To solve the problem of selecting the statement that correctly describes the expression [tex]\( (10 - 3) \times 4 + 5 \)[/tex], we can break down the expression step-by-step:
1. Calculate the difference of the numbers inside the parentheses:
[tex]\[
10 - 3 = 7
\][/tex]
2. Multiply the result by 4:
[tex]\[
7 \times 4 = 28
\][/tex]
3. Add 5 to the result:
[tex]\[
28 + 5 = 33
\][/tex]
Now, let's evaluate the given statements in light of this stepwise calculation:
1. 10 subtract 3 times 4 minus 5
- This implies subtracting, then multiplying by 4, and then subtracting 5. This is not correct because the expression follows the sequence of subtraction, multiplication, and addition, not another subtraction.
2. 5 more than the difference of 10 and 3
- This suggests calculating the difference [tex]\(10 - 3 = 7\)[/tex] and then adding 5, which gives [tex]\( 7 + 5 = 12 \)[/tex]. This is incorrect since it does not include the multiplication by 4.
3. Multiply 4 by the difference of 10 and 3, then add 5
- This implies first finding the difference [tex]\( 10 - 3 = 7 \)[/tex], then multiplying by 4 to get [tex]\( 7 \times 4 = 28 \)[/tex], and finally adding 5 to get [tex]\( 28 + 5 = 33 \)[/tex]. This is the correct description.
4. 4 times the difference of 5 more than 10 and 3
- This implies calculating [tex]\(5 + 10 - 3 = 12\)[/tex], then multiplying by 4, which gives [tex]\( 12 \times 4 = 48 \)[/tex]. This is also incorrect as it doesn't follow the original expression's steps.
Thus, the correct statement that describes the expression [tex]\( (10 - 3) \times 4 + 5 \)[/tex] is:
"Multiply 4 by the difference of 10 and 3, then add 5."
Therefore, the correct choice is:
3. Multiply 4 by the difference of 10 and 3, then add 5.
