Exploring Operations with Rational Numbers

What are the basic operations performed on rational numbers?

• Algebraic Factoring, Equation Solving

• Integration, Differentiation, Limit Calculation

• Geometric Constructions, Trigonometric Calculations

• Addition, Subtraction, Multiplication, Division

What is the method called that is used to convert a mixed number into an improper fraction?

• Cartwheel Texas

• Flip Change Keep

• Cross Multiply

• Fractional Reduction

What is the technique called for dividing fractions?

• Simplify and Divide

• Divide and Conquer

• Keep, Change, Flip

• Flip, Change, Keep

How do you align numbers when multiplying decimals?

• Align to the right

• Align to the left

• Align the decimal points

• Random alignment

What is the mnemonic used to remember the steps for dividing decimals?

• Swoop, Swoop, and Score

• Reduce, Reciprocate, Resolve

• Divide, Multiply, Subtract

• Shift, Align, Calculate

When subtracting decimals, what is crucial about the decimal points?

• They must be aligned vertically

• They should be added together

• They should be ignored

• They must be removed

In the multiplication of decimals, how do you determine the placement of the decimal in the product?

• Guess based on the size of the numbers

• Always place it two spaces from the right

• Place it where it was in the larger number

• Count the total number of decimal places in the factors

What is the result of multiplying a positive and a negative number?

• Always a positive

• The result is zero

• Always a negative

• Could be either, depending on the numbers

What is the first step in the 'Keep, Change, Flip' method for dividing fractions?

• Simplify the fractions

• Flip the second fraction

• Keep the first fraction the same

• Change the division sign to multiplication

What must be done to the divisor in the 'Swoop, Swoop, and Score' method for dividing decimals?

• Divide it by the dividend

• Make it a whole number

• Convert it into a mixed number

• Multiply it by ten