Mini-Lecture 1.7: Multiplying and Dividing Real Numbers | Lecture Note - Edubirdie

University:
Montgomery College
Course:
MATH 130: Elements of Mathematics I: Mathematical Reasoning and Number Systems
Academic year:

2023
Views:

492

Pages:

1
Author:

Dania Lynch

Mini-Lecture 1.7 Multiplying and Dividing Real Numbers Learning Objectives 1. Multiply and divide real numbers. 2. Evaluate algebraic expressions using real numbers. Examples 1. Multiply the real numbers. a) -6(5) b) (-11)(-3) 3 ⎛ 10 ⎞ c) − ⎜ ⎟ 5 ⎝ 21 ⎠ Find the reciprocal of the real number. 3 e) f) 5 7 g) − d) 2(-5)(-1)(-3) 5 21 h) 0.3 Divide the real numbers. i) 27 −3 j) −90 ÷ ( −5 ) 1 ⎛ 8⎞ k) − ÷ ⎜ − ⎟ 2 ⎝ 15 ⎠ l) −22 0 2. Evaluate each expression. a) 2x – y2, when x = 4, y = -3 c) b) −2 − x , when x = −4, y = 6 y −5 −6 x − 4 y when x = 5, y = -1 , z = 0 −2 z + 3 − (−10) e) (-7)2 d) -82 f) −18 g) ( −1)87 Teaching Notes: • • Most students find multiplying and dividing real numbers relatively easy. 0 5 = undefined. Many students confuse = 0 and 5 0 • Many students have difficulty with the fact that −52 ≠ ( −5 ) • Each section in the text has 3 worksheets in the Extra Practice featuring differentiated learning. 2 Answers: 1a) -30; 1b) 33; 1c) -2/7; 1d) -30; 1e) 7/3; 1f) 1/5; 1g) -21/5; 1h) 10/3; 1i) -9; 1j) 18; 1k) 15/16; 1l) undefined; 2a) -1, 2b) 2, 2c) -2, 2d) -64, 2e) 49, 2f) -1, 2g) -1

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