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Place Value in Hundred Thousands

This topic deals with the concept of place value in hundred thousands. A student learns to identify place value and write a number in different forms. Powers of 10 and some application problems are also covered.

Topic: Identify Place Value

  • 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

Topic: Number Forms - Standard, Word, Short Word, Expanded

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

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

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

  • To find the short word name, write the first group as numbers. Follow by the group value in words. For example, the short word name for the number 234,000 is 234 thousand

  • To write a number in expanded form, multiply each digit by its place value, and place addition signs between the digit values. For example, 5,665 in expanded form is 5,000 + 600 + 50 + 5

Topic: Problems on Place Value

  • 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 2,987 is 3,987

  • 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 12,876 is 11,876

Topic: Powers of 10

  • 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

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