Calculate distances and rational number operations

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. For example, |-5| = 5.

Front

How do you calculate the distance between two numbers on a number line?

Back

To calculate the distance between two numbers, subtract the smaller number from the larger number and take the absolute value of the result.

Front

What is the sum of a number and its opposite?

Back

The sum of a number and its opposite is always zero.

Front

What is the result of adding two negative numbers?

Back

The result of adding two negative numbers is a negative number.

Front

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

Back

The result depends on the absolute values of the numbers; if the positive number is larger, the result is positive, and if the negative number is larger, the result is negative.

Front

What is the temperature change if it goes from 3°C to -4.5°C?

Back

The temperature change is -7.5°C, which means it decreased by 7.5 degrees.

Front

What is the distance between -5 and 5 on a number line?

Back

The distance is 10 units.

Front

What is the result of -28 + (-8)?

Back

The result is -36.

Front

What does the arrow diagram represent in terms of addition?

Back

The arrow diagram can represent the sum of two numbers, such as -3 + 8.