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10.5 and 10.5 Scientific Notation Date 2/21/19

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Presentation on theme: "10.5 and 10.5 Scientific Notation Date 2/21/19"— Presentation transcript:

1 10.5 and 10.5 Scientific Notation Date 2/21/19
Copy down Essential Question. Work on Warm Up. Essential Question How do I write a number in scientific notation? Warm Up: Rank the images from smallest to the largest Mars Elephant Orange Galaxy Tower

2 Core Concept: Scientific Notation
Word A number format for writing extremely large or extremely small numbers. 8.3 ∙ 10 7 These examples are NOT in scientific notation ∙ 10 7 The factor is greater than ∙ 10 7 The factor is less than ∙ The power is not a integer

3 How to tell whether the number is written in scientific notation
∙ 10 7 Yes, the factor is between 1-10, and the power is an integers ∙ ∙ 10 −25 No, the factor is Not between 1-10

4 Practice: How to tell whether the number is written in scientific notation
∙ No, the factor is Not between ∙ 10 − ∙ 10 −19 Yes, the factor is between 1-10, and the power is an integers

5 Core Concept: Writing Number in Standard Form
The exponent tells you how many spots to move. If the exponent is negative, move the decimal point to the left. If the exponent is positive, move the decimal point to the right.

6 How to write a exponent in standard form
15. 7 ∙ ,000,000 There are 7 trailing zeros ∙ 10 − There are 2 leading zeros ∙ There are 2 trailing zeros

7 Practice : How to write a exponent in standard form
∙ 10 − There are 3 leading zeros ∙ 10 − There are 4 leading zeros ∙ There are 2 trailing zeros

8 Core Concept: How to write a number in scientific notation
Check for a decimal point. If there is no one, put on at the end of the number. Step 1: Move the decimal to the right or left so that factor is between 1 to 10. Step 2: Count the number of place you moved and indicate that as the exponent of the 10. Left is positive and Right is negative. .

9 How to write a number in scientific notation
∙ 10 −3 4. 5,430, ∙ ,000, ∙ 10 8

10 Practice how to write a number in scientific notation
∙ 10 − ∙ 10 − ,700, ∙ 10 7

11 Practice how to write a number in scientific notation
9. 45,600,000, ∙ ∙ 10 − , ∙ 10 5

12 10.7 Operation in Scientific Notation Date 2/22/19
Take out your Homework but don’t turn it in. Copy down Essential Question Work on Warm Up. Essential Question How can you perform operation with numbers written in scientific notation? Warm Up: Solve each of the following problems 67,000,000,000, ,000,000,000,000= 520,000,000,000−30,000,000,000= 2,000,000∙500,000= 800,000,000÷50,000=

13 Discovery Activity: Question: is there an easier way to answer this question? 67,000,000,000, ,000,000,000,000= 520,000,000,000−30,000,000,000= 2,000,000∙500,000= 800,000,000÷50,000= Yes by putting it in scientific notation

14 Discovery Activity Solve 6.7∙ 10 13 +1.3∙ 10 13 =
520,000,000,000−30,000,000,000= 2,000,000∙500,000= 800,000,000÷50,000=

15 Discovery Activity Solve 6.7∙ 10 13 +1.3∙ 10 13 =
5.2∙ − 0.3∙ = 2,000,000∙500,000= 800,000,000÷50,000=

16 Discovery Activity Solve 6.7∙ 10 13 +1.3∙ 10 13 =
5.2∙ − 0.3∙ = 2.0∙ 10 6 ∙5.0∙ 10 5 = 800,000,000÷50,000=

17 Discovery Activity Solve 6.7∙ 10 13 +1.3∙ 10 13 =
5.2∙ − 0.3∙ = 2.0∙ 10 6 ∙5.0∙ 10 5 = 8.0∙ 10 8 ÷5.0∙ 10 4 =

18 https://www.desmos.com/scientific Laptop Activity
Each person( you can share) get a laptop and go to the following website Solve 6.7∙ ∙ = 5.2∙ − 0.3∙ = 2.0∙ 10 6 ∙5.0∙ 10 5 = 8.0∙ 10 8 ÷5.0∙ 10 4 =

19 Practice how to add, subtract, multiply, and divide in scientific notation
Solve 6.7∙ ∙ = 5.2∙ − 0.3∙ = 2.0∙ 10 6 ∙5.0∙ 10 5 = 8.0∙ 10 8 ÷5.0∙ 10 4 =

20 Practice how to add, subtract, multiply, and divide in scientific notation
Solve 6.7∙ ∙ = Enter exactly this in the calculator

21 Practice how to add, subtract, multiply, and divide in scientific notation
Solve 6.7∙ ∙ =𝟖.𝟎∙ 𝟏𝟎 𝟏𝟑 Enter exactly this in the calculator

22 Practice how to add, subtract, multiply, and divide in scientific notation
Solve 6.7∙ ∙ =𝟖.𝟎∙ 𝟏𝟎 𝟏𝟑 5.2∙ − 0.3∙ = 2.0∙ 10 6 ∙5.0∙ 10 5 = 8.0∙ 10 8 ÷5.0∙ 10 4 =

23 Practice how to add, subtract, multiply, and divide in scientific notation
Solve 6.7∙ ∙ =𝟖.𝟎∙ 𝟏𝟎 𝟏𝟑 5.2∙ − 0.3∙ = 4.𝟗∙ 𝟏𝟎 𝟏𝟏 2.0∙ 10 6 ∙5.0∙ 10 5 = 8.0∙ 10 8 ÷5.0∙ 10 4 =

24 Practice how to add, subtract, multiply, and divide in scientific notation
Solve 6.7∙ ∙ =𝟖.𝟎∙ 𝟏𝟎 𝟏𝟑 5.2∙ − 0.3∙ = 𝟒.𝟗∙ 𝟏𝟎 𝟏𝟏 2.0∙ 10 6 ∙5.0∙ 10 5 =𝟏.𝟎∙ 𝟏𝟎 𝟏𝟐 8.0∙ 10 8 ÷5.0∙ 10 4 =

25 Practice how to add, subtract, multiply, and divide in scientific notation
Solve 6.7∙ ∙ =𝟖.𝟎∙ 𝟏𝟎 𝟏𝟑 5.2∙ − 0.3∙ = 𝟒.𝟗∙ 𝟏𝟎 𝟏𝟏 2.0∙ 10 6 ∙5.0∙ 10 5 =𝟏.𝟎∙ 𝟏𝟎 𝟏𝟐 8.0∙ 10 8 ÷5.0∙ 10 4 = 𝟏.𝟔∙ 𝟏𝟎 𝟒

26 Practice how to add, subtract, multiply, and divide in scientific notation
Find the sun or difference. Write your answer in scientific notation. 5.2∙ 10 8 1.264∙ 10 −5 2.51∙ 10 −3 7.555∙ 10 7

27 Practice how to add, subtract, multiply, and divide in scientific notation
Find the product or quotient. Write your answer in scientific notation. 3.0∙ 10 −6 1.5 0.5 2.88∙ 10 −7


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