Operations with Rational Numbers

In this lesson, Mrs. Lopez teaches grade seven students about collecting like terms using rational numbers, including fractions, mixed numbers, and decimals. The lesson covers adding and subtracting rational numbers, combining like terms with variables, and using the distributive property. Students are guided through exercises and examples to practice these concepts, with a focus on finding common denominators and applying the commutative property. The lesson concludes with homework assignments to reinforce the material covered.

What is the first step in adding or subtracting rational numbers?

• Multiply all numbers by 10

• Change subtraction to addition of the opposite

• Find the least common multiple

• Convert all numbers to decimals

When decomposing mixed numbers, what should you do with the whole number part?

• Ignore it

• Multiply it by the fraction part

• Add it to the fraction part

• Subtract it from the fraction part

How do you handle negative fractions when combining them?

• Add their absolute values

• Subtract their absolute values

• Multiply them

• Divide them

What is the common denominator used for combining 2/3 and -3/10?

• 20

• 40

• 10

• 30

In expressions with variables, what is the first step to simplify them?

• Add all coefficients

• Subtract all coefficients

• Multiply all terms by 2

• Find a common denominator

What is the purpose of using the commutative property in expressions?

• To change the order of operations

• To switch the positions of terms

• To multiply terms by zero

• To eliminate variables

What is the first step when using the distributive property with fractions?

• Add all fractions together

• Change subtraction to addition of the opposite

• Multiply all fractions by 2

• Divide all fractions by their denominators

Why is it important to perform multiplication before addition or subtraction in expressions?

• To eliminate fractions

• To simplify the expression

• To avoid errors in calculation

• To ensure the correct order of operations

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

• 1/4

• -1/4

• 1/2

• -1/2

How do you handle mixed numbers when using the distributive property?

• Convert them to improper fractions

• Subtract the fraction part

• Ignore the whole number part

• Add them directly