Grade Four Math

NUMBER SENSE AND NUMERATION

Place Value:

Hundred Millions

The Places

Place Value Chart

Our number system is called base ten because it is a numeral system that is built on the number 10.

When writing numbers in the base-ten numeral system we use symbols called “digits” for ten distinct values. The digits are: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. They can be used to represent any number. You should memorize them!

There are three different parts to the place-value chart. You should keep studying the chart to the right until you are able to draw it by memory!

NUMBER SENSE AND NUMERATION

The Periods

The Places

The Digits

Place Value Table

For example, the standard form of the number we read as

two hundred six thousand, fifty-four is written this way:

206,054

Each group of three digits, separated by a comma, is called a period. When writing numbers in standard form, always remember to use commas to separate the periods.

Note the way that the standard form of the number was written in the place-value chart above. Now it’s your turn!

The Periods

The Digits

Directions: Write each number in words.

5. 80, 062 _____________________________________

6. 10,800 ______________________________________

Directions: Write each number in standard form.

7. eight thousand, six hundred nine ______________

8. two million, fifty-six thousand, three ______________

Directions: Place a comma in each of the numerals below. Then rewrite each numeral in the place-value chart located to the left.

1. 37200005

2. 36200

3. 1903702

4. 5053

Name: __________________________________________

Date: _____/_____/_____

Place-Value Chart

Place-Value Prowl !

GAME TIME

Once your teacher feels you are ready, you may begin the Place-Value Prowl activity.

DIRECTIONS:

This game is best played in pairs.

Two copies of the place-value chart.

You will need a die, pencil, and possibly scratch paper.

The first player rolls the die.

S/he then chooses a place to write the digit that was rolled. (Should s/he write it in the ones place, tens place, hundreds place, etc? The placement of the digit will effect its value, and ultimately, the value of the final number.)

The goal of the game is to create the largest number possible.

After the first player has finished rolling their number and writing it in their place-value chart, the second player does the same.

Continue taking turns rolling the die and writing the digit that comes up in the place out your table until all the boxes in the digit section of both place-value charts our filled.

Then compare the two numbers and see who has the higher number.

NUMBER SENSE AND NUMERATION

Comparing

Numbers

NUMBER SENSE AND NUMERATION

38,509

38,590

One of the skills you are required to master this year is the ability to order and compare whole numbers. To compare two or more numbers, follow these steps:

First, line up the numbers using place value. For example, to compare 38,509 and 38,590 you begin in this way:

Next, begin at th greatest place value, and then move right until you find the first place value where the digits are different:

Compare those digits. Write > , < , or = .

Because 9 > 0, you can say that 38,590 > 38,509.

Because 0 < 9, you can also say that 38,509 < 38,590.

38,509

38,590

↓

↑

Name: __________________________________________

Date: _____/_____/_____

Directions: Study the number 890,536. Write the digit that is in the

1. hundreds place ___

2. ten thousands place ___

3. tens place ___

REVIEW

4. thousands place ___

5. ones place ___

6. hundred thousands place ___

Dear Fourth Grader,

By the end of this school year you will be able to understand large numbers, including the place value of whole numbers to the hundred millions place and decimal numbers to two decimal places. You will solve problems involving the addition, subtraction, multiplication, and division of whole numbers and understand the relationships among the operations including how to factor small whole numbers. You will extend your use and understanding of whole numbers to the addition and subtraction of simple decimals, understand how whole numbers and decimals relate to simple fractions, and be able to describe and compare simple fractions and decimals. You will also learn the concept of negative numbers - all this in number sense.

In algebra, you'll interpret variables, math symbols, and properties to write and simplify expressions and sentences, and to manipulate equations:

As for measurement and geometry, you'll understand the properties of, and the relationships between, plane geometric figures, perimeter and area.

And finally, you will collect, represent, and analyze data to answer statistical questions; organize, represent, and interpret numerical and categorical data; and clearly communicate your findings in statistics and data analysis. Now, let’s get started!

WELCOME TO THE FOURTH GRADE!

Number Sense

PLACE-VALUE TABLE

(By the way, the symbols we use for the digits are called Arabic numerals. However, the Arabs did not invent these symbols, but learned them from the people of India.)

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Base-ten is a positional numeral system. In part, this means that it has different names for different positions, such as ones, tens, hundreds, thousands, etc. Each name stands for a different kind of “unit.” (A unit is a basic amount that is used to count or measure.)

Each unit is located in a certain position that never changes. The names of the different units represent different multiples of ten, which are to be multiplied times whatever digit is in a particular position. And Finally, each position has a value ten times greater than that of the position to its right. All of this information, taken together, forms an important concept known as place value. You will need to develop a solid understanding of base ten and place value to to do well in math.

Another way to present the information listed above is to displayed it in what is known as the Place Value Chart (see below).

PLACE-VALUE CHART

In the fourth grade you will need to be able to tell which digit is in what place value and give the value of that digit.

The first step toward reaching this goal is being able to write numbers in a place value chart like the one below.

Number Sense