Pre-Algebra Demystified

ANSWERS 1. 40 2.
12 3. 24 4.
15 5.
28 6. 24 7. 324 8.
1080 9.
9216 10. 5760 Division of Integers Division can be repre ...

EXAMPLE Divideð
18 Þð
2 Þ. SOLUTION Divide 18 2 ¼9. Since both integers are negative, give the answer aþsign. Hence,ð
18 Þ ...

Exponents When the same number is multiplied by itself, the indicated product can be written inexponential notation. For example ...

SOLUTION ð
5 Þ^4 ¼ð
5 Þð
5 Þð
5 Þð
5 Þ¼ 625 EXAMPLE Find
54. SOLUTION
54 ¼
5  5  5  5 ¼
625 PRACTICE Find: 7^4 3^7 ...

This sentence could have two different meanings depending on how it is punctuated: John said, ‘‘The teacher is tall.’’ or ‘‘John ...

SOLUTION 5 þ 23
3  4 exponent ¼ 5 þ 8
3 4 multiplication ¼ 5 þ 8
12 addition ¼ 13
12 subtraction ¼ 1 EXAMPLE Simplify ...

3.
107 4. 58 5. 366 Quiz Find |
12|. (a) 12 (b)
12 (c) 0 (d) |12| Find the opposite of 3. (a) |3| (b) 0 (c)
3 (d) 3 Find ...

Add 17þð
3 Þþð
2 Þþ5. (a) 17 (b) 27 (c)
17 (d)
20 Subtract
12
3. (a)
9 (b)
15 (c) 9 (d) 15 Subtract
5
ð
9 Þ. (a) ...

(c) 540 (d) 400 Divideð
48 Þ(þ6). (a) 8 (b)
8 (c) 9 (d)
5 Divideð
22 Þð
11 Þ. (a)
2 (b) 11 (c)
11 (d) 2 Findð
9 Þ ...

CHAPTER 3 Fractions: Part 1 Basic Concepts When a whole item is divided into equal parts, the relationship of one or more of the ...

5 8 numerator denominator The denominator tells how many parts the whole is being divided into, and the numerator tells how many ...

To reduce a fraction to lowest terms, divide the numerator and the denomi- nator by the largest number that divides evenly into ...

1. 6 10 2. 4 12 3. 16 20 4. 8 18 5. 150 200 6. 28 36 7. 54 60 8. 160 216 9. 85 119 10. 2000 2400 ANSWERS 1. 3 5 2. 1 3 3. 4 5 4. ...

8. 20 27 9. 5 7 10. 5 6 Changing Fractions to Higher Terms The opposite of reducing fractions is changing fractions to higher te ...

Change 3 10 to 90ths. ANSWERS 1. 3 27 2. 18 48 3. 65 80 4. 57 75 5. 27 90 Changing Improper Fractions to Mixed Numbers An impr ...

EXAMPLE Change^156 to a mixed number. SOLUTION Divide 15 by 6, as shown: 2 6 Þ 15
12 3 Write the answer as 2^36 and reduce^36 ...

4. 70 15 5. 14 6 ANSWERS 1. 1^15 2. 3^23 3. 1 133 4. 4^23 5. 2^13 Changing Mixed Numbers to Improper Fractions A mixed number ca ...

SOLUTION 945 ¼ 5  9 þ 4 5 ¼ 49 5 Math Note: Any whole number can be written as a fraction by placing the whole number over one. ...

(a) 1 2 (b) 1 3 (c) 1 4 (d) 3 4 What fraction is shown by the shaded portion of Fig. 3-4? (a) 4 5 (b) 5 9 (c) 5 4 (d) 4 9 Whi ...

(a) 6 5 (b) 3 4 (c) 7 1 (d) 3 3 Which of the following is an improper fraction? (a) 5 8 (b) 3 5 (c) 2 3 (d) 9 7 Which of the ...