Rational Numbers and Operations

Mrs. Lopez teaches Grade 7 students about adding and subtracting rational numbers, including mixed numbers, decimals, and fractions. The lesson covers rules for operations, using number lines for modeling, and solving practical problems. Exercises are provided to reinforce learning, and students are encouraged to practice and ask questions.

What is the first step in dealing with subtraction of rational numbers?

• Change subtraction into addition

• Convert subtraction into division

• Ignore the negative sign

• Multiply both numbers

When using a number line, what does the direction of the arrow represent?

• The color of the number

• The type of number

• The sign of the number

• The size of the number

Why is it easier to start with a whole number when using a number line?

• Whole numbers are always positive

• Whole numbers are easier to visualize

• Whole numbers are larger

• Whole numbers are smaller

What is the result of 5 plus negative 2 and 1/2?

• 2 and 1/2

• 3

• 2

• 3 and 1/2

How do you handle subtraction of mixed numbers without a number line?

• Borrow from the whole number

• Ignore the fractions

• Convert to improper fractions

• Add the numbers directly

What is the result of 7 minus negative 9/10?

• 6.9

• 7.1

• 7.9

• 6.1

In the context of rational numbers, what does 'consumes' imply?

• Division

• Multiplication

• Subtraction

• Addition

If a fish is 3 and 1/2 feet below the surface and moves 5 and 1/4 feet deeper, what is its new position?

• 8 and 3/4 feet below

• 7 feet below

• 8 feet below

• 9 feet below

How much does Samantha owe after paying $5.50 of her $7 debt?

• $1.50

• $2.50

• $1.00

• $0.50

What is the remaining gas in the tank if a car starts with 12 gallons and consumes 10 and 1/8 gallons?

• 1 and 7/8 gallons

• 2 gallons

• 1 gallon

• 2 and 1/8 gallons