Understanding Multiplicative Inverses and Division

This video tutorial covers the division of rational numbers, focusing on finding multiplicative inverses and applying these concepts to solve problems. It begins with an introduction to dividing fractions and finding inverses, followed by examples of calculating inverses for various numbers. The tutorial then demonstrates dividing rational numbers, emphasizing simplification. Finally, it applies these concepts to a real-world problem involving the Bagger 288 trench digger, calculating the time required to dig a specific distance.

What is the multiplicative inverse of a number 'a'?

• a itself

• 1/a

• a squared

• a plus one

What is the multiplicative inverse of 100?

• 1/100

• 1/10

• 10

• 100

How do you find the multiplicative inverse of a fraction?

• Subtract the denominator from the numerator

• Multiply the fraction by 2

• Swap the numerator and denominator

• Add the numerator and denominator

What is the result of dividing 5/2 by 1/4?

• 20

• 5/8

• 10

• 1/8

What is the simplified form of 5/11 divided by 6/7?

• 5/66

• 30/77

• 35/66

• 11/42

What is the result of dividing negative x/2 by 5/7?

• 5x/14

• -7x/10

• 7x/10

• -5x/14

What happens when you divide a negative fraction by another negative fraction?

• The result is undefined

• The result is negative

• The result is positive

• The result is zero

How do you express 11 divided by negative x/4?

• 44/x

• -44/x

• 11x/4

• -11x/4

If a trench digger moves at 3/8 miles per hour, how long will it take to dig 2/3 miles?

• 2 hours

• 1 hour

• 9/16 hours

• 16/9 hours

What is the formula to calculate time when distance and rate are known?

• Time = Distance x Rate

• Time = Distance / Rate

• Time = Distance + Rate

• Time = Rate / Distance