Adding and Subtracting Rational Numbers Flashcard

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

How do you add two negative rational numbers?

Back

To add two negative rational numbers, you add their absolute values and keep the negative sign. For example, -6.5 + (-0.5) = -7.

Front

What is the result of -6.23 - 7.5?

Back

The result is -13.73.

Front

What does it mean when we say 'negative - positive = negative'?

Back

This statement is always true because subtracting a positive number from a negative number results in a more negative number.

Front

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

Back

The distance between two numbers is found by taking the absolute value of their difference. For example, the distance between -1 and 10 is |10 - (-1)| = 11.

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, |-4| = 4.

Front

How do you subtract a negative number from a positive number?

Back

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

Front

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

Back

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

Front

How do you order integers from least to greatest?

Back

To order integers from least to greatest, compare their values. For example, -5, -2, 3, and |-4| ordered from least to greatest is -5, -2, 3, 4.

Front

What is the sum of -3 and -4?

Back

The sum is -7.