Exploring Operations with Rational Numbers

This video tutorial covers the four basic operations with rational numbers: addition, subtraction, multiplication, and division. It explains how to handle fractions, including finding common denominators for addition and subtraction, and using the keep-change-flip method for division. The tutorial also demonstrates converting improper fractions to decimals and emphasizes the importance of simplifying fractions.

What is the first step in adding fractions with different denominators?

• Add the numerators directly

• Find the least common multiple of the denominators

• Multiply the numerators

• Subtract the denominators

How do you convert a mixed number to an improper fraction?

• Multiply the whole number by the denominator and add the numerator

• Divide the numerator by the denominator

• Add the whole number to the numerator

• Subtract the numerator from the denominator

What is the result of subtracting 9 from -2?

• -7

• -11

• 11

• 7

When multiplying fractions, where can the negative sign be placed?

• In the numerator

• In the denominator

• Both in the numerator and denominator

• Outside the fraction

What is the simplified form of -6/40?

• -3/40

• 3/20

• -6/20

• -3/20

What is the correct method for dividing fractions?

• Add the numerators of both fractions

• Subtract the denominators of both fractions

• Multiply the fractions directly

• Keep the first fraction, change division to multiplication, and flip the second fraction

What is the result of dividing 4/5 by 2/3?

• 12/10

• 6/15

• 12/15

• 20/6

How do you simplify the fraction 12/-10?

• 12/10

• 6/-5

• -12/10

• -6/5

What is the decimal form of -6/5?

• -1.5

• 1.5

• 1.2

• -1.2

What is the first step in simplifying a fraction?

• Multiply the numerator and denominator by the same number

• Add the numerator and denominator

• Find the greatest common divisor of the numerator and denominator

• Divide the numerator by the denominator