Understanding Integers

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero. Examples include -3, 0, and 5.

Front

How do you represent a number below sea level using integers?

Back

Numbers below sea level are represented as negative integers. For example, diving 40 feet below sea level is represented as -40.

Front

What does the symbol '>' mean in mathematics?

Back

The symbol '>' means 'greater than'. For example, 5 > 3 means 5 is greater than 3.

Front

What does the symbol '<' mean in mathematics?

Back

The symbol '<' means 'less than'. For example, -5 < 2 means -5 is less than 2.

Front

Which is farther from zero on a number line: -7 or 5?

Back

-7 is farther from zero than 5 because it is 7 units away from zero, while 5 is only 5 units away.

Front

What is the absolute value of an integer?

Back

The absolute value of an integer is its distance from zero on the number line, regardless of direction. For example, the absolute value of -3 is 3.

Front

How do you compare two integers?

Back

To compare two integers, determine which is greater or lesser by looking at their positions on the number line.

Front

What is the result of adding a positive integer and a negative integer?

Back

The result depends on the absolute values of the integers. If the positive integer is larger, the result is positive; if the negative integer is larger, the result is negative.

Front

What is the result of subtracting a negative integer from a positive integer?

Back

Subtracting a negative integer is the same as adding its absolute value. For example, 5 - (-3) = 5 + 3 = 8.

Front

What is the result of multiplying two negative integers?

Back

The result of multiplying two negative integers is a positive integer. For example, -2 * -3 = 6.