Adding and Subtracting Real Numbers

Front

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

Back

Subtracting a negative number is equivalent to adding its absolute value. For example, 9 - (-32) = 9 + 32 = 41.

Front

How do you simplify the expression 4 - (-8)?

Back

To simplify 4 - (-8), you convert the subtraction of a negative into addition: 4 + 8 = 12.

Front

What is the sum of zero and a negative number?

Back

The sum of zero and a negative number is the negative number itself. For example, 0 + (-5) = -5.

Front

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

Back

When adding a negative number to a positive number, you subtract the absolute value of the negative number from the positive number. For example, -5 + 13 = 13 - 5 = 8.

Front

What is the result of adding two positive numbers?

Back

The result of adding two positive numbers is always a positive number. For example, 4 + 9 = 13.

Front

What is the definition of a real number?

Back

A real number is any value that represents a quantity along a continuous line, including all rational and irrational numbers.

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 handle the subtraction of two negative numbers?

Back

When subtracting two negative numbers, you can convert it to addition by taking the absolute values. For example, -5 - (-3) = -5 + 3 = -2.

Front

What is the result of adding two negative numbers?

Back

The result of adding two negative numbers is always a negative number. For example, -3 + (-4) = -7.

Front

What is the commutative property of addition?

Back

The commutative property of addition states that changing the order of the addends does not change the sum. For example, a + b = b + a.