Illustrative Math Grade 5 Unit 2

Front

What is the expression for multiplying a whole number by a fraction?

Back

To multiply a whole number by a fraction, multiply the whole number by the numerator of the fraction and keep the denominator the same. For example, 3 x \frac{3}{8} = \frac{3 \times 3}{8} = \frac{9}{8}.

Front

How do you find the amount of paint used per chair if 5 gallons are used for 12 chairs?

Back

To find the amount of paint used per chair, divide the total gallons by the number of chairs: \frac{5}{12} gallons per chair.

Front

What is the result of multiplying a whole number by a mixed number?

Back

To multiply a whole number by a mixed number, convert the mixed number to an improper fraction first. For example, 6 x 2 \frac{1}{4} = 6 x \frac{9}{4} = \frac{54}{4} = 13 \frac{1}{2}.

Front

How do you calculate the number of correct answers if a student answers \frac{4}{6} of 24 questions correctly?

Back

To find the number of correct answers, multiply the total questions by the fraction correct: 24 x \frac{4}{6} = 16 correct answers.

Front

What is the formula for calculating the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width: Area = length x width.

Front

What does it mean to multiply fractions?

Back

Multiplying fractions involves multiplying the numerators together and the denominators together. For example, \frac{1}{2} x \frac{3}{4} = \frac{1 \times 3}{2 \times 4} = \frac{3}{8}.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. For example, 2 \frac{1}{2} is a mixed number.

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. For example, 2 \frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{5}{2}.

Front

What is the process for finding the area of a shaded region in a shape?

Back

To find the area of a shaded region, calculate the total area of the shape and subtract the area of the unshaded part.

Front

What is the definition of a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number). For example, \frac{3}{4} means 3 parts out of 4.