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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

Mar 13, 2019

#1
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Your question does not make sense Nickolas.

Perhaps you can fix it?

Mar 13, 2019
#2
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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

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

#3
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Nicholas, you need to learn to express yourself properly.

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.

Mar 13, 2019
#4
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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
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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.

Melody  Mar 13, 2019
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The bottom one is right

Nickolas  Mar 13, 2019
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Melody, thank you for clarifying the question.

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

.
Mar 13, 2019
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Now i'm confused how did the second division symbol get there???

#9
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Multiplying by 1/4 means dividing by 4.

MaxWong  Mar 13, 2019
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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.

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

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
edited by Melody  Mar 13, 2019
edited by Melody  Mar 13, 2019
#11
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I Honestly urge you not to tell himthat to his face XD

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

Nickolas  Mar 14, 2019
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Well that is very good Nickolas :)

Melody  Mar 14, 2019