7th Grade Topic 1 Rational Numbers Operations

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 rational number and a negative rational number?

Back

The result can be positive, negative, or zero, depending on the values of the numbers being added.

Front

What is the process for subtracting rational numbers?

Back

To subtract rational numbers, convert them to a common denominator, then subtract the numerators.

Front

How do you multiply two rational numbers?

Back

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

Front

What is the result of dividing a rational number by another rational number?

Back

To divide a rational number by another, multiply by the reciprocal of the divisor.

Front

What does it mean for two numbers to be opposites?

Back

Two numbers are opposites if they are the same distance from zero on the number line but in opposite directions.

Front

If a number is decreased by a certain amount, how can it be represented mathematically?

Back

If a number 'x' is decreased by 'y', it can be represented as x - y.

Front

What is the significance of zero in rational numbers?

Back

Zero is the additive identity in rational numbers; adding zero to any rational number does not change its value.

Front

How do you find the average of a set of rational numbers?

Back

To find the average, sum all the numbers and divide by the total count of numbers.