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B. Powers and Exponent Laws Math 9. Outcomes N9.1 Demonstrate (concretely, pictorially, and symbolically) understanding of powers with integral bases.

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Presentation on theme: "B. Powers and Exponent Laws Math 9. Outcomes N9.1 Demonstrate (concretely, pictorially, and symbolically) understanding of powers with integral bases."— Presentation transcript:

1 B. Powers and Exponent Laws Math 9

2 Outcomes N9.1 Demonstrate (concretely, pictorially, and symbolically) understanding of powers with integral bases (excluding base 0) and whole number exponents including: representing using powers evaluating powers powers with an exponent of zero solving situational questions.

3 Big Idea Powers (exponents) are a short hand way of writing repeated multiplication. They are the “E” in BEDMAS.

4 Key Terms

5 1. What is a Power or Exponent? N9.1 Demonstrate (concretely, pictorially, and symbolically) understanding of powers with integral bases (excluding base 0) and whole number exponents including: representing using powers evaluating powers powers with an exponent of zero solving situational questions.

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10 Example 1

11 Example 2

12 Example 3

13 Practice Ex. 2.1 (p.55) #1-14 oie, 15-17 Or #4-6, 13-25

14 2. Powers of Ten and Exponent of Zero N9.1 Demonstrate (concretely, pictorially, and symbolically) understanding of powers with integral bases (excluding base 0) and whole number exponents including: representing using powers evaluating powers powers with an exponent of zero solving situational questions.

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17 What do you think 10 0 will give you as result?

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20 Example 1

21 Example 2

22 Example 3

23 Practice Ex. 2.3 (p.61) #1-13 Or #4-15

24 3. Order of Operations with Powers N9.1 Demonstrate (concretely, pictorially, and symbolically) understanding of powers with integral bases (excluding base 0) and whole number exponents including: representing using powers evaluating powers powers with an exponent of zero solving situational questions.

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26 BEDMAS 1. Brackets 2. Exponents 3. Division and multiplication (work left to right) 4. Adding and Subtracting (work left to right)

27 Example 1

28 Example 2

29 Example 3

30 Practice Ex. 2.3 (p.66) #3-5 oie, 6-8, 10-19 Or #7, 8 odds, 10 odds, 11, 12, 14 odds, 15-26

31 4. Exponent Laws N9.1 Demonstrate (concretely, pictorially, and symbolically) understanding of powers with integral bases (excluding base 0) and whole number exponents including: representing using powers evaluating powers powers with an exponent of zero solving situational questions.

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39 When dividing powers that have the same base you always want to subtract the smaller exponent from the larger exponent and the result is left in the same location of the higher power (numerator or denominator)

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41 Example 1

42 Example 2

43 Example 3

44 Practice Ex. 2.4 (p.76) #1,2, 4-5 oie, 8-16 oie with multiple questions OR #8-23 oie with multiple questions

45 5. Exponent Laws Continued N9.1 Demonstrate (concretely, pictorially, and symbolically) understanding of powers with integral bases (excluding base 0) and whole number exponents including: representing using powers evaluating powers powers with an exponent of zero solving situational questions.

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47 We can use the laws we learned last day to simplify powers written in other forms.

48 Using the laws from last day how can you simplify the power below.

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58 Example 1

59 Example 2

60 Example 3

61 Practice Ex. 2.5 (p.83) #1,2,4-8, 10,11,14 odds, 15, 16 odds, 17 odds, 18 odds Or #4-8, 10,11,14 odds, 15, 16 odds, 17 odds, 18 odds, 20, 21


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