Download presentation

Presentation is loading. Please wait.

Published byHoward Gaines Modified over 8 years ago

1
Exponents and Scientific Notation 5.1 1.Evaluate exponential forms with integer exponents. 2.Write scientific notation in standard form. 3.Write standard form numbers in scientific notation.

2
Objective 1 Evaluate exponential forms with integer exponents.

3
When an equation in one variable is solved the answer is a point on a line. Identify the base, exponent and evaluate. Base: Exponent: Value: Base: Exponent: Value: Base: Exponent: Value: Base: Exponent: Value: 2 5 32 -2 3 -8 -2 4 16 2 4 -16

4
Evaluate: – 3 2 a) 9 b) –6 c) 6 d) 9

5
Evaluate: – 3 2 a) 9 b) –6 c) 6 d) 9

6
Evaluate: a) -93 b) 15 c) 105 d) None of the above

7
Evaluate: a) -93 b) 15 c) 105 d) None of the above

8
Evaluating Exponential Forms with Negative Bases (negative number) even exponent = positive (negative number) odd exponent = negative

9
When an equation in one variable is solved the answer is a point on a line. Evaluate.

10
Raising a Quotient to a Power If a and b are real numbers, where b 0 and n is a natural number, then

11
Observe the pattern…. 1

12
Zero as an Exponent If a is a real number and then

13
When an equation in one variable is solved the answer is a point on a line. Evaluate: 1 1 – 1 1

14
When an equation in one variable is solved the answer is a point on a line. Evaluate: 6 1 – 1 1 – 1 = 0

15
When an equation in one variable is solved the answer is a point on a line. Evaluate: Indeterminate -6x 2

16
Observe the pattern…. Negative exponents are POSITIONAL only!!!

17
If a is a real number, where a 0 and n is a natural number, then Exponents must be positive before you can evaluate!!!

18
When an equation in one variable is solved the answer is a point on a line. Simplify:

19
Negative exponents are POSITIONAL only!!!

20
If a is a real number, where a 0 and n is a natural number, then

21
When an equation in one variable is solved the answer is a point on a line. Simplify:

23
If a and b are real numbers, where a 0 and b 0 and n is a natural number, then

24
Slide 5- 24 Copyright © 2011 Pearson Education, Inc. Evaluate: – 2 –6 a) b) c) d) 64 5.1

25
Slide 5- 25 Copyright © 2011 Pearson Education, Inc. Evaluate: – 2 –6 a) b) c) d) 64 5.1

26
Objective 2 Write scientific notation in standard form.

27
Scientific notation: A number expressed in the form where a is a decimal number with and n is an integer.

28
Write 875,000 in scientific notation.

29
Write 0.0000000472 in scientific notation.

30
Write in standard form: = 426,000

31
Write in standard form: =.000387

32
Slide 5- 32 Copyright © 2011 Pearson Education, Inc. Write 13,030,000 in scientific notation. a) b) c) d) 5.1

33
Slide 5- 33 Copyright © 2011 Pearson Education, Inc. Write 13,030,000 in scientific notation. a) b) c) d) 5.1

34
Slide 5- 34 Copyright © 2011 Pearson Education, Inc. Write in standard notation. a) 4,690,000 b) 4,690,000,000 c) 0.000000469 d) 0.00000469 5.1

35
Write in standard notation. a) 4,690,000 b) 4,690,000,000 c) 0.000000469 d) 0.00000469 5.1

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google