Dividing Numbers and Monomials

This video tutorial introduces the division of algebraic expressions, focusing on dividing monomials. It begins with basic concepts, explaining how to divide numbers and simplify fractions. The tutorial then covers dividing algebraic letters using exponent rules, followed by step-by-step examples. Advanced exercises are provided, along with tips and tricks to avoid common mistakes. The video concludes with practice problems and encourages viewers to engage with the full course available online.

What is the first step in setting up a division problem with monomials?

• Write the denominator above the numerator

• Write the numerator above the denominator

• Multiply the monomials

• Add the exponents

How do you simplify the fraction 6/4?

• Multiply both by 3

• Multiply both by 2

• Divide both by 2

• Divide both by 3

When dividing variables with the same base, what operation is performed on the exponents?

• Add the exponents

• Divide the exponents

• Multiply the exponents

• Subtract the exponents

What is the result of dividing x^5 by x^2?

• x^2

• x^10

• x^7

• x^3

What happens to the sign when dividing two negative numbers?

• The result is negative

• The result is undefined

• The result is zero

• The result is positive

In a division problem, if the same variable with the same exponent appears in both the numerator and denominator, what can you do?

• Add the exponents

• Multiply the exponents

• Eliminate the variable

• Divide the exponents

What is the result of dividing 28 by 4?

• 5

• 6

• 8

• 7

If you have 5x divided by 5x, what is the result?

• 1

• 0

• 5

• x

What is the result of dividing 48 by 12?

• 2

• 3

• 4

• 5

When dividing m^3 by m, what is the resulting exponent of m?

• 2

• 1

• 3

• 4