Operations with 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

What does it mean for a bank account to be overdrawn?

Back

An overdrawn bank account means that the account balance is negative, indicating that the account holder has withdrawn more money than is available.

Front

How do you calculate the new balance after a deposit in a negative account?

Back

To calculate the new balance, add the deposit amount to the negative balance. For example, if the balance is -$32 and a deposit of $100 is made, the new balance is -$32 + $100 = $68.

Front

What is the effect of multiple deductions on a paycheck?

Back

The total effect of multiple deductions can be calculated by multiplying the amount deducted by the number of paychecks. For example, if $345.67 is deducted from each paycheck and there are 7 paychecks, the total deduction is $345.67 x 7 = $2,419.69.

Front

How do you add two negative numbers?

Back

To add two negative numbers, combine their absolute values and keep the negative sign. For example, -5 + (-3) = -8.

Front

What is the result of subtracting 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

How do you interpret a negative temperature?

Back

A negative temperature indicates a temperature below zero degrees on the Celsius or Fahrenheit scale. For example, -10°C is 10 degrees below the freezing point of water.

Front

What is the process for dividing fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, to divide 1/2 by 3/4, calculate 1/2 x 4/3 = 4/6 = 2/3.

Front

What is the significance of zero in rational numbers?

Back

Zero is a rational number because it can be expressed as 0/1. It serves as the neutral element in addition and indicates the absence of quantity.

Front

How do you represent a negative balance in a bank account?

Back

A negative balance is represented with a minus sign before the amount, such as -$50, indicating that the account is overdrawn.