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crimeas [40]
3 years ago
5

Is 1/6 a rational number or a integer number

Mathematics
1 answer:
ss7ja [257]3 years ago
7 0

Answer:

  • <em><u>1/6 is a rational number</u></em>

Explanation:

The <em>integer numbers</em> are not fractions. Integer numbers are the whole numbers (1, 2, 3, 4, 5, ...) which are positive, and their negatives (-1, -2, -3, -4, -5, ...). Zero is also included in the set of the integer numbers, so they are:

  • . . . , - 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4, 5, . . .

The fractions are rational numbers. Per definition a rational number is the ratio of two integer numbers.

The rational numbers include the integer numbers but is a bigger set, i.e. every integer number is a rational number but not every rational numbers are integer. So, 1/6 is an example of an rational number that is not an integer number.

Any fraction that can be simplified to an integer number is an integer (and also a rational number); any fraction that cannot be simplified to an integer is a rational number but not an integer.

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Which group of ordered pairs are on the line given by the equation 5−2=6
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8 0
3 years ago
Differentiate cosec5x
Marizza181 [45]

\dfrac{d}{dx} \csc(5x)\\\\=-\csc(5x) \cdot \cot (5x) \cdot \dfrac{d}{dx} (5x)\\\\=-5\csc(5x) \cdot \cot(5x)

7 0
3 years ago
Se vende2 usb en 60 soles cada uno. En una se ganó el 20% y en la otra se perdió el 20% ¿Se ganó o se perdió en total y cuánto?
aniked [119]
Voy a responder en el mismo idioma en que está la pregunta.

1) Venta con ganancia

Precio de venta 60 soles.

Ganancia = 20% del costo => costo + 0,20 * costo =  precio

=> costo (1 + 0,20) = precio = 60 soles

=> costo (1,20) = 60 soles => costo = 60 soles / 1,20 = 50 soles

2) Venta con pérdida del 20%

Pérdida = 20% del costo

=> costo - precio = 20% * costo => costo - 0,20*costo = precio

=> costo ( 1 - 0,20) = 60 soles => costo * 0,80 = 60 soles

=> costo = 60 soles / 0,80 = 75 soles

3) Costo total = 50 soles + 75 soles = 125 soles

4) Ganancia total = valor total de venta - costo total

Ganancia total = 2 * 60 soles + 125 soles = 120 soles - 125 soles = - 5 soles.

El signo negativo significa que al final se perdió 5 soles en la operación.
8 0
4 years ago
Given that P = (-5, 5) and Q = (-13, 10), find the component form and magnitude of 2 vector PQ.
Brut [27]
Define unit vectors along the x-axis and the y-axis as \hat{i} , \, \hat{j} respectively.

Then the vector from P to Q is
\vec{PQ} = (-13+5)\hat{i} + (10-5)\hat{j} = -8\hat{i} + 5\hat{j}
In component form, the vector PQ is (-8,5).

The magnitude of vector PQ is
√[(-8)² + 5²] = √(89) = 9.434

Answer:
The vector PQ is (-8, 5) and its magnitude is √89  (or 9.434).
4 0
4 years ago
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