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

2024
Views:

34

Pages:

2
Author:

Delphinixxc3

Question 1 What is the reciprocal of 2? Answer 1 Reciprocal means to "flip the fraction." So, 2 is basically 2 1 1 2 . If you flip 2 1 1 2 , it becomes 1 2 2 1 . So, the reciprocal of 2 is 1 2 2 1 , which can also be written as 0.5. Question 2 What is the simplified value of 2 9 + 1 8 − 7 8 + 5 6 9 2 + 8 1 − 8 7 + 6 5 ? Answer 1 To simplify 2 9 + 1 8 − 7 8 + 5 6 9 2 + 8 1 − 8 7 + 6 5 , we need a common denominator. The Least Common Denominator (LCD) of 9, 8, and 6 is 72. Rewrite each fraction with a denominator of 72: 2 9 = 16 72 , 1 8 = 9 72 , 7 8 = 63 72 , 5 6 = 60 72 9 2 = 72 16 , 8 1 = 72 9 , 8 7 = 72 63 , 6 5 = 72 60 Substitute and simplify: 16 72 + 9 72 − 63 72 + 60 72 = 16 + 9 − 63 + 60 72 = 22 72 = 11 36 72 16 + 72 9 − 72 63 + 72 60 = 72 16+9−63+60 = 72 22 = 36 11 So, the simplified value is 11 36 36 11 . Question 3 How do I convert a mixed number into a decimal? Answer 1 If you have a mixed number 𝑎 𝑏 𝑐 a c b , convert 𝑏 𝑐 c b into decimal form and add it to the whole number 𝑎 a. For example: Convert 3 3 8 3 8 3 to a decimal. 3 8 = 0.375 8 3 =0.375 So, 3 3 8 = 3 + 0.375 = 3.375 3 8 3 =3+0.375=3.375. Another example: Convert 5 3 7 5 7 3 to a decimal. 3 7 ≈ 0.428571 7 3 ≈0.428571 So, 5 3 7 ≈ 5.428571 5 7 3 ≈5.428571 (or rounded to four decimal places, 5.4286). Question 4 What is 3 4 4 3 as a decimal? Answer 1 To convert 3 4 4 3 into a decimal, divide 3 by 4: 3 ÷ 4 = 0.75 3÷4=0.75 So, 3 4 4 3 as a decimal is 0.75. Question 5 How do you convert 0.004% into a fraction? Answer 1 To convert 0.004% into a fraction: Write 0.004% as a fraction out of 100: 0.004 % = 0.004 100 0.004%= 100 0.004 Simplify: 0.004 100 = 4 100000 = 1 25000 100 0.004 = 100000 4 = 25000 1 So, 0.004% as a fraction is 1 25000 25000 1 .