Fourth Grade Math (For Home School or Extra Practice)

By Home School Brew

This book, with over 250 problems, covers the following topics:
Number Theory / System, Addition / Subtraction, Multiplication / Division, Fractions / Decimals, Patterns, Geometry, Algebra, Metric System, and more!
If you are home schooling (or if you are just trying to get extra practice for your child), then you already know that math workbooks and curriculum can be expensive. Home School Brew is trying to change that! We have teamed with teachers and parents to create books for prices parents can afford. We believe education shouldn’t be expensive.
The problem portion of the book may also be purchased individually in "Fourth Grade Math Problems."

• Language: English
• Publisher: BookCaps
• Release date: Nov 11, 2013
• ISBN: 9781310350115

Book preview

About Us

Homeschool Brew was started for one simple reason: to make affordable Homeschooling books! When we began looking into homeschooling our own children, we were astonished at the cost of curriculum. Nobody ever said homeschool was easy, but we didn't know that the cost to get materials would leave us broke.

We began partnering with educators and parents to start producing the same kind of quality content that you expect in expensive books...but at a price anyone can afford. 

We are still in our infancy stages, but we will be adding more books every month. We value your feedback, so if you have any comments about what you like or how we can do better, then please let us know!

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Number Theory and System

Numbers are everywhere! We use them to keep track of our things, measure how tall we are, count how many cats our neighbor has, round up the amount of money is in our IRA, estimate how far it is from New York to Paris, and figure out who sold more raffle tickets to help buy the football team new uniforms. To perform all these numerical tasks we need to know a few things about numbers and how they work in theory and as a system.

Whole Numbers and Place Values

Whole numbers are basically all numbers that are greater than or equal to one. Zero by itself or to the left of a whole number is not considered a whole number. Zero can be a place holder to the right of a whole number or between whole numbers as part of a larger whole number, but as you will learn in the next section, it is not included as part of the name of the whole number.

The smallest whole numbers hold the Ones place value and are the following: 1, 2, 3, 4, 5, 6, 7, 8, and 9. The sequence of whole numbers and their place values are determined by the number of places or columns they hold to the right of the ones place. The table below shows you the layout of the places to the right and their values. You can see that zero plays an important role in the base name as a placeholder.

Number Names

Numbers are often written as words and should be translated to their numeric forms before working a variety of computations and functions. Based on the table from the above section, the smallest base whole number names are presented below and their numeric translations are immediately beneath.

One

1

Ten

10

One Hundred

100

One Thousand

1,000

Ten Thousand

10,000

One Hundred Thousand

100,000

One Million

1,000,000

Ten Million

10,000,000

One Hundred Million

100,000,000

One Billion

1,000,000,000

Since those are the easy ones, here are a few examples of some more challenging number names and their numeric translations:

One hundred fifty two thousand, eight hundred twenty seven

152,827

Three hundred twenty eight million, four hundred three thousand, fifteen

328,403,015

Estimating and Rounding Numbers

Although numbers seem to be an exact measurement, count, or calculation of what you have, need, or should sell, sometimes they are almost correct or basically close enough. For most of our daily needs, calculations, and measurements an estimate or our best guess is all that is required to get the answer that best solves our problem.

An estimate is usually based on a previous or a few previous values regarding the same or similar situation. For example, if you had a professional painter come to your house and paint three bedrooms for a cost of $150 per bedroom, you would estimate the cost to have another room of similar size painted to also be about $150. The actual cost might be $140 or $160 but an estimate only needs to be close to the actual answer.

People also estimate how long certain activities will take. For example, if it took Mary 3 hours to clean the kitchen after the Halloween party, she estimates that it will also take about 3 hours to clean up after the St. Patrick’s Day party. It may take slightly less time or slightly more time, but that is what an estimate does. It puts you close to the actual answer.

Rounding numbers is a specialized type of estimate. To round a number up or down, you need to decide to which place value you want or need to round the number. Your decision to round a number is usually based on the need to simplify the number to make it easier to use in a calculation or series of calculations.

There is one main rule that dictates whether you will round up or down. If the number to the right of the place you need to round is 5, 6,