Understanding Rational Numbers through Division with Integers

This video tutorial explains that any division problem involving integers results in a rational number. It covers the properties of rational numbers, common mistakes in division, and the differences between multiplication and division outcomes. The tutorial emphasizes that while multiplication of integers always results in an integer, division may yield a rational number, which can be a fraction or a decimal. The video also highlights the importance of not leaving remainders in division problems and converting them into fractions or decimals.

What is the result of dividing two integers?

• Always an integer

• Always a rational number

• Always a whole number

• Always a repeating decimal

Which of the following is a common mistake when dividing integers?

• Leaving the answer with a remainder

• Converting the remainder into a fraction

• Multiplying instead of dividing

• Using a number line

How can a remainder be expressed in division?

• As a fraction or decimal

• As a whole number

• As a negative number

• As a repeating decimal

What is guaranteed when multiplying two integers?

• The result is a rational number

• The result is a fraction

• The result is a decimal

• The result is an integer

Which of the following is true about division of integers?

• It always results in an integer

• It cannot result in a negative number

• It can result in a rational number

• It always results in a whole number