What is the value of the expression shown below?

7 + (10 − 4)2 ÷ 4 × 1/2 2 2 is a Numerical Expressions

I am trying to make after 4 times 1/2 with a 3 sort of above but in Numerical Expressions form.

This is Numerical Expressions

Nickolas Mar 13, 2019

#1

#2**+6 **

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

HiylinLink
Mar 13, 2019

#3**+3 **

Nicholas, you need to learn to express yourself properly.

This is your first line

7 + (10 − 4)2 ÷ 4 × 1/2 2 2 is a Numerical Expressions

The black numbers are fine and so is the writing at the end BUT what are the two red 2s supposed to mean?

I honestly do not understand.

**Please let Nickolas answer this question.**

Melody Mar 13, 2019

#4**+2 **

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

Nickolas
Mar 13, 2019

#7**+1 **

Melody, thank you for clarifying the question.

\(7 + (10-4)^2\div 4 \times \left(\dfrac{1}{2}\right)^2\\ =7+36\div 4 \div 4\\ =7+\dfrac{9}{4}\\ =\dfrac{37}{4}\)

.MaxWong Mar 13, 2019

#10**0 **

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.

Melody
Mar 13, 2019