# Math Antics - Order Of Operations

mathantics2012-04-16

Math#educational#Math Antics#arithmetic#addition#subtraction#multiplication#division#pemdas#bemdas#parentheses first

8M views|12 years ago

ðŸ’« Short Summary

The video discusses the importance of the order of operations in math and introduces the four basic rules, including doing operations in parentheses and brackets first, then handling exponents, followed by multiplication and division, and finally addition and subtraction. The rules are illustrated with examples to demonstrate their application in ensuring a standard and consistent approach to solving mathematical expressions.

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ðŸ“Š Transcript

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Two different approaches to solving the math problem 2 + 5 * 4 demonstrate the need for order of operations.

00:00One person prefers addition and gets the answer 28 (2 + 5 = 7, then 7 * 4 = 28).

Another person prefers multiplication and gets the answer 22 (5 * 4 = 20, then 20 + 2 = 22).

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The video explains the meaning and use of parentheses and brackets in math.

02:05Parentheses and brackets are used to group numbers and operations together.

Operations inside parentheses or brackets should be done first.

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The video discusses the importance of exponents and demonstrates their use in the order of operations.

04:20Exponents indicate repeated multiplication.

Simplifying exponents is the next step after parentheses in the order of operations.

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Examples are provided to illustrate the rules of multiplication and division before addition and subtraction in the order of operations.

06:29Multiplication is done before addition.

Division is done before subtraction.

In cases where both multiplication and division (or addition and subtraction) are present, the operations are carried out from left to right.

ðŸ’« FAQs about This YouTube Video

### 1. What is the importance of the order of operations in mathematics?

The order of operations is crucial in mathematics as it provides a standard set of rules for evaluating expressions, ensuring that everyone will consistently arrive at the correct answer. Without these rules, different interpretations could lead to varying and potentially incorrect results.

### 2. How many rules are there in the order of operations, and what are they?

There are four rules in the order of operations: 1. Perform operations within parentheses and brackets first. 2. Evaluate exponents next. 3. Complete multiplication and division before addition and subtraction. 4. When there are multiple operations of the same priority, work from left to right.

### 3. Can you provide an example of the order of operations in action?

Certainly! Let's consider the expression 3 + 5 * 2. Following the order of operations, we first perform the multiplication (5 * 2 = 10) and then the addition (3 + 10 = 13), resulting in the final answer of 13.

### 4. Why do we need rules for the order of operations? Can't we just perform the operations in any order we want?

The rules for the order of operations are necessary to ensure consistency and accuracy in mathematical calculations. Without these rules, different individuals could interpret and solve expressions in various ways, leading to conflicting and incorrect results.

### 5. How do parentheses affect the order of operations?

Parentheses allow us to specify which operations to perform first within a larger expression, overriding the default order. By using parentheses, we can clarify the sequence of operations and ensure that certain parts of the expression are evaluated before others.

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