Positive and negative numbers and zero - Examples, Exercises and Solutions

As per the fact that there cannot be a situation where a negative number is greater than a positive number, the answer is incorrect.

If we draw a number line, we can see that the number minus 6 is located to the left of the number 2:

Therefore, the answer is not correct.

If we draw a number line, we can see that to the right of zero are positive numbers, and to the left of zero are negative numbers:

Therefore, the answer is correct.

Indeed, both forms are identical since a number without a sign will be positive, as in the case of 3.98

If there is a plus sign before the number, the number is necessarily positive, as in the case of +3.98

Therefore, the answer is correct.

In mathematics, numbers are categorized as either positive or negative, and this is denoted using a sign. For example, positive numbers might include a "+" sign on the left (though it's often omitted), such as $+3$ or simply $3$, whereas negative numbers require a "-" sign, such as $-3$.

The placement of the sign is crucial for properly understanding the value and meaning of the number. The sign is always placed to the left of the number when it comes to expressing signed numbers on the number line, or anywhere formally outside of a context where postfix notation is specifically used (e.g., for programming or algorithmic purposes).

Therefore, the provided statement "The sign is always written to the left of the number" is indeed True.