Flashback Friday 12/13 - Decimal Operations, Fraction Operations

Front

What is a decimal?

Back

A decimal is a fraction expressed in a special form, where the denominator is a power of ten. For example, 0.5 is the decimal representation of the fraction \(\frac{5}{10}\).

Front

How do you multiply decimals?

Back

To multiply decimals, multiply the numbers as if they were whole numbers, then count the total number of decimal places in both numbers and place the decimal point in the product accordingly.

Front

What is 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.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, \(\frac{2}{3} \cdot \frac{3}{4} = \frac{2 \cdot 3}{3 \cdot 4} = \frac{6}{12} = \frac{1}{2}\).

Front

What is the product of \(\frac{2}{5}\) and \(\frac{3}{4}\)?

Back

The product is \(\frac{3}{10}\).

Front

What is the product of \(\frac{1}{3}\) and \(\frac{2}{5}\)?

Back

The product is \(\frac{2}{15}\).

Front

What does it mean to simplify a fraction?

Back

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

Front

How do you divide fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction. For example, \(\frac{2}{3} \div \frac{4}{5} = \frac{2}{3} \cdot \frac{5}{4} = \frac{10}{12} = \frac{5}{6}\).

Front

What is the quotient of \(\frac{6}{10}\) and \(\frac{4}{5}\)?

Back

The quotient is \(\frac{3}{5}\).

Front

How do you find the average of a set of numbers?

Back

To find the average, add all the numbers together and then divide by the total count of the numbers.