To find the correct product of 22 and 49, we need to multiply these two numbers together.
Let's look at the four given choices:
1. [tex]\(22 \cdot 49 = 968\)[/tex]
2. [tex]\((22)(49) = 1078\)[/tex]
3. [tex]\(22 + 49 = 71\)[/tex]
4. [tex]\(22 \times 49 = 978\)[/tex]
Among the choices, you are asked to identify which one correctly represents the product of 22 and 49.
First, we identify that addition ([tex]\(+\)[/tex]) is not appropriate since the question asks for the product (i.e., multiplication) of the numbers. Thus, [tex]\(22 + 49 = 71\)[/tex] can be immediately dismissed.
Next, compare the remaining choices that involve multiplication:
1. [tex]\(22 \cdot 49 = 968\)[/tex]
2. [tex]\((22)(49) = 1078\)[/tex]
3. [tex]\(22 \times 49 = 978\)[/tex]
After reviewing these computations, the correct mathematical product of 22 and 49 is [tex]\(1078\)[/tex]. Therefore, the accurate representation of the product is:
[tex]\((22)(49) = 1078\)[/tex]
So the correct choice is:
[tex]\[
(22)(49)=1078
\][/tex]