multiplication and fractions 5.2.14

Front

What is multiplication?

Back

Multiplication is a mathematical operation that represents the repeated addition of a number. For example, 3 × 4 means adding 3 four times: 3 + 3 + 3 + 3 = 12.

Front

What is a fraction?

Back

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, 1/2 means one part out of two equal parts.

Front

How do you multiply a whole number by a fraction?

Back

To multiply a whole number by a fraction, multiply the whole number by the numerator and then divide by the denominator. For example, 3 × 2/5 = (3 × 2) / 5 = 6/5.

Front

What does the term 'mixed number' mean?

Back

A mixed number is a whole number combined with a fraction. For example, 2 1/2 is a mixed number, which means 2 whole parts and 1/2 of another part.

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 1/2 = (2 × 2 + 1)/2 = 5/2.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication across each addend.

Front

What is the result of (5 × 3) − (5 × 2/5)?

Back

The result is 15 - 2 = 13.

Front

How do you represent multiplication visually?

Back

Multiplication can be represented using arrays, area models, or number lines to show how many groups of a number are being added together.

Front

What is the relationship between multiplication and division?

Back

Multiplication and division are inverse operations. If a × b = c, then c ÷ b = a and c ÷ a = b.

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its simplest form, where the numerator and denominator have no common factors other than 1.