To solve the expression [tex]\((10 - 3) \times 4 + 5\)[/tex], let's break it down step by step.
1. Evaluate the expression inside the parentheses:
[tex]\[
10 - 3 = 7
\][/tex]
Now, our expression becomes:
[tex]\[
7 \times 4 + 5
\][/tex]
2. Multiply the result by 4:
[tex]\[
7 \times 4 = 28
\][/tex]
So now, our expression becomes:
[tex]\[
28 + 5
\][/tex]
3. Add 5 to the result:
[tex]\[
28 + 5 = 33
\][/tex]
Having calculated the expression step by step, the final result is 33.
Now, let's match the correct statement with the given options:
1. 10 subtract 3 times 4 minus 5:
This statement is incorrect because it suggests subtracting 3 times 4 from 10 and then subtracting 5, which does not align with the expression's operations.
2. 5 more than the difference of 10 and 3:
This indicates [tex]\((10 - 3) + 5\)[/tex], which equals [tex]\(7 + 5\)[/tex], or 12. This is not what the original expression described.
3. Multiply 4 by the difference of 10 and 3 then add 5:
This matches the step-by-step breakdown we performed: first subtract 3 from 10, then multiply the result by 4, and finally add 5.
4. 4 times the difference of 5 more than 10 and 3:
This suggests calculating [tex]\(10 + 5\)[/tex] first, then subtracting 3, and finally multiplying the result by 4. This is not the correct order of operations for the given expression.
Therefore, the correct statement is:
[tex]\[
\text{Multiply 4 by the difference of 10 and 3 then add 5}
\][/tex]
And the correct option number is 3.
