Number and Operations in Base Ten

Place Value Chart 

Our whole-number system is based on a simple pattern of tens.  Each place has ten times the value of the place to its right.  The symbols, 0,1,2,3,4,5,6,7,8, and 9 are called digits.  They can be used to write any whole number.  Place Value tells you how much each digit stands for. We also arrange numbers into groups of three places called periods.  

RENAMING NUMBERS: 

You can use place value to rename whole numbers.  Here are different ways to name the number 1,400. 

1,400= 1 thousand, 4 hundreds

         = 14 hundreds

         = 140 tens

         = 1,400 ones 

Standard Form:  Using digits to write the number.   Example; 600 

Word Form:  The value of a number written in words.  Example;  600 in written form is six hundred. 

Expanded Form:  Using addition signs along with digits with zeros.  Example; 1,235 in expanded form is 1,000+200+30+5. 

Rounding: 

When you round a number, you replace it with a number that is easier to work with but not as exact.  You can round numbers to different places.  

Round: To drop or zero-outs digits in a number and change the digit in a specified place using these rules:

*  If the digit in the first place after the specified place is 5 or more, add 1 to the digit in the specified place.  This rounding up. 

* If the digit in the first place after the specified place is less than 5, do not change the digit in the specified place.  This is rounding down.  

Basic Properties of Numbers 

Partial Products  and   Area Models: 

Double-Digit Area Models