University:
Purdue University
Course:
MA 15300 | College Algebra
Academic year:

2024
Views:

74

Pages:

4
Author:

Delphinixxc3

Question 1 What is 0.5 0.5 as a fraction? Answer 1 Explanation: 0.5 = 5 10 = 1 2 0.5= 10 5 = 2 1 Answer 2 0.5 0.5 is said as "five-tenths" because it is one place after the decimal. Simplify 5 10 = 1 2 10 5 = 2 1 . Question 2 How is this fraction calculated? 1 / 2 + 1 / 4 1/2+1/4 Answer 1 Explanation: We need a common denominator for 1 2 2 1 and 1 4 4 1 . The common denominator is 4. Convert 1 2 2 1 to 2 4 4 2 , then add: 2 4 + 1 4 = 3 4 4 2 + 4 1 = 4 3 Answer 2 Convert both fractions to have the same denominator: 1 2 = 2 4 2 1 = 4 2 Now add: 2 4 + 1 4 = 3 4 4 2 + 4 1 = 4 3 Question 3 How can I simplify 8 − 2 8 −2 ? Answer 1 Using the law of exponents: 𝑛 − 𝑘 = 1 𝑛 𝑘 n −k = n k 1 So, 8 − 2 = 1 8 2 = 1 64 8 −2 = 8 2 1 = 64 1 Question 4 What is the fraction 4 9 9 4 simplified? Answer 1 The fraction 4 9 9 4 cannot be simplified because there is no common factor between 4 and 9. Answer 2 Explanation: Since 4 and 9 have no common factors, 4 9 9 4 is already in its simplest form. Question 5 How do you change − 1 2 − 2 1 into a decimal? Answer 1 A method to change a fraction to a decimal is through division: − 1 2 = − 0.5 − 2 1 =−0.5 Answer 2 You can divide − 1 ÷ 2 = − 0.5 −1÷2=−0.5. Thus, − 1 2 = − 0.5 − 2 1 =−0.5.