Answer :
Let's break down the expression [tex]\(3mn + 5\)[/tex] into words.
The expression [tex]\(3mn + 5\)[/tex] can be interpreted as follows:
1. Product of m and n: First, consider the product of two variables, [tex]\(m\)[/tex] and [tex]\(n\)[/tex]. This gives us [tex]\(mn\)[/tex].
2. Multiplying by 3: Next, take this product [tex]\(mn\)[/tex] and multiply it by 3. This step gives us [tex]\(3mn\)[/tex].
3. Adding 5: Finally, to the result of [tex]\(3mn\)[/tex], add the number 5. This results in the entire expression [tex]\(3mn + 5\)[/tex].
Now, let's look at your options and see which one matches our interpretation:
a. "5 more than 13 of product of m and n"
- This option suggests adding 5 to 13 times the product of [tex]\(m\)[/tex] and [tex]\(n\)[/tex]. It does not match our expression, since we have 3 times the product, not 13.
b. "number 5 added to product of number"
- This option is incomplete. It does not specify which product we are dealing with.
c. "number 5 added to 3 times the produc"
- This option is also incomplete. While it does come close, it lacks clarity and completeness.
None of the options provided seem to be fully correct. The correct statement should be:
"The statement for the expression [tex]\(3mn + 5\)[/tex] is: number 5 added to 3 times the product of number [tex]\(m\)[/tex] and number [tex]\(n\)[/tex]."
The expression [tex]\(3mn + 5\)[/tex] can be interpreted as follows:
1. Product of m and n: First, consider the product of two variables, [tex]\(m\)[/tex] and [tex]\(n\)[/tex]. This gives us [tex]\(mn\)[/tex].
2. Multiplying by 3: Next, take this product [tex]\(mn\)[/tex] and multiply it by 3. This step gives us [tex]\(3mn\)[/tex].
3. Adding 5: Finally, to the result of [tex]\(3mn\)[/tex], add the number 5. This results in the entire expression [tex]\(3mn + 5\)[/tex].
Now, let's look at your options and see which one matches our interpretation:
a. "5 more than 13 of product of m and n"
- This option suggests adding 5 to 13 times the product of [tex]\(m\)[/tex] and [tex]\(n\)[/tex]. It does not match our expression, since we have 3 times the product, not 13.
b. "number 5 added to product of number"
- This option is incomplete. It does not specify which product we are dealing with.
c. "number 5 added to 3 times the produc"
- This option is also incomplete. While it does come close, it lacks clarity and completeness.
None of the options provided seem to be fully correct. The correct statement should be:
"The statement for the expression [tex]\(3mn + 5\)[/tex] is: number 5 added to 3 times the product of number [tex]\(m\)[/tex] and number [tex]\(n\)[/tex]."