Solve Adding, Subtracting, and Comparing Rational 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, |-9/10| = 9/10.

Front

What is the absolute value of -7?

Back

The absolute value of -7 is 7, written as |-7| = 7.

Front

How do you calculate the final balance in a bank account after multiple transactions?

Back

To find the final balance, start with the initial amount and add deposits while subtracting withdrawals. For example, starting with $100, depositing $77, withdrawing $25, withdrawing $75, and depositing $13 results in a final balance of $90.

Front

How do you find the distance between two rational numbers?

Back

To find the distance between two rational numbers, subtract the smaller number from the larger number and take the absolute value. For example, the distance between -2¾ and 1½ is 4¼.

Front

What is the sum of two negative numbers?

Back

The sum of two negative numbers is also negative. For example, -9 + (-15) = -24.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction a/b, where a and b are integers and b is not zero.

Front

What does it mean to compare rational numbers?

Back

Comparing rational numbers involves determining which number is greater, less than, or equal to another. This can be done by converting them to a common denominator or using a number line.

Front

How do you add rational numbers with different denominators?

Back

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

Front

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

Back

Subtracting a negative number from a positive number is the same as adding its absolute value. For example, 5 - (-3) = 5 + 3 = 8.

Front

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

Back

Adding a positive number to a negative number results in a number that is less than the positive number, depending on the values. For example, -5 + 3 = -2.