. 8 10 -11 CFU

4 -5 Scientific Notation Concept Development – Pair Share Comparing Numbers in Scientific Notation Evaluating Expressions A certain cell has a. Algebraic diameter of approximately 4. 11 10 -5 meters. A second cell has a diameter of 1. 5 10 -5 meters. Which cell has a greater diameter? 4. 11 10 -5 1. 5 10 -5 Compare the exponents. 4. 11 > 1. 5 Compare the values between 1 and 10. Notice that 4. 11 10 -5 > 1. 5 10 -5. The first cell has a greater diameter. CFU

4 -5 Scientific Notation Concept Development – Pair Share A star has a diameter of approximately Evaluating Algebraic Expressions 3 5. 11 10 kilometers. A second star has a diameter of 5 104 kilometers. Which star has a greater diameter? 5. 11 103 5 104 Compare the exponents. Notice that 3 < 4. So 5. 11 103 < 5 104 The second star has a greater diameter. CFU

4 -5 Scientific Notation Closure - Notes 1. What did we learn today? Expressions Evaluating Algebraic 2. Why is this important to you? 3. How do I write a number in scientific notation? Write in scientific notation. 5. 0. 00034 4. 570, 000 CFU

4 -5 Scientific Notation Exit Ticket Write each number in standard form. Evaluating Algebraic Expressions 1. 1. 72 104 17, 200 2. 6. 9 10– 3 0. 0069 Write each number in scientific notation. 4. 57, 000 5. 7 107 3. 0. 0053 5. 3 10– 3 5. Order the numbers from least to greatest. T 2 10– 4, 9 10– 5, 7 10– 5, 9 10– 5, 2 10– 4 6. A human body contains about 5. 6 106 microliters of blood. Write this number in CFU standard notation. 5, 600, 000