1 / 33

Lesson Menu

Lesson Menu. Main Idea and New Vocabulary NGSSS Example 1: Write Expressions Using Powers Example 2: Write Expressions Using Powers Example 3: Write Expressions Using Powers Example 4: Write Expressions Using Powers Example 5: Write Expressions Using Powers Example 6: Evaluate Powers

blondelle-kayson
Download Presentation

Lesson Menu

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Lesson Menu Main Idea and New Vocabulary NGSSS Example 1: Write Expressions Using Powers Example 2: Write Expressions Using Powers Example 3: Write Expressions Using Powers Example 4: Write Expressions Using Powers Example 5: Write Expressions Using Powers Example 6: Evaluate Powers Example 7: Evaluate Powers Example 8: Real-World Example Key Concept: Order of Operations Example 9: Evaluate Algebraic Expressions Example 10: Evaluate Algebraic Expressions Five-Minute Check

  2. Use powers and exponents to write large and small numbers. • power • base • exponent Main Idea/Vocabulary

  3. MA.8.A.6.1 Use exponents and scientific notation to write large and small numbers and vice versa and to solve problems. NGSSS

  4. Write Expressions Using Powers Write 7 • 7 • 7 • 7 using exponents. The base 7 is a factor 4 times. So, the exponent is 4. 7 • 7 • 7 • 7 = 74 Answer: 74 Example 1

  5. Write 11 • 11 • 11 • 11 •11 •11 using exponents. A. 6 • 11 B. 611 C. 116 D. 117 Example 1 CYP

  6. Write Expressions Using Powers Write (–9)(–9)(–9) using exponents. The base –9 is a factor 3 times. So, the exponent is 3. (–9)( –9)(–9)= (–9)3 Answer: (–9)3 Example 2

  7. Write (–4)(–4)(–4)(–4)(–4) using exponents. A. (–4)4 B. (–4)5 C. (–4)(5) D. 5–4 Example 2 CYP

  8. Write Expressions Using Powers Write a• a • a • a • a using exponents. The base a is a factor 5 times. So, the exponent is 5. a • a • a • a • a = a5 Answer: a5 Example 3

  9. Write y • y • y • y • y • y • y using exponents. A.y7 B.y6 C. 7y D. 7y Example 3 CYP

  10. Write Expressions Using Powers Write 4 • 4 • 6 • 6 • 6 • 6 • 6 using exponents. 4 • 4 • 6 • 6 • 6 • 6 • 6 = (4 • 4) • (6 • 6 • 6 • 6 • 6)Associative Property = 42 • 65Definition of exponents Answer: 42 • 65 Example 4

  11. Write (–2) • (–2) • (–2) • 7 • 7 using exponents. A. (–2) • 7 B. (–2)3• 73 C. (–2)3• 72 D. (–2)(3) • 72 Example 4 CYP

  12. Write Expressions Using Powers Write x• y • x • y • x •x using exponents. x • y • x • y • x • x = x • x • x • x • y • yCommutative Property = (x • x • x • x)•(y • y) Associative Property = x4 • y2Definition of exponents Answer: x4 • y2 Example 5

  13. Write j • j • k • k • j using exponents. A.j•k B. 3j• 2k C.j3•k2 D.j2•k3 Example 5 CYP

  14. Evaluate Powers Evaluate (–5)2. (–5)2 = (–5) • (–5) Write the power as a product. = 25 Multiply. Answer: 25 Example 6

  15. Evaluate (–4)5. A.–1,024 B.–20 C.625 D.1,024 Example 6 CYP

  16. Evaluate . Write the power as a product. Multiply. Answer: Evaluate Powers Example 7

  17. Evaluate . A. B. C. D. Example 7 CYP

  18. RACQUETBALLA racquetball court has an area of 2 • 42• 52square feet. What is the area of the racquetball court? 2 • 42 • 52 = 2 • 4 • 4 • 5 • 5 Write the power as a product. = 2 • (4 • 4) • (5 • 5) Associative Property = 2 • 16 • 25 or 800 Multiply. Answer: The racquetball court has an area of about 800 square feet. Example 8

  19. GARDENSA community vegetable garden has an area of 3 • 43• 62 square feet. What is the area of the garden? A.72 square feet B.1,152 square feet C.1,296 square feet D.6,912 square feet Example 8 CYP

  20. Key Concept 9

  21. Evaluate Algebraic Expressions Evaluate x3 + y5 if x = 4 and y = 2. x3 + y5 = 43 + 25Replace x with 3 and y with 2. = (4 • 4 • 4) + (2 • 2 • 2 • 2 • 2) Write the powers as products. = 64 + 32 or 96 Add. Answer: 96 Example 9

  22. Evaluate a4 – b2 if a = 3 and b = 5. A.76 B.56 C.4 D.2 Example 9 CYP

  23. Evaluate Algebraic Expressions Evaluate (x + y)2 if x = 4 and y = 2. (x + y)2 = (4 + 2)2Replace x with 4 and y with 2. = 62 Perform operations in the parentheses first. = 6 • 6 or 36 Write the powers as products. Then simplify. Answer: 36 Example 10

  24. Evaluate (r + s)4 if r = –3 and s = 7. A.64 B.81 C.256 D.10,000 Example 10 CYP

  25. Write c • c • c • c • c • c • c • c • c using exponents. A. 9c B.c9 C. 9c D. 9c2 Five Minute Check 1

  26. Write 8 • 8 • 8 • 8 • 8 using exponents. A. 5(8) B. 58 C. 84 D. 85 Five Minute Check 2

  27. Write • x • y • x • x • y • • x • x • x • y using exponents. A. B. C. D. Five Minute Check 3

  28. Evaluate 29. A. 18 B. 36 C. 81 D. 512 Five Minute Check 4

  29. Evaluate 63. A. 18 B. 36 C. 108 D. 216 Five Minute Check 5

  30. Write m • n • m • p • m • n • m •p • n • m • p using exponents. A.m3n5p3 B.m3n3p3 C.m5n3p5 D.m5n3p3 Five Minute Check 6

More Related