Rational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always a non-negative value.

Front

What is the opposite of a number?

Back

The opposite of a number is the number that is the same distance from zero but in the opposite direction. For example, the opposite of 5 is -5.

Front

What is the sum of an integer and its opposite?

Back

The sum of an integer and its opposite is always zero.

Front

How do you represent a withdrawal of money in integers?

Back

A withdrawal of money is represented as a negative integer. For example, a withdrawal of $100 is represented as -100.

Front

What is the vertical distance between two points at different elevations?

Back

The vertical distance is found by adding the absolute values of the two elevations. For example, 1200 feet above sea level and 20 feet below sea level have a vertical distance of 1200 + 20 = 1220 feet.

Front

If a submarine is at -1800 feet and dives another 1500 feet deeper, what is its new depth?

Back

The new depth is -1800 - 1500 = -3300 feet.

Front

What does it mean for two numbers to be opposites?

Back

Two numbers are opposites if they are the same distance from zero on the number line but in opposite directions.

Front

Is the absolute value of -7 the same as the absolute value of 7?

Back

Yes, the absolute value of -7 is 7, which is the same as the absolute value of 7.

Front

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

Back

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