CR: Unit 1 test (OOO, fractions, exponents)

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, allowing them to be added or compared. For example, for the fractions \(\frac{2}{3}\) and \(\frac{3}{4}\), a common denominator is 12.

Front

How do you simplify the expression \(15 + 0\)?

Back

The simplified result is 15.

Front

What is the process to add fractions \(\frac{4}{10} + \frac{3}{8}\)?

Back

To add these fractions, find a common denominator (which is 40), convert each fraction, and then add: \(\frac{16}{40} + \frac{15}{40} = \frac{31}{40}\).

Front

What is the value of the expression \(\frac{(3.70 + 2.3) + 8}{2}\)?

Back

The value of the expression is 7.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form, removing any unnecessary elements or combining like terms.

Front

What is an exponent?

Back

An exponent indicates how many times a number (the base) is multiplied by itself. For example, \(2^3 = 2 \times 2 \times 2 = 8\).

Front

How do you find the least common multiple (LCM) of two numbers?

Back

To find the LCM, list the multiples of each number and identify the smallest multiple they share. For example, the LCM of 3 and 4 is 12.

Front

What is the formula for adding fractions?

Back

To add fractions, use the formula: \(\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}\), where a, b, c, and d are integers.

Front

What is the simplified form of \(\frac{30}{40}\)?

Back

The simplified form of \(\frac{30}{40}\) is \(\frac{3}{4}\).

Front

What is the difference between a proper fraction and an improper fraction?

Back

A proper fraction has a numerator smaller than its denominator (e.g., \(\frac{2}{3}\)), while an improper fraction has a numerator larger than or equal to its denominator (e.g., \(\frac{5}{4}\)).