Question 3
0/5 pts
Describe two quick ways to find approximately 33% of 59 books. Write out your methods, then compare to
ours.
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Answer :

Certainly! To find approximately 33% of 59 books, we will go through two quick methods that can be used without doing the exact calculation. Here are the steps for each method: ### Method 1: Direct Proportion 1. Understand the percentage: We know that 33% is equivalent to 33 out of every 100 parts. 2. Translate this percentage to a decimal by dividing it by 100: 33% equals 0.33 in decimal form. 3. Multiply the total number of books (which is 59) by this decimal: \( 59 \times 0.33 \). 4. Perform the multiplication: \( 59 \times 0.33 = 19.47 \). 5. Since we are looking for an approximate and you cannot have a fraction of a book, you would round down to the nearest whole number: The approximation would be 19 books. ### Method 2: Rule of Thirds 1. Recognize that 33% is roughly one third. 2. To find one third of the books, divide the total number of books by 3: \( \frac{59}{3} \). 3. Calculate the division: \( \frac{59}{3} = 19.666... \). 4. Round down to avoid fractions of a book: You would get approximately 19 books. ### Comparison: Both methods yield the approximate answer of 19 books: - The direct proportion method involves converting the percentage to a decimal and then multiplying it by the total. - The rule of thirds simplifies the process by recognizing that 33% is close to one third and uses direct division. These methods are both estimations and work because you are rounding down to the nearest whole book; in cases where you require precision, you would use the exact decimal result without rounding.