**Asked by:**Peter Larkin

**Updated:**2 January 2020 09:02:00 AM

# What does commutative mean in math?

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division.

## Bearing in mind, what does commutative mean in math example?

The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around. For addition, the rule is "a + b = b + a"; in numbers, this means 2 + 3 = 3 + 2. For multiplication, the rule is "ab = ba"; in numbers, this means 2×3 = 3×2.## Consequently, what is commutative mean?

of or relating to commutation, exchange, substitution, or interchange. Mathematics. (of a binary operation) having the property that one term operating on a second is equal to the second operating on the first, as a × b = b × a. having reference to this property: commutative law for multiplication.## Accordingly, the question is what is commutative property maths?

The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.## Do you have your own answer or clarification?

### Related questions and answers

#### Do you multiply first if no brackets?

Just follow the rules of BODMAS to get the correct answer. There are no brackets or orders so start with division and multiplication. 7 ÷ 7 = 1 and 7 × 7 = 49.

#### What are the four rules of maths?

The four basic Mathematical rules are addition, subtraction, multiplication, and division.

#### Where is Bodmas used?

Most common in the UK, Pakistan, India, Bangladesh and Australia and some other English-speaking countries is BODMAS meaning either Brackets, Order, Division/Multiplication, Addition/Subtraction or Brackets, Of/Division/Multiplication, Addition/Subtraction. Nigeria and some other West African countries also use BODMAS.

#### How is Bodmas calculated?

The BODMAS rule states we should calculate the Brackets first (2 + 4 = 6), then the Orders (5

^{2}= 25), then any Division or Multiplication (3 x 6 (the answer to the brackets) = 18), and finally any Addition or Subtraction (18 + 25 = 43).#### Do you add or multiply first in equations?

Order of operations tells you to perform multiplication and division first, working from left to right, before doing addition and subtraction. Continue to perform multiplication and division from left to right. Next, add and subtract from left to right.

#### What is the difference between closure property and commutative property?

In summary, the Closure Property simply states that if we add or multiply any two real numbers together, we will get only one unique answer and that answer will also be a real number. The Commutative Property states that for addition or multiplication of real numbers, the order of the numbers does not matter.

#### What is difference between commutative and associative property?

The commutative property concerns the order of certain mathematical operations. The operation is commutative because the order of the elements does not affect the result of the operation. The associative property, on the other hand, concerns the grouping of elements in an operation.

#### What are the three arithmetic laws?

There are three laws of arithmetic: The associative law, the commutative law, and the distributive law.

#### What is commutative and associative?

In math, the associative and commutative properties are laws applied to addition and multiplication that always exist. The associative property states that you can re-group numbers and you will get the same answer and the commutative property states that you can move numbers around and still arrive at the same answer.

#### What are the four basic rules of algebra?

The Basic Laws of Algebra are the associative, commutative and distributive laws. They help explain the relationship between number operations and lend towards simplifying equations or solving them. The arrangement of addends does not affect the sum.

#### Does Bodmas apply to all equations?

First, BODMAS does not apply to any equations. It is one possible set of rules used to determine in which order the operations should be carried out in order to determine the value of a mathematical expression (not equation, which is an equality asserting that two expressions have the same value).

#### What is the difference between Bodmas and Bomdas?

BOMDAS and BODMAS give the same answer, correctly interpreted. Common misconception 3: BOMDAS or BODMAS tells me to do addition before subtraction.

Brackets | Either BODMAS or BOMDAS must be interpreted as implying the same order of operations. | |
---|---|---|

or | Subtraction |

#### What does Bedmass stand for?

BEDMAS stands for Brackets, Exponents, Division, Multiplication, Addition and Subtraction.

#### Why is commutative property important?

The Commutative Property. The commutative property is the simplest of multiplication properties. It has an easily understandable rationale and impressive immediate application: it reduces the number of independent basic multiplication facts to be memorized.

#### What is commutative law kids?

The Commutative Law of Addition says that it doesn't matter what order you add up numbers, you will always get the same answer. Sometimes this law is also called the Order Property.

#### Does Bodmas apply if no brackets?

Originally Answered: Does BODMAS apply when there are no brackets? Yes it does. If no brackets the next step is Indices then Multiplication and/or Division then Addition and/or Subtraction.

#### What is the correct order of operations?

What it means in the Order of Operations is "Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction". When using this you must remember that multiplication and division are together, multiplication doesn't come before division. The same rule applies to addition and subtraction.

#### How do you prove the commutative property?

There is now a rather ugly proof that multiplication is commutative: if x and y are integers, then they are both of the form 0, n or -n for some positive integer n.

#### Which of the following is an example of the commutative property?

Commutative property of addition: Changing the order of addends does not change the sum. For example, 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+44, plus, 2, equals, 2, plus, 4. Associative property of addition: Changing the grouping of addends does not change the sum.

#### What is the commutative law?

Commutative law, in mathematics, either of two laws relating to number operations of addition and multiplication, stated symbolically: a + b = b + a and ab = ba. From these laws it follows that any finite sum or product is unaltered by reordering its terms or factors.

#### What is the Bidmas rule?

The order of operation is a rule that clarifies in which order operations of a mathematical expression should be performed. For example, if the expression is 1 + 2 × 3, the result will be different depending on if you add or multiply first.

#### What is the rule for adding and multiplying?

Over time, mathematicians have developed a set of rules called the order of operations to determine which operation to do first. The rules are: Multiply and divide from left to right. Add and subtract from left to right.

#### Is Bodmas wrong?

Wrong answer

Its letters stand for Brackets, Order (meaning powers), Division, Multiplication, Addition, Subtraction. It contains no brackets, powers, division, or multiplication so we'll follow BODMAS and do the addition followed by the subtraction: This is erroneous.

Its letters stand for Brackets, Order (meaning powers), Division, Multiplication, Addition, Subtraction. It contains no brackets, powers, division, or multiplication so we'll follow BODMAS and do the addition followed by the subtraction: This is erroneous.

#### Who invented Bodmas?

History of BODMAS

Achilles Reselfelt is a mathematician who invented BODMAS. It is a mnemonic that helps us remember how to evaluate mathematical operators in a mathematical statement involving more than one mathematical operation.

Achilles Reselfelt is a mathematician who invented BODMAS. It is a mnemonic that helps us remember how to evaluate mathematical operators in a mathematical statement involving more than one mathematical operation.

#### Why is order of operations important in real life?

The order of operations is a rule that tells you the right order in which to solve different parts of a math problem. Subtraction, multiplication, and division are all examples of operations.) The order of operations is important because it guarantees that people can all read and solve a problem in the same way.

#### Is Bodmas always used?

Absolutely not—and for two reasons. Reason #1: If I need to evaluate 2 × (3 + 4), strictly following BODMAS requires you to do the addition first because it is enclosed by brackets, so you would get 2 × 7 = 14. That is the correct answer, but you were not in the least required to do it that way.

#### What does the O in Bodmas stand for?

BODMAS is an acronym that has been designed to help children to remember the 'order of operations' - meaning the order in which they should carry out the series of mathematical processes that is presented to them. BODMAS stands for Brackets, Orders, Division/Multiplication, Addition/Subtraction.