Practicing Number Systems Solutions: Evaluate Questions with Workings
Enhance your understanding of number systems by solving and evaluating various mathematical expressions in a step-by-step manner. Practice questions include addition, multiplication, and complex calculations, aiding in improving your mathematical skills.
Download Presentation
Please find below an Image/Link to download the presentation.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author. If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.
You are allowed to download the files provided on this website for personal or commercial use, subject to the condition that they are used lawfully. All files are the property of their respective owners.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.
E N D
Presentation Transcript
CHAPTER 01 Number Systems Solutions: Practice Questions 1.1
01 Practice Questions 1.1 1. Evaluate the following and show all your workings: 5 + 16 14 7 7 5 + 18 2 (i) (ii) = 7 5 + 9 = 5 + 224 7 = 2 + 9 = 5 + 32 = 11 = 37 18 9 + 2 1 13 + 6 10 2 (iii) (iv) = 13 + 60 2 = 162 + 2 1 = 13 + 30 = 164 1 = 43 = 163
01 Practice Questions 1.1 1. Evaluate the following and show all your workings: (4 2)2+ 7 13 8 2 (7 + 3) (v) (vi) = 8 2 10 = 22+ 7 13 = 4 10 = 4 + 7 13 = 40 = 4 + 91 = 95
01 Practice Questions 1.1 2. Evaluate the following and show all your workings: (15 7) (10 2)2 52 (32+ 4) + 8 + 62 (i) (ii) = (9 + 4) + 8 + 62 = 8 (5)2 52 = 13 + 8 + 62 = 8 25 25 = 13 + 8 + 36 = 8 625 = 21 + 36 = 617 = 57
01 Practice Questions 1.1 2. Evaluate the following and show all your workings: 72+ (16 2 + 52) 22 16 + (8 + (11 4)2) 5 (iii) (iv) = 16 + (8 + 72) 5 = 72+ (16 2 + 25) 22 = 16 + (8 + 49) 5 = 72+ (8 + 25) 22 = 16 + 57 5 = 72+ (33) 22 = 73 5 = 49 + 33 4 = 68 = 82 4 = 78
01 Practice Questions 1.1 2. Evaluate the following and show all your workings: (12 2)2+ ((13 2) 62) 72+ (10 2 + 52) + 22 (v) (vi) = 72+ (5 + 52) + 22 = 62+ (11 62) = 49 + (5 + 25) + 4 = 36 + (11 36) = 49 + 30 + 4 = 36 + 396 = 79 + 4 = 432 = 83
01 Practice Questions 1.1 3. Evaluate the following and show all your workings: (( 4)2+ 9) ( 4) 5 33 (6 (3 7)) (i) (ii) = 33 (6 4) = (16 + 9) ( 4) 5 = 33 ( 24) = 25 ( 4) 5 = 27 ( 24) = 100 5 = 27 + 24 = 105 = 51
01 Practice Questions 1.1 3. Evaluate the following and show all your workings: [(23 + 11) 2] 4 (72 2)2 7 4 (iii) (iv) = 362 7 4 = (34 2) 4 = 1296 7 4 = 68 4 = 1296 28 = 64 = 1268
01 Practice Questions 1.1 3. Evaluate the following and show all your workings: [( 9) + (( 84) ( 7))] ( 4)2 (v) = [( 9) + 12] ( 4)2 = 3 ( 4)2 = 3 16 = 48
01 Practice Questions 1.1 4. Matt had 35 in cash and withdrew 200 from his bank account. He bought a pair of jeans for 34 00, two t-shirts for 16 00 each, and two pairs of shoes for 24 00 each. Write an expression, and use it to determine how much money Matt had in his wallet at the end of the shopping day. 35 + 200 [(34) + (2 16) + (2 24)] = 35 + 200 (34 + 32 + 48) = 235 114 = 121
01 Practice Questions 1.1 5. A small factory employs 98 workers. Of these, 10 receive a wage of 150 per day and the rest receive 85 50 per day. To the management, a week is equal to six working days. Write an expression for these wages and work out how much the factory pays out each week. [(10 150) + (98 10) 85 50] 6 = [1500 + (88 85 50)] 6 = [1500 + 7524] 6 = 9024 6 = 54,144
01 Practice Questions 1.1 6. In a game Lillian scores 10 points less than Bob, who scores 40 points. Carol scores half as many points as Lillian. Write an expression for the number of points Carol scored and evaluate it. [(40 10) 2] = [30 2] = 15
01 Practice Questions 1.1 7. Use the order of operations and at least three of the digits 2, 4, 6, and 8 to create an expression with a value of 2. You can use exponents and/or negatives if you like. Example 2: Example 1: 6-8 [8 (4 + 2)] 2 = [8 6] = 6 4 = 2 = 2
01 Practice Questions 1.1 8. A carpet layer charges 15 per square metre to lay a carpet, and an installation fee of 50. If the room is square and each side measures 12 m, write an expression for the cost of carpeting the room and evaluate it. (122 15) + 50 = (144 15) + 50 = 2160 + 50 = 2,210
