Help please

I see what he measn I'll just edited my answer the first two towards the end is meaning that he wants 1/2 to the second power you could say or squared and the two at the end is just saying to show that the two next to the 1/2 is a numerical expression so mathmatically that two is just for an example in his case he forgot to add an equals sign   

But here's my work along with it  

In previous problems I have explainded before I have stated the operations of pemdas 

1.Exponets 

2. Parenthasess 

3. Mutiplication 

4. Division 

5.  Addition

6. Subtraction 

7 + (10 − 4)2 ÷ 4 × 1/2    2  so we first take care of the parenthasses. 

7 + 6(2) ÷ 4 × 1/2    2   The next sep is multiplication 

7 + 12 ÷  1                   Now when you multipply the fraction and every thing said and done you get 4/4's and I am going to treat this as 1 

Then we divide which = 19 and when we divide by 1 we still get 19  

Now if I were to kept the four It would have been 4.75

I was saying two is the numerical expression but I did not put two in words..

The 1st 2 is a numerical expression

1/2 WITH A 2 ALITTLE OBOVE IT....

Numerical Expressions

I still don't understand

Is one of these what you want?

\(7+(10-4)^2\div 4\times 1/2^2\\ or\;\;maybe\\ 7+(10-4)^2\div 4\times( \frac{1}{2})^2\\\)

Are either of those right?  If not can you try to explain what is different.

The bottom one is right

Now i'm confused how did the second division symbol get there???

Multiplying by 1/4 means dividing by 4.

Thanks for your answer Max but .........you are talking to a little kid Max  and you have jumped steps  

(Sorry Nickolas, but on here you are a little kid. Enjoy the status while you can.)

\(7+(10-4)^2\div 4\times( \frac{1}{2})^2\\\)

Firstly Nickolas you need to learn the correct notation.

If you cannot write in Latex like I have then here are a couple of alternate correct methods.

7 + (10 − 4)to the power of 2      ÷     4 × (1/2)to the power of 2

or

7 + (10 − 4) ^ 2 ÷ 4 × (1/2) ^ 2

or

7+(10-4)^2 / 4*(1/2)^2

See how ^ means 'to the power of'.

and how divide and fractions are really the same thing.  Yea I know it is a bit confusing.

----------------------------------------------

Anyway, here is your answer.

As far as order of operation goes, it is

1) Inside brackets first.

2) powers  

3)  Multiplication and division, left to right

4) Addition and Subtraction, left to right.

------------------------------------------------

\(7+(10-4)^2\div 4\times( \frac{1}{2})^2\\ \text{get rid of brackets first}\\ =7+6^2\div 4\times \frac{1^2}{2^2}\\ \text{which means}\\ =7+6^2\div 4\times( \frac{1*1}{2*2})\\ \text{now do the powers}\\ =7+36\div 4\times \frac{1}{4}\\ \text{now multiply and division are equally important so you do them from left to right}\\ =7+9\times \frac{1}{4}\\ \text{mmm tricky, fraction multiplication.}\\ \text{9=9 divided by 1 = 9 over 1, I have to write it like that.}\\ =7+\frac{9}{1}\times \frac{1}{4}\\ =7+\frac{9\times 1}{1\times 4}\\ =7+\frac{9}{4}\\ \text{Note that }\frac{9}{4}\;\;\;\text{is the same as }\;\;9\div 4 \\ =7+2\frac{1}{4}\\ =9\frac{1}{4}\\\)

If you do not full understand some of these steps then you probably need to do a lot of work on basic fractions.

I/we can help if you want us too.  

Fractions are hard to understand. There are many concepts with them. And you will not be good at maths unless you master them very soon.

You need to master order of operation too. 

I Honestly urge you not to tell himthat to his face XD

I know thwe order of operation I get confused with the facts inside I already know the order........):  

Well that is very good Nickolas :)