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

2024
Views:

375

Pages:

3
Author:

Delphinixxc3

Question 1 How do you write 0.3 as a fraction? Answer 1 See below. You can write 0.3 as a fraction in a couple of ways: 30 100 = 0.30 100 30 =0.30 3 10 = 0.30 10 3 =0.30 Answer 2 This fraction is literally read as "three tenths," which tells us that we will have a denominator of 10, and a numerator of 3. 0.3 = 3 10 0.3= 10 3 In general, if we have 0.d where d represents any digit, this decimal as a fraction will be: 𝑑 10 10 d This is true because that digit lands in the tenths place. Hope this helps! Question 2 How do you write the fraction 2 3 3 2 as a decimal? Answer 1 Solution: If a calculator is used, 2 3 3 2 and convert it into fraction it would display 0.666... with infinite sixes. We may also express it as 0.6̅. Answer 2 To convert a fraction into decimal, simply divide the numerator, which is the number at the top, by the denominator, which is the number at the bottom. 2 3 = 0.67 3 2 =0.67 Answer 3 To change a fraction into a decimal, you treat it as a division. 2 3 = 2 ÷ 3 3 2 =2÷3 is such a case. The working is: 2 ÷ 3 = 0 2÷3=0 bring down the decimal point. 20 ÷ 3 = 6 20÷3=6 and carry the remainder 2 to make 20. This gives the recurring decimal 0.66666... Question 3 How do you write 5 6 6 5 as a percent? Answer 1 "Percent" or "%" means "out of 100" or "per 100". Therefore, x% can be written as: 𝑥 100 100 x As a result, we can write an equation as and find the value of x: 𝑥 100 = 5 6 100 x = 6 5 Cross-multiplying: 100 × 𝑥 100 = 100 × 5 6 100× 100 x =100× 6 5 𝑥 = 83.3 x=83.3 Thus, 5 6 = 83.3 % 6 5 =83.3% Answer 2 Fractions, decimals, and percents are all different ways of writing the same number. The easiest one is: 1 2 = 0.5 = 0.50 = 50 100 = 50 % 2 1 =0.5=0.50= 100 50 =50% So, 5 6 = 83.3333 % 6 5 =83.3333% Question 4 What is the percent form of 1 3 3 1 ? Answer 1 1 3 × 100 % = 33.33 % 3 1 ×100%=33.33% Answer 2 The percent form of 1 3 3 1 is 33.33%. Question 5 Convert 0.8% into a decimal and fraction, please. Answer 1 0.8 % = 0.8 100 = 8 1000 = 0.008 as a decimal. 0.8%= 100 0.8 = 1000 8 =0.008 as a decimal. And as a fraction: 8 1000 = 1 125 1000 8 = 125 1 Answer 2 Percent is a ratio expressed as a fraction out of hundred. To convert percent to a fraction, divide by 100. So, 0.8 % = 1 125 as a fraction, and 0.008 as a decimal. 0.8%= 125 1 as a fraction, and 0.008 as a decimal. Answer 3 0.8% Fraction form: 1 125 125 1 Decimal form: 0.008