@@Kyrelel The question is about the order of operations; however, mathematics has no rigid rules about the order of operations at this level, so there is no answer to the question. In computer languages, the order of operation is strictly enforced by the compiler; however, in mathematics, the only enforcer is tradition. And tradition has not so far clarified clearly what order of operations should be followed; it is better to use parentheses to clear up ambiguities. The 99% comment is sheer nonsense, since there is no well-defined right answer.
45 / 9(3+5) = 45 / 9(8) = 45/72 There is a simple proof that simply rewriting a(b) as a x b is WRONG: If x = y then x/x = 1, x/y = 1, y/x = 1 and y/y = 1 If x = 2(5) and y=5(2) then: 2(5) / 2(5) = 1 2(5) / 5(2) = 1 5(2) / 2(5) = 1 5(2) / 5(2) = 1 If you use the INCORRECT method (which most videos seem to tell you to do), this happens: 2(5) / 2(5) = 25 2(5) / 5(2) = 4 5(2) / 2(5) = 25 5(2) / 5(2) = 4
Must also remember that division and multiplication have equal precedence both over addition and subtraction. Left to right is how to deal with what's left. It used to confuse me. I'd also not have kept brackets around the 8, just use a dot or times symbol.
@@Kyrelel Brackets first gives 45/9*8 Multiplication and division are equal precedence so we go left to right, 45 divided by 9 = 5 multiplied by 8 equals 40. This is the correct answer not 45/72. You are retaining brackets after the expression has been resolved, hence your confusion.
Nope 40. Implied multiplication taking only when you have a value and a variable like 2X. Then the 2 times X would take precedence over nearby operators. However that isn’t true for 2(3+5). In this example would be completed prior to the multiplication. The expression becomes 45÷9*8=5*8=40
45 : 9(3 + 5) = ? No estoy de acuerdo con la solución de este ejercicio. El 45, está dividido por el producto de 9(3 + 5) = 9x8 = 72. Este 72, ES EL DIVISOR de 45. El número 72, se puede expresar de muchas maneras, disociándose entre sus factores, SIEMPRE "amarrados" por el signo x. Estos factores, NO SE PUEDEN SEPARAR . lo correcto es: 45 : 72 DEMOSTRACIÓN: ¿Verdad que 9x8 = 8x9? Entonces, 45 : 9x8, DEBE SER IGUAL QUE 45 : 8x9. COMPRUÉBENLO...
Yes they can be separated 9(3+5) is exactly the same as 9*(3+5). The problem with your analysis is that most calculators and computers will return an answer of 40. You have to live in the real world.
@@petersearls4443 Las calculadoras responden a como se le introduzcan los datos. Dile a la calculadora que sume 3 + 5 y el resultado, lo multiplique por 9, y así obtenemos 72. Guarda ese dato en la memoria, y entonces pones 45, dividido por lo que guardaste.
