Evaluating Numerical Expressions with Rational Numbers

This video tutorial covers the B section of Algebra, focusing on evaluating numerical expressions involving rational numbers. It explains the order of operations with fractions, mixed numbers, and decimals. The tutorial provides detailed examples of multiplication, division, and subtraction of fractions, as well as complex operations involving both fractions and decimals. The instructor emphasizes the importance of following the correct order of operations and provides tips to avoid common mistakes. The video concludes with advanced examples and encourages students to practice these concepts.

What is the first step in evaluating the expression 1 + (-2/3) * (3/4) according to the order of operations?

• Subtraction

• Multiplication

• Division

• Addition

When simplifying the product of 3/4 and the reciprocal of 1/5, what is the result?

• 1/20

• 4/15

• 15/4

• 3/20

How do you convert the division of 0.2 by 0.4 into a fraction?

• 2/1

• 2/4

• 1/2

• 1/4

What is the result of 9 * 0.1?

• 0.9

• 0.01

• 0.09

• 9

In the expression 0.2 / 0.4 * 2 + 4, what operation should be performed first?

• Addition

• Subtraction

• Division

• Multiplication

What is the simplified form of -1/5 + (-3/10) * 2?

• -3/10

• -1/5

• -1/10

• -1/2

How do you handle the double negative in the expression -1/5 + (-3/10)?

• Subtract it

• Treat it as a positive

• Multiply it

• Ignore it

What is the result of squaring -1/4?

• 1/16

• 1/8

• -1/16

• -1/8

In the expression (2/4 + (-3/4))^2, what is the first step?

• Subtract the fractions

• Add the fractions

• Multiply the fractions

• Square the terms

What is the result of converting -3 1/2 to an improper fraction?

• -7/2

• -1/2

• -5/2

• -3/2