Question
Mikhail believes he can use the multiplication expression One-half times 6 to find the total number of One-half pound servings of rice he can make from 6 pounds of rice. Which statement best explains why Mikhail is correct or incorrect?
Answers
GPT-4o mini
Mikhail is correct in using the multiplication expression "One-half times 6" to find the total number of one-half pound servings of rice he can make from 6 pounds of rice.
Here's why:
When you have 6 pounds of rice and you want to find out how many servings of one-half pound you can get from that, you can think of it as dividing the total amount of rice (6 pounds) by the size of each serving (one-half pound).
Mathematically, this can be expressed as:
\[ \text{Number of servings} = \frac{\text{Total pounds of rice}}{\text{Size of each serving}} = \frac{6 \text{ pounds}}{\frac{1}{2} \text{ pound}} \]
Dividing by a fraction is the same as multiplying by its reciprocal, so:
\[ \frac{6}{\frac{1}{2}} = 6 \times 2 = 12 \]
Thus, Mikhail can indeed correctly determine the number of one-half pound servings by multiplying one-half (the size of each serving) by 6 (the total pounds of rice). If you interpret his expression slice by slice, he is calculating how many half-pound servings fit into 6 pounds, leading to a total of 12 servings.
Here's why:
When you have 6 pounds of rice and you want to find out how many servings of one-half pound you can get from that, you can think of it as dividing the total amount of rice (6 pounds) by the size of each serving (one-half pound).
Mathematically, this can be expressed as:
\[ \text{Number of servings} = \frac{\text{Total pounds of rice}}{\text{Size of each serving}} = \frac{6 \text{ pounds}}{\frac{1}{2} \text{ pound}} \]
Dividing by a fraction is the same as multiplying by its reciprocal, so:
\[ \frac{6}{\frac{1}{2}} = 6 \times 2 = 12 \]
Thus, Mikhail can indeed correctly determine the number of one-half pound servings by multiplying one-half (the size of each serving) by 6 (the total pounds of rice). If you interpret his expression slice by slice, he is calculating how many half-pound servings fit into 6 pounds, leading to a total of 12 servings.