Question
Zoe bought 1.5 pounds of apples for $3.50 per pound. She wanted to find the total cost using partial products.
What are the partial products that Zoe needs to solve the problem?
A) 0.18
B) 3
C) 0.25
D) 0.5
E) 1.5
F) 0.05
What are the partial products that Zoe needs to solve the problem?
A) 0.18
B) 3
C) 0.25
D) 0.5
E) 1.5
F) 0.05
Answers
GPT-4o mini
To find the total cost of the apples Zoe bought using partial products, we'll consider the math behind multiplying 1.5 pounds by $3.50 per pound.
Firstly, break down the multiplication into manageable parts. We can express 1.5 as 1 + 0.5, and we can express $3.50 as $3 + $0.50.
Now, we can set up the equation:
\[
1.5 \times 3.50 = (1 + 0.5) \times (3 + 0.5)
\]
To find the partial products, we can calculate the following:
1. \(1 \times 3 = 3\)
2. \(1 \times 0.5 = 0.5\)
3. \(0.5 \times 3 = 1.5\)
4. \(0.5 \times 0.5 = 0.25\)
So the partial products of the multiplication would be:
- \(3\) (from \(1 \times 3\))
- \(0.5\) (from \(1 \times 0.5\))
- \(1.5\) (from \(0.5 \times 3\))
- \(0.25\) (from \(0.5 \times 0.5\))
From the options provided, the partial products that Zoe needs to do the calculations are:
B) 3
D) 0.5
E) 1.5
C) 0.25
So the correct answers are B, C, D, and E.
Firstly, break down the multiplication into manageable parts. We can express 1.5 as 1 + 0.5, and we can express $3.50 as $3 + $0.50.
Now, we can set up the equation:
\[
1.5 \times 3.50 = (1 + 0.5) \times (3 + 0.5)
\]
To find the partial products, we can calculate the following:
1. \(1 \times 3 = 3\)
2. \(1 \times 0.5 = 0.5\)
3. \(0.5 \times 3 = 1.5\)
4. \(0.5 \times 0.5 = 0.25\)
So the partial products of the multiplication would be:
- \(3\) (from \(1 \times 3\))
- \(0.5\) (from \(1 \times 0.5\))
- \(1.5\) (from \(0.5 \times 3\))
- \(0.25\) (from \(0.5 \times 0.5\))
From the options provided, the partial products that Zoe needs to do the calculations are:
B) 3
D) 0.5
E) 1.5
C) 0.25
So the correct answers are B, C, D, and E.