Applying Operations with Rational Numbers

This video tutorial covers Lesson 5.5 on applying operations with rational numbers. It begins with techniques for interpreting word problems, using an example of calculating Naomi's earnings. Students are encouraged to practice with a problem on page 132. The lesson also explores using fractions and decimals together in calculations, providing multiple methods for solving problems. The video concludes with a summary and homework instructions.

What operation is suggested by the word 'and' in the context of Naomi's working hours?

• Multiplication

• Division

• Addition

• Subtraction

How many total hours did Naomi work over the two days?

• 6.75 hours

• 6.5 hours

• 7 hours

• 6 hours

What is Naomi's hourly earning based on the calculations shown?

• $10

• $8

• $9

• $7.50

How was the reasonableness of Naomi's hourly rate verified?

• By estimation and addition

• By subtraction

• By division

• By multiplication

What does the word 'of' indicate in mathematical operations?

• Subtraction

• Addition

• Division

• Multiplication

How can a decimal be converted into a fraction?

• By dividing by 100

• By adding a denominator of 10

• By multiplying by 100

• By converting to a mixed number

What is the result of multiplying 1/2 by 37.5?

• 19.25

• 18.75

• 18.5

• 19

Which method involves turning a decimal into a mixed number for multiplication?

• Method 4

• Method 3

• Method 2

• Method 1

What is the final form of the answer after solving 1/2 times 37.5?

• 18 3/4

• 18.75

• All of the above

• 75/4

How can you check the correctness of a calculated answer in math problems?

• By re-doing the problem

• By estimation and checking reasonableness

• By using a calculator

• By asking someone else