# Adding And Subtracting Decimals Mixed Review Example Video

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# Adding And Subtracting Decimals Mixed Review Example Video Tutorial

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# Adding And Subtracting Decimals Mixed Review Example

This clip solves a given decimal addition and subtraction question:

1.867 - 0.43 + 72.491 - 25.4

In order to add decimals, you should
• line up the decimal points of the addends
• if necessary, place zeros to the decimal places of each number to match the number of decimal places of the number with most decimal places
• add the number by following the rules of adding whole numbers
• place the decimal point to the result lined up with the addends

Addition is the basic operation of arithmetic. In its simplest form, addition combines two numbers, the addends or terms, into a single number, the sum.

Adding more than two numbers can be viewed as repeated addition; this procedure is known as summation and includes ways to add infinitely many numbers in an infinite series; repeated addition of the number one is the most basic form of counting.

Addition is commutative and associative so the order in which the terms are added does not matter. The identity element of addition (the additive identity) is 0, that is, adding zero to any number will yield that same number. Also, the inverse element of addition (the additive inverse) is the opposite of any number, that is, adding the opposite of any number to the number itself will yield the additive identity, 0. For example, the opposite of 7 is (-7), so 7 + (-7) = 0. Addition can be given geometrically as follows.

If a and b are the lengths of two sticks, then if we place the sticks one after the other, the length of the stick thus formed will be a+b

In order to add decimals, you should
• line up the decimal points of the addends
• if necessary, place zeros to the decimal places of each number to match the number of decimal places of the number with most decimal places
• add the number by following the rules of adding whole numbers
• place the decimal point to the result lined up with the addends

# Subtraction

Subtraction is essentially the opposite of addition. Subtraction finds the difference between two numbers, the minuend minus the subtrahend. If the minuend is larger than the subtrahend, the difference will be positive; if the minuend is smaller than the subtrahend, the difference will be negative; and if they are equal, the difference will be zero.

Subtraction is neither commutative nor associative. For that reason, it is often helpful to look at subtraction as addition of the minuend and the opposite of the subtrahend, that is a − b = a + (−b). When written as a sum, all the properties of addition hold.