Place Value in Millions

A place-value chart shows the value of the digit in a number

Value of a digit is found by multiplying it with its place value

The first digit from the right has a place value ones, second has tens, and so on

The digit in ones place has value = digit x 1. The digit in tens place has value = digit x 10 and so on

A number written in the usual place-value way is said to be in standard notation

To write the word name and the short word name of a number, write the number in the place value chart

Look for commas that separate groups of 3 digits. The commas help you identify the thousands, millions, billions, and so on

To find the short word name, write the first group as numbers. Follow by the group value in words

To write a number in expanded form, multiply each digit by its place value, and place addition signs between the digit values

To write a number that is 1,000 more than a number, add one to the digit in the one thousands place. For example: 1,000 more than 14,218,987 is 14,219,987

To write a number that is 1,000 less than a number, subtract one from the digit in the one thousands place. For example: 1,000 less than 14,218,987 is 14,217,987

Numbers like 10, 100, and 1,000 are called powers of 10. They are numbers that can be written as products of 10s

For example: 100 can be written as 10 x 10 or 10². The raised digit is called an exponent

The exponent tells how many times 10s are multiplied

The number 10² is read as "10 to the second power" or "10 squared". The number 10² (with an exponent) is in exponential notation

A number 10ⁿ represents 1 followed by n zeros. So, 10³ = 1,000