Random operation

Algebra Level 2

$\large \color{#D61F06}{\boxed{\phantom{5}}} \ \color{#20A900}{\boxed{\phantom{÷}}} \ \color{#3D99F6}{\boxed{\phantom{5}}} \ = \ ?$

I want to fill three colorful boxes.

In the red box, I write a random number from $\color{#D61F06}{\{1, 2, 3, 4, 5\}}$
In the green box, I write a random operator from $\color{#20A900}{\{+, -, ×, ÷\}}$
In the blue box, I write a random number from $\color{#3D99F6}{\{1, 2, 3, 4, 5\}}$

When the expression is evaluated, the resulting number is most likely to be a ________.

Rational number Prime number Negative number Positive number

1 solution

Pranshu Gaba
May 3, 2016

The resulting number may or may not be a prime number; it may be positive or it may be negative. However, irrespective of how we fill in the boxes, the result of the expression will always be a rational number.

Thus, it is most likely to be a rational number. $_\square$

Does positive number count as rational?

Mahdi Raza - 1 year ago

Positive numbers may or may not be rational.

For example, $\frac{3}{5}$ is rational, but $\sqrt{2}$ is not.

Pranshu Gaba - 1 year ago

Isn't $\sqrt{4} = 2$ , thus making it a rational number? Thanks!

Mahdi Raza - 1 year ago

@Mahdi Raza – I meant $\sqrt{2}$ . I have fixed it.

Pranshu Gaba - 1 year ago

@Pranshu Gaba – Ok, @Pranshu Gaba . Thanks!

Mahdi Raza - 1 year ago

Random operation

1 solution

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