Question
Which are partial products of 1,262×3
?
(1 point)
Responses
6 and 500
6 and 500
15 and 180
15 and 180
600 and 900
600 and 900
180 and 3,000
?
(1 point)
Responses
6 and 500
6 and 500
15 and 180
15 and 180
600 and 900
600 and 900
180 and 3,000
Answers
GPT-4o mini
To find the partial products of \(1,262 \times 3\), we can break down the multiplication:
1. Decompose \(1,262\) into its place values:
- \(1,000\)
- \(200\)
- \(60\)
- \(2\)
2. Multiply each component by \(3\):
- \(1,000 \times 3 = 3,000\)
- \(200 \times 3 = 600\)
- \(60 \times 3 = 180\)
- \(2 \times 3 = 6\)
So, the partial products are:
- \(3,000\)
- \(600\)
- \(180\)
- \(6\)
Among the choices given, \(6\) and \(500\) do not correspond directly to our calculated partial products, here we find the following:
- The partial product \(600\) is correct but \(500\) is not.
- The partial product \(180\) is correct, but \(15\) is not.
- \(3,000\) is also a correct partial product.
The relevant combinations of valid partial products include \(180\) and \(3,000\) (as well as \(600\) and \(6\)) but according to the specific options provided, the correct response is:
**180 and 3,000**
1. Decompose \(1,262\) into its place values:
- \(1,000\)
- \(200\)
- \(60\)
- \(2\)
2. Multiply each component by \(3\):
- \(1,000 \times 3 = 3,000\)
- \(200 \times 3 = 600\)
- \(60 \times 3 = 180\)
- \(2 \times 3 = 6\)
So, the partial products are:
- \(3,000\)
- \(600\)
- \(180\)
- \(6\)
Among the choices given, \(6\) and \(500\) do not correspond directly to our calculated partial products, here we find the following:
- The partial product \(600\) is correct but \(500\) is not.
- The partial product \(180\) is correct, but \(15\) is not.
- \(3,000\) is also a correct partial product.
The relevant combinations of valid partial products include \(180\) and \(3,000\) (as well as \(600\) and \(6\)) but according to the specific options provided, the correct response is:
**180 and 3,000**