Adding & Subtracting 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 find the distance between two numbers on a number line?

Back

To find the distance between two numbers on a number line, subtract the smaller number from the larger number and take the absolute value of the result.

Front

What is the result of adding two negative rational numbers?

Back

When adding two negative rational numbers, the result is a more negative number.

Front

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

Back

The result depends on the absolute values of the numbers; if the positive number's absolute value is greater, the result is positive, and if the negative number's absolute value is greater, the result is negative.

Front

What is the rule for adding decimals with the same sign?

Back

When adding decimals with the same sign, you add their absolute values and keep the common sign.

Front

What is the rule for subtracting rational numbers?

Back

To subtract a rational number, add its opposite. For example, a - b is the same as a + (-b).

Front

How do you add two decimals?

Back

To add two decimals, align the decimal points and add each column, carrying over if necessary.

Front

What is the result of -23.4 - 3.4?

Back

The result is -26.8.

Front

How do you calculate a bank account balance after a deposit?

Back

To calculate the new balance after a deposit, add the deposit amount to the current balance.

Front

If Braeden has a balance of -$12.32 and deposits $30, what is his new balance?

Back

His new balance is $17.68.