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Negative numbers are numbers that are less than zero. They are typically written with a minus sign in front of them. When counting backwards from zero, the first number is -1, then -2, and so on. Each step to the left on a number line increases the negative value.

Negative numbers are used in various real-world situations, such as temperatures below freezing and debts in financial accounts. With negative numbers, the larger the numeral after the minus sign, the smaller its value. For instance, -3 is greater than -5 because it is less far from zero. This is an important concept to grasp as it can initially feel counterintuitive.

The number line is a visual representation that helps us understand the order and magnitude of numbers. It is a straight line where each number belongs to a specific point linked with its real value (positive or negative).

• The number line extends infinitely in both directions.
• Positive numbers are placed to the right of zero, while negative numbers are to the left.
• The further right a number is, the larger its value; conversely, numbers further left are smaller.

When comparing numbers, the number to the right of the other is always greater. This simple rule aids in understanding statements such as -3 > -5, where -3 is positioned to the right of -5 on the number line.

Comparing numbers involves determining which of two numbers is greater or smaller. This process is crucial in mathematics and everyday decision-making. With positive numbers, it is straightforward: 5 is greater than 3 because 5 is further from zero in the positive direction.

However, with negative numbers, the concepts require careful understanding.

• Numbers that are closer to zero are larger than those further away.
• For instance, -2 is greater than -7 because -2 is closer to zero.
• The symbol '>' means "greater than," while '<' means "less than".

This knowledge is vital and applying it allows us to solve problems like determining if -3 is greater than -5, ultimately filling the blank with the correct symbol.