Define a Field - Pre-Calculus

Card 0 of 4

Which of the following is not true about a field. (Note: the real numbers $\small \mathbb{R}$ is a field)

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It is not the case that for any element $\small a$ in a field, there is another one $\small b$ such that their product is $\small 1$ . Take $\small 0$ in the real numbers. Multiply $\small 0$ by any number and you get $\small 0$ , so you will never get $\small 1$ . This is true for any field that has more than 1 element.

Which of the following is not true about a field. (Note: the real numbers $\small \mathbb{R}$ is a field)

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It is not the case that for any element $\small a$ in a field, there is another one $\small b$ such that their product is $\small 1$ . Take $\small 0$ in the real numbers. Multiply $\small 0$ by any number and you get $\small 0$ , so you will never get $\small 1$ . This is true for any field that has more than 1 element.

Which of the following is not true about a field. (Note: the real numbers $\small \mathbb{R}$ is a field)

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It is not the case that for any element $\small a$ in a field, there is another one $\small b$ such that their product is $\small 1$ . Take $\small 0$ in the real numbers. Multiply $\small 0$ by any number and you get $\small 0$ , so you will never get $\small 1$ . This is true for any field that has more than 1 element.

Which of the following is not true about a field. (Note: the real numbers $\small \mathbb{R}$ is a field)

Tap to see back →

It is not the case that for any element $\small a$ in a field, there is another one $\small b$ such that their product is $\small 1$ . Take $\small 0$ in the real numbers. Multiply $\small 0$ by any number and you get $\small 0$ , so you will never get $\small 1$ . This is true for any field that has more than 1 element.