Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ What are the partial products of [tex]$36 \times 42$[/tex]? Choose all that apply.

A. 60
B. 1,200
C. 140
D. 150
E. 240
F. 1,512

We start by breaking down each number based on its place value. We write

[tex]$$
36 = 30 + 6 \quad \text{and} \quad 42 = 40 + 2.
$$[/tex]

Next, we multiply each term from the first number by each term of the second number:

1. Multiply the tens of 36 and the tens of 42:

[tex]$$
30 \times 40 = 1200.
$$[/tex]

2. Multiply the tens of 36 by the ones of 42:

[tex]$$
30 \times 2 = 60.
$$[/tex]

3. Multiply the ones of 36 by the tens of 42:

[tex]$$
6 \times 40 = 240.
$$[/tex]

4. Multiply the ones of 36 by the ones of 42:

[tex]$$
6 \times 2 = 12.
$$[/tex]

Therefore, the partial products obtained in the multiplication are

[tex]$$
1200,\quad 60,\quad 240,\quad \text{and} \quad 12.
$$[/tex]

Among the provided options:
- Option A: [tex]$60$[/tex]
- Option B: [tex]$1200$[/tex]
- Option C: [tex]$140$[/tex]
- Option D: [tex]$150$[/tex]
- Option E: [tex]$240$[/tex]
- Option F: [tex]$1512$[/tex]

We see that the partial products [tex]$60$[/tex], [tex]$1200$[/tex], and [tex]$240$[/tex] match the options. The product [tex]$12$[/tex] is not among the choices.

Thus, the correct partial products are:

[tex]$$
60,\quad 1200,\quad \text{and} \quad 240.
$$[/tex]