100÷4(2+3)= ? Part 2

I go into a little more detail than the last video to explain this problem.

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8÷2(2+2)

Math Puzzle Crash Course Order of Operations Without Parentheses or Brackets:

[AndrewMcMillan-gx]

100 × ¼ × 5 = 125

Multiplication and Division are inverse operations.

[parnun]

I see it as

100

4(2+3)

So if you reduce 100 and 4 you end up with

25

(2+3)

parenthesis next so it will be

25

5

So I get 5. No matter how I do it, I always get 5.

[jonathandelaet]

100 / 4 ( 2 + 3 )
100 / 4x2 + 4x3
100 / 4 x 2 + 4 x 3
25 x 2 + 4 x 3
50 + 12
62

Error is on second line duh'
100 / ( 4x2 + 4x3 )
100 / ( 8 + 12 )
100 / ( 20 )
5

So that's an extra way to get to solution "5" 🙂

[mattobrien]

Pie r squared isn’t in parenthesis so the order isn’t an accurate comparison. Using Pemdas the correct order would be to start with exponents and then implicit multiplication

[AndrewMcMillan-gx]

A variable can be a constant or a term.

You are multiplying two terms (you can think of them as terms). Although, terms are actually separated by Addition and Subtraction.

[AndrewMcMillan-gx]

I have a Ti-84 Plus that is approved by the American SAT, ACT, and AP that will make this calculation.

[AndrewMcMillan-gx]

Fractions can be written written Vertically or Horizontally.

5÷9 is the same thing as 5/9. Whether 5/9 is written vertical or horizontal.

[AndrewMcMillan-gx]

Variables can be Fractions. Distributive Property is Multiplication.

a(b+c) = ab + ac

Multiplication is repeated addition.

[AndrewMcMillan-gx]

I was taught PEMDAS. I went to Jr. High in the 90s, and I was born in the 80s. If PEMDAS which is a Mnemonic (Memory Aid) for the order of operations were wrong that would mean every teacher who taught PEMDAS Pre-Internt (Google) would be wrong for teaching it.

[AndrewMcMillan-gx]

Einstein's Equations at low Velocity are Newton's. For an equation to be true the, values on both sides of the "=" sign must be the same. Are you saying that Einstein and Newton are wrong?

[garlandamin]

An absolute needs no parenthesis meaning nothing left tpo solve in parenthesis.

[AndrewMcMillan-gx]

Einstein's equations at low Velocity are Newton's.

[AndrewMcMillan-gx]

There is no Ambiguity.

100/4(2+3)≠100÷(4(2+3))

100/4(2+3) = 125

100÷(4(2+3)) = 5

We know from F = MA (F=Force)

Variables can be fractions

Acceleration is Velocity over time.

Velocity: M/S

Acceleration: M/S²

What does bi mean in Binary? Two.

It's a binary operation

Commutative Property

Field: Algebra

A binary operation is commutative if changing the order of the operands does not change the result.

The Commutative Property only works in Multiplication and Addition.

a x b = b x a

Let a = 100/4, Let b = (2+3)

a x b, substitute the values for a and b.

Do a and b before you multiply.

100/4(2+3)

25(2+3)

25 ×5 = 125

Distributive Property (Multiplication)

100/4(2+3)

100/4×2+100/4×3

25×2+25×3

50+75=125

Order of Operations

1. Parentheses (inner to outer)

2. Exponents

3.M/D - whichever comes first from left to right (just like you're reading a book).

Note: Do all Multiplication and Division before you Add and Subtract.

A/S - whichever comes first from left to right (just like you're reading a book).

100/4(2+3)

100/4×5

25×5 = 125.

We also know from the Associative Property of Multiplication and Addition

(a+b) + c, or a + (b+c)

(a x b) x c, or a x (b x c)

Multiplication is repeated addition.

Fahrenheit to Celsius

C = 5/9(F-32)

For an equation to be true, the values on both sides of the "=" must be the same in both sign and number. If they're not, it's not an equation.

1=1, -1≠1, X=X, -X≠X

I guess by some people's logic

-7² = -49 and 49

Can equal both?Help me understand your logic.

How about Ohm's Law?

It has to do with electricity.

V=IR

V= Volts, I = Amps R = Resistance

Let I = 100/4, Let R = (2+3)

100/4(2+3)

25(2+3)

25 x 5

V= 125

Are you saying there are two different rules for Expressions and Equations? No. You can think of Expressions as practice for real Equations.

[harrymatabal]

Too much irrelevant talking. Just get to the point. The answer is 125