1 / 19

HW # 48 - p. 194 # 1-37 odd Warm up

Week 14, Day Two. HW # 48 - p. 194 # 1-37 odd Warm up. Simplify . 1. 5 2 2. 8 2. 3. 12 2 4. 15 2. 5. 20 2 6. x 2 * y 7 * x -1 * y 3. Week 14, Day Two. HW # 48 - p. 194 # 1-37 odd Warm up. Simplify . 1. 5 2 2. 8 2. 64. 25. 225. 144. 3. 12 2 4. 15 2. 400.

rolf
Download Presentation

HW # 48 - p. 194 # 1-37 odd Warm up

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. Week 14, Day Two HW # 48- p. 194 # 1-37 odd Warm up Simplify. 1. 522. 82 3. 1224. 152 5.202 6. x2 * y7 * x-1 * y3

  2. Week 14, Day Two HW # 48- p. 194 # 1-37 odd Warm up Simplify. 1. 522. 82 64 25 225 144 3. 1224. 152 400 5.202 6. x2 * y7 * x-1 * y3

  3. Homework Check Practice Worksheet 4-5 11,580,000 2) 131,600 3) 0.002185 4)7.5 X 107 5) 2.08 x 102 6)9.071 x 105 7) 5.6 x 101 8) 9.3 x 10-2 9) 6.0 x 10-5 10) 8.52 x 10-3 11) 5.05 x 10-212) 3.007 x 10-3 13) 254 14) 0.067 15)1140 16) 0.38 17) 0.00753 18) 56,000 19) 910,000 20) 0.000608 21) 859,000 22) 3,331,000 23) 0.00721 24) 0.000588 25) 7.7812 x 108 26) the hair

  4. Goals for Today • 4-6 Squares and Square Roots • Opener- (looking for patterns) • 4-6 Review for Mastery (notes) • Begin your homework

  5. Extra slides for help if you need it. Please note, the square root signs may be off center.

  6. Vocabulary square root principal square root perfect square

  7. 3 Area = 32 3 Because the area of a square can be expressed using an exponent of 2, a number with an exponent of 2 is said to be squared. You read 32 as “three squared.” The square root of a number is one of the two equal factors of that number. Squaring a nonnegative number and finding the square root of that number are inverse operations.

  8. Positive real numbers have two square roots, one positive and one negative. The positive square root, or principle square root, is represented by . The negative square root is represented by – .

  9. A perfect square is a number whose square roots are integers. Some examples of perfect squares are shown in the table.

  10. Writing Math You can write the square roots of 16 as ±4, which is read as “plus or minus four.”

  11. 49 = 7 49 = –7 – 100 = 10 100 = –10 – Additional Example: 1 Finding the Positive and Negative Square Roots of a Number Find the two square roots of each number. A. 49 7 is a square root, since 7 • 7 = 49. –7 is also a square root, since –7 • (–7) = 49. The square roots of 49 are ±7. B. 100 10 is a square root, since 10 • 10 = 100. –10 is also a square root, since –10 • (–10) = 100. The square roots of 100 are ±10.

  12. 25 = 5 25 = –5 – 144 = 12 144 = –12 – Check It Out! Example 1 Find the two square roots of each number. A. 25 5 is a square root, since 5 • 5 = 25. –5 is also a square root, since –5 • (–5) = 25. The square roots of 25 are ±5. B. 144 12 is a square root, since 12 • 12 = 144. –12 is also a square root, since –12 • (–12) = 144. The square roots of 144 are ±12.

  13. So 169 = 13. Additional Example 2: Application A square window has an area of 169 square inches. How wide is the window? Find the square root of 169 to find the width of the window. Use the positive square root; a negative length has no meaning. 132 = 169 The window is 13 inches wide.

  14. 16 = 4 Check It Out! Example 2 A square shaped kitchen table has an area of 16 square feet. Will it fit through a van door that has a 5 foot wide opening? Find the square root of 16 to find the width of the table. Use the positive square root; a negative length has no meaning. So the table is 4 feet wide, which is less than 5 feet, so it will fit through the van door.

  15. 144c2 = (12c)2 z6 = (z3)2 Additional Example 3: Finding the Square Root of a Monomial Simplify the expression. A. 144c2 Write the monomial as a square. = 12|c| Use the absolute-value symbol. B. z6 Write the monomial as a square: z6 = (z3)2 = |z3| Use the absolute-value symbol.

  16. 100n4 = (10n2)2 Additional Example 3: Finding the Square Root of a Monomial Simplify the expression. C. 100n4 Write the monomial as a square. 10n2 is nonnegative for all values of n. The absolute-value symbol is not needed. = 10n2

  17. 121r2 = (11r)2 p8 = (p4)2 Check It Out! Example 3 Simplify the expression. A. 121r2 Write the monomial as a square. Use the absolute-value symbol. = 11|r| B. p8 Write the monomial as a square: p8 = (p4)2 = |p4| Use the absolute-value symbol.

  18. 81m4 = (9m2)2 Check It Out! Example 3 Simplify the expression. C. 81m4 Write the monomial as a square. 9m2 is nonnegative for all values of m. The absolute-value symbol is not needed. = 9m2

  19. Find the two square roots of each number. 1. 144 2. 2500 Simplify each expression. 3. 49p6 4. z8 Lesson Quiz ±12 ±50 7|p3| z4 5. Ms. Estefan wants to put a fence around 3 sides of a square garden that has an area of 225 ft2. How much fencing does she need? 45 ft

More Related