Question

Millie has a block of cheese that weighs 35 pounds and she wants to divide it into portions that weigh 1/4 pound. How many portions will she have? Choose ALL correct ways to show or explain the quotient.

Options:

Option 1: Millie will have 140 portions, as you can calculate by dividing 35 by 1/4.

Option 2: To find the number of portions, you should divide 35 by 1/4. This means 35 ÷ 1/4, which is equivalent to 35 × 4. So, Millie will have 140 portions.

Option 3: The quotient is obtained by dividing 35 by 1/4, which is equivalent to multiplying 35 by 4. Therefore, Millie will have 140 portions.

Option 4: Millie will have 140 portions because when you divide 35 by 1/4, you get the result of 140.

Answer 1

All options provided lead to the correct answer: by dividing 35 pounds of cheese by 1/4 pound, we find that Millie will have 140 portions of cheese.

Step-by-step explanation:

The student's question pertains to how many portions Millie will have if she divides a 35-pound block of cheese into portions that weigh 1/4 pound each. To solve this, we divide the total weight of the cheese by the weight of one portion.

Option 1: 140 portions. Here's the calculation: 35 ÷ 1/4.

Option 2: This demonstrates the process of division by a fraction, which can be converted to multiplication by the reciprocal of the fraction. So, 35 ÷ 1/4 is equal to 35 × 4 which equals 140 portions.

Option 3: This option restates the process mentioned in Option 2, affirming that the quotient of 35 divided by 1/4 is indeed 140 portions.

Option 4: This option gives the direct answer without detailing the steps, that dividing 35 by 1/4 yields a result of 140.

In conclusion, all the options are correct and show that Millie can divide the block of cheese into 140 portions of 1/4 pound each.