Adding 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

How do you add two negative rational numbers?

Back

To add two negative rational numbers, add their absolute values and keep the negative sign. For example, -2.61 + (-6.88) = -9.49.

Front

What is the sum of a negative number and a positive number?

Back

The sum depends on the absolute values of the numbers. If the positive number is larger, the result is positive; if the negative number is larger, the result is negative. For example, -40 + 15.05 = -24.95.

Front

How do you add a positive number and a negative number?

Back

Subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value. For example, 34.5 + (-7) = 27.5.

Front

What is the result of adding two positive numbers?

Back

The result is always positive. For example, 9 + 6.73 = 15.73.

Front

What is the sum of two rational numbers with different signs?

Back

The sum is found by subtracting the smaller absolute value from the larger absolute value and taking the sign of the number with the larger absolute value. For example, -4.2 + 3.3 = -0.9.

Front

What is the associative property of addition?

Back

The associative property states that the way in which numbers are grouped when adding does not change the sum. For example, (a + b) + c = a + (b + c).

Front

What is the commutative property of addition?

Back

The commutative property states that the order in which two numbers are added does not change the sum. For example, a + b = b + a.

Front

How do you represent the addition of rational numbers on a number line?

Back

To add rational numbers on a number line, start at the first number and move to the right for positive numbers or to the left for negative numbers.

Front

What is the identity property of addition?

Back

The identity property states that adding zero to any number does not change the value of that number. For example, a + 0 = a.