Answer:
None of the expressions is simplified to 41.
Step-by-step explanation:
You have to follow the P.E.M.D.A.S., this is:
P:Parentheses first.
E:Exponent next.
M:Multiplication.
D:Division.
(Multiplication and Division is whichever come first, from left to right)
A: Addition.
S: Subtraction.
(Addition and Subtraction is whichever come first, from left to right).
<u><em>We are going to analyze every option:</em></u>
1. 10+ 2.4 - 1
First we have to solve the multiplication:
![10+ 2.4 - 1=10+8-1](https://tex.z-dn.net/?f=10%2B%202.4%20-%201%3D10%2B8-1)
Now we have to solve the addition and subtraction from left to right:
![10+8-1=18-1=17\neq 41](https://tex.z-dn.net/?f=10%2B8-1%3D18-1%3D17%5Cneq%2041)
This is not a correct answer.
2. 10+2.(4-1)
We have to solve the parentheses first:
![10+2.(4-1)=10+2.(3)](https://tex.z-dn.net/?f=10%2B2.%284-1%29%3D10%2B2.%283%29)
Now the multiplication and then the addition.
![10+2.(3)=10+6=16\neq 41](https://tex.z-dn.net/?f=10%2B2.%283%29%3D10%2B6%3D16%5Cneq%2041)
This is not a correct answer.
3. (10+23).4-1
We have to solve the parentheses first:
![(10+23).4-1=(33).4-1](https://tex.z-dn.net/?f=%2810%2B23%29.4-1%3D%2833%29.4-1)
Now the multiplication and then the subtraction:
![(33).4-1=132-1=131\neq 41](https://tex.z-dn.net/?f=%2833%29.4-1%3D132-1%3D131%5Cneq%2041)
This is not a correct option.
4. ![10+(2^2.4)-1](https://tex.z-dn.net/?f=10%2B%282%5E2.4%29-1)
We have to solve the parentheses first, in the parenthesis first we have to solve:
and then do the multiplication.
![10+(2^2.4)-1=10+(4.4)-1=10+16-1](https://tex.z-dn.net/?f=10%2B%282%5E2.4%29-1%3D10%2B%284.4%29-1%3D10%2B16-1)
Now we have to solve the addition and subtraction from left to right:
![10+16-1=26-1=25\neq 41](https://tex.z-dn.net/?f=10%2B16-1%3D26-1%3D25%5Cneq%2041)
This expression is not a correct option.
Then none of the expressions is simplified to 41.