Subtraction | Homework Help

Posts Tagged ‘subtraction’

Subtracting Decimals

Tuesday, September 15th, 2009

How to Subtract Decimals

Description

A detailed tutorial on how to subtract decimals. Step by step tutorial including several examples of subtracting decimals for reference. It is a requirement to know how to subtract decimals for all math classes.

Overview

Decimals are really no different from regular numbers when you perform operations on them, but sometimes the numbers in the decimal places can be a little tricky to figure out. The operation we will be talking about is subtraction. The most important thing to remember when doing anything with decimals is to match up the decimal points and add zeros onto the end if you need to. Then just subtract like you normally would, and remember to put your decimal point back in the right place.

Tags: arithmetic, decimal points, decimals, difference, Math, operations, point, subtract, subtraction
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Operations of Functions

Thursday, September 10th, 2009

How to Perform Operations of Functions

Description

Step-by-step video tutorial on how to solve various operations of functions. Several example problems are provided. Knowledge of functions and operations of functions are required for grade-school algebra.

Overview

I’m sure you are familiar with the normal form of a function – f(x) = (equation or number). If you have a second one, it will be expressed as g(x) = (equation or number). But what happens if you are told to combine the functions through an operation? You follow these basic patterns:

(f + g)(x) = f(x) + g(x)

(f – g)(x) = f(x) – g(x)

(f * g)(x) = f(x) * g(x)

(f / g)(x) = f(x) / g(x)

These are all very basic, and very easy to solve. There is one other pattern, which can seem rather confusing. This pattern is (f o g)(x) = f[g(x)]. The circle means “of”, so you would read that to be “f of g of x”. This means that for every x you see in the f function, you replace it with the entire g function.

Tags: addition, arithmetic, division, functions, Math, multiplication, operations, operations of functions, subtraction
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Subtracting Fractions

Tuesday, September 8th, 2009

How to Solve Subtraction Problems with Fractions

Description

This video show how to subtract fractions and mixed numbers that have different denominators. The process is clearly explained. One example problem is provided in the video.

Overview

Subtracting fractions is very similar to adding fractions. The most important part of subtracting fractions is making sure you have an LCD – Least Common Denominator. If your denominators are already the same, then that makes is much easier.

Example: (a/b) – (c/b) = (a – c) / b

The one problem with subtraction is that unlike addition, it does matter which number is bigger. If you are subtracting a smaller number from a bigger number, there is no problem. But if you are subtracting a larger number from a smaller number, you may not know what to do. However, all this does is create a negatuve number. Pretend that your numbers are flipped. Subtract the smallest number from the biggest number. That number is still your answer, but if you had to flip the numbers to get it then you need to put a negative sign in front of it.

Example: (1/2) – (5/2) = (1 – 5) / 2

1 – 5 is obviosuly a bigger number subtracted from a smaller number. Now, to flip these. 5 – 1 = 4. So, 1 – 5 = -4. The answer to our sample problem is -4/2.

Tags: algebra, arithmetic, denominator, fractions, LCD, least common denominator, Math, negative, numerator, positive, subtract, subtraction
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Negative Numbers

Thursday, September 3rd, 2009

An Overview of Negative Numbers

Description

This video is all about how to add and subtract negative numbers from other negative numbers and positive numbers. It clearly illustrates the difference between a negative number and a positive number. Many examples and sample problems are provided.

Overview

Negative numbers are the opposite of the positive numbers that we are used to. The bigger a number with a negative, then the small the number really is (ex: -5 is smaller than -2). Remembering that a negative number is an opposite, when you use it, you do just that – the opposite. x + -y = x – y. x – (-y) = x + y. -x – (-y) = -x + y. A negative plus a negative is exactly the same as a positive plus a positive, but with a negative sign. For multiplication and division, two negatives cancel each other out to be positive, and one negative and one positive will be negative.

Tags: additon, arithmetic, division, Math, multiplication, negative, negative numbers, positive, positive numbers, subtraction
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Order of Operations

Friday, August 28th, 2009

Order of Operations Explained

Description

A detailed tutorial on the use of Order of Operations. Step by step tutorial including few examples for reference. Knowledge of the Order of Operations is important for basic arithmetic.

Overview

The order of operations is better known as PEMDAS: Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction. This means that you follow that order when solving a long equation, and if there is more than one set of a certain operation then you move in the order of left to right. You can use a mnemonic to remember PEMDAS. The most common one is Please Excuse My Dear Aunt Sally, but if you like you can be creative and come up with your own!

Tags: addition, arithmetic, division, exponents, Math, multiplcation, order of operations, parenthesis, subtraction
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Absolute Value

Thursday, August 27th, 2009

How to Determine Absolute Value

Description

A detailed tutorial on the use of the Absolute Value. Step by step tutorial including a few samples on Absolute Value. Knowledge of the Absolute Value is a requirement for grade school algebra.

Overview

The absolute value of a real number is its numerical value without regard to its sign – it is the distance the number is away from 0. So, for example, 3 is the absolute value of both 3 and −3.

The absolute value of a number a is denoted by | a | .

You can think of the absolute value meaning that the number is positive when you solve equations with it; however, sometimes it is necessary to remember that there’s a possibility the actual number could be negative.

Generalizations of the absolute value for real numbers occur in a wide variety of mathematical settings. For example an absolute value is also defined for the complex numbers, the quaternions, ordered rings, fields and vector spaces. The absolute value is closely related to the notions of magnitude, distance, and norm in various mathematical and physical contexts.

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Tags: absolute value, addition, algebra, Math, subtraction
Posted in Algebra | No Comments »