Question

nikki read 2 books every week this past year. there are 52 weeks in a year. which equation will give nikki the best estimate of how many total books she has read in the past year? 2 books per week × 50 weeks = 100 books; 2 books per week × 60 weeks = 104 books; 2 books per week + 50 weeks = 52 books; 2 books per week + 60 weeks = 54 books

Explanation:

Step1: Analyze the operation needed

To find the total number of books, we multiply the number of books per week by the number of weeks. The exact number of weeks is 52, but for estimation, we round 52 to a nearby number that's easy to multiply. 52 is close to 50, not 60. Also, we use multiplication (not addition) because we're finding total books over weeks (books per week * weeks).

Step2: Evaluate each option

• Option 1: \( 2 \text{ books per week} \times 50 \text{ weeks} = 100 \text{ books} \). This uses multiplication (correct operation) and rounds 52 to 50 (good estimate).
• Option 2: \( 2 \text{ books per week} \times 60 \text{ weeks} = 120 \text{ books} \) (wait, original option has 104 which is wrong, but 60 is not a good estimate for 52). Also, the product here is miscalculated (2*60=120, not 104).
• Option 3: Uses addition (wrong operation, we need multiplication), so invalid.
• Option 4: Uses addition (wrong operation), so invalid.

Answer:

\( 2 \text{ books per week} \times 50 \text{ weeks} = 100 \text{ books} \) (the first option with this equation)