Order of Operations

Front

What is the Order of Operations in mathematics?

Back

The Order of Operations is a set of rules that dictates the sequence in which calculations are performed in a mathematical expression. The acronym PEMDAS is often used to remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

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What does it mean for a decimal to be terminating?

Back

A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, 0.75 is a terminating decimal.

Front

What does it mean for a decimal to be repeating?

Back

A repeating decimal is a decimal number that has one or more digits that repeat infinitely. For example, 0.333... (where 3 repeats) is a repeating decimal.

Front

How do you classify the fraction \( \frac{7}{8} \) as terminating or repeating?

Back

The fraction \( \frac{7}{8} \) is classified as terminating because it can be expressed as the decimal 0.875, which has a finite number of digits.

Front

What is the first step in solving the expression 3 + 4 x 6 - 4?

Back

The first step is to perform the multiplication: 4 x 6 = 24.

Front

What is a quotient in mathematics?

Back

A quotient is the result of dividing one number by another. For example, in the division 34 ÷ 2, the quotient is 17.

Front

If Lindsey owes her friend $13 and earns $18, how do you calculate how much money she has left?

Back

To find out how much money Lindsey has left, subtract the amount she owes from the amount she earns: $18 - $13 = $5.

Front

What is the significance of parentheses in the Order of Operations?

Back

Parentheses indicate which operations should be performed first in a mathematical expression, overriding the standard order of operations.

Front

What is the difference between multiplication and addition in terms of operation priority?

Back

In the Order of Operations, multiplication is performed before addition. This means that in an expression, you should calculate multiplication first before adding any numbers.

Front

How can you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). For example, \( \frac{4}{5} = 4 ÷ 5 = 0.8 \).