7 Lesson 4 - Rational Number Operations & Word Problems

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 rational numbers with different denominators?

Back

To add two rational numbers with different denominators, find a common denominator, convert each fraction, and then add the numerators.

Front

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

Back

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

Front

How do you subtract rational numbers?

Back

To subtract rational numbers, change the subtraction to addition of the opposite and follow the same rules for adding fractions.

Front

What is the process for multiplying two rational numbers?

Back

To multiply two rational numbers, multiply the numerators together and the denominators together.

Front

What is the process for dividing two rational numbers?

Back

To divide two rational numbers, multiply by the reciprocal of the divisor.

Front

What is the significance of the negative sign in rational numbers?

Back

The negative sign indicates that the number is less than zero, representing a value that is below a defined reference point.

Front

How do you solve a word problem involving rational numbers?

Back

Identify the quantities involved, translate the words into mathematical operations, and then perform the calculations.

Front

What is the formula to calculate the total distance traveled?

Back

Total distance = distance to first location + distance to second location + distance back.

Front

If Mr. Smith has an account balance of -$275.78 and deposits $539.20, how do you find the new balance?

Back

New balance = initial balance + deposit = -$275.78 + $539.20 = $263.42.