1. Welcome Stand Quietly Math Folder out

2. Lesson 10.7 Operations in Scientific Notations

3. DAY 1

4. Watch the videos to take notes- multiplying scientific notations
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5. Multiplying Numbers in Scientific Notation:
Rewrite the problem by grouping the factors together and then the powers together.
Multiply the factors.
Then multiply the powers of 10 by adding the exponents.
Write in scientific notation. Make sure the factor is greater than 1 and less than 10.

6. Example 1:(3.42 x 105)(4.67 x 109)
Multiply decimals: (3.42)(4.67) = 15.97
Add Exponents: 105∙109 =105+9 =1014
15.97 x 1014
15.97 = x 101
(1.597 x 101)(1014)
Rewrite in Scientific Notation if needed.
Final Answer: X 1015

7. Example 2: (2.93 x 10-2)(8.3 x 10-5)
Multiply Decimals: (2.93)(8.3) =
Add Exponents: 10-2 ∙10-5 =10-2+(-5) =10-7
x 10-7
= x 101
( x 101)(10-7)
Rewrite in Scientific Notation
Final Answer: X 10-6

8. DAY 2

9. Warm-Up #6
Simplify
∙ − ∙ 𝑏 4 ∙ 𝑏 6 𝑏 12

10. Homework
Worksheet: Lesson 10.7B Hw

11. watch and take notes https://www. bigideasmath
watch and take notes mp4/cc12/grade%208/chapter%209/section%206b/ltut_8_09_06b_3/l tut_8_09_06b_3.html Watch and don’t have to take notes

12. Dividing Numbers in Scientific Notation:
Rewrite the problem by grouping the factors together and then the powers together.
Divide the factors.
Then divide the powers of 10 by subtracting the exponents.
Write in scientific notation. Make sure the coefficient is greater than 1 and less than 10.

13. Example 1: 28 x 10 −3 2 x 10 −2 Divide decimals: 28÷2 = 14
Subtract exponents: (-3) – (-2)= -1
14 x 10 −1
14 = 1.4 x 10 1
(1.4 x )( 10 −1 )
Final Answer: 𝟏.𝟒 𝐱 𝟏𝟎 𝟎 or 1.4

14. Example 2: 3.45 x 10 2 1.23 x 10 −5 Divide decimals: 3.45 ÷ 1.23= 2.81
Subtract exponents: 2 – (-5) =7
Answer: X 107

15. DAY 3

16. Watch the video before taking notes

17. Adding Subtracting Numbers in Scientific Notation:
When adding or subtracting numbers in scientific notation, the exponents must be the same. If it is not the same exponents then you need to change one exponent to match the other one.
Line up the decimals to add or subtract.
Write in scientific notation. Make sure the coefficient is greater than 1 and less than 10.

18. Example 1: Adding With the Same Exponents
(3.45 x 103) + (6.11 x 103)
= 9.56
check to make sure the answer is in scientific notation
9.56 x 103

19. Example 2: Subtracting With the Same Exponents
(8.96 x 107) – (3.41 x 107)
8.96 – 3.41 = 5.55
check to make sure the answer is in scientific notation
5.55 x 107

20. Example 3: (2.46 x 106) + (3.4 x 103)
Step 1 – Rewrite with the same exponents
3.4 x 103  x 103+3
(2.46 x 106) + ( x 106)
Step 2 – Add decimals =
Step 3 – Bring Down Exponents
x 106

21. Example 4:(5.762 x 103) – (2.65 x 10-1)
Step 1 – Rewrite with the same exponents
2.65 x 10-1  x 10(-1+4)
(5.762 x 103) – ( x 103)
Step 2 – Subtract Decimals
5.762 – = 5.762
Step 3 – Bring down decimals
5.762 x 103

22. Example 5: (4.12 x 106) + (3.94 x 104)
4.12 x 106 = 412 x 104
(412 x 104) + (3.94 x 104) =
x 104
= x 102
( x 102) (104)
Express in proper form: 4.15 x 106

23. Example 6: (4.23 x 103) – (9.56 x 102) (42.3 x 102) – (9.56 x 102)
42.3 – 9.56 = 32.74
32.74 x 102
32.74= x 101
(3.274 x 101) (102)
Express in proper form: 3.27 x 103