Place Value

Place Value

When doing a place value it best to understand what numbers and digits are, for shot a number is a string of more digits (345), while a digit is a single numeric (from 0 to 9).

Place value is the system of placing a value in the position corresponding to it place in the string of number, some mathematics teacher says hundred tens unit.

The above table illustrate the million, thousand, and hundred in which digit are place base on their specific state. (Advance place value table is show below at the example 8)

Examples:

    1. Say we want to find the place in which every value in the number 3,001,000. As show below the 3 digit is place under million because it have six zeros next to it, also the digit 1 is place under the thousand under the thousand and note the two zeros in front of the 1.

Because the only number representing thousand is only one, if it place under the hundred thousand or ten thousand it could change the number we are working with (010, 000 means ten thousand while 100,000 means hundred thousand). The hundred has zero due to the number we  were working on (3,001,000).
3,001,000 = 3,000,000 + 1,000.
Three million, one hundred thousand, if says in word.

  2. In the table below the  number 47,040,070 is fill in, At the example 1 above I have state that million always have six number after it, now 4 did not have six number after, it but 47 does, that means the two digit 47 should be place under the million (do we just place all the 47 under the million? No,  the 4 should be place under the ten million and the 7 under the unit million ), you should have know by this time that every number containing only one digit after it is ten and the one that have nun is always unit.
The 40 is place under the hundred because it has three number after it (4 is place under ten, and the zero that is with the 4 is place under the unit thousands). Next is the 70, (7 under tens and 0 under units because it is only one digit as explain above).
47,040,070 = 47,000,000 + 40,000 + 70
 forty seven million, forty thousand, seventy.

    3. To place the number 258,309 in value table, 258 is place under thousand because it has three number next to it , and 309 is place next as show below (read the above example).
258,304 = 258,000 + 304
two hundred  fivety eight thousand, three hundred  nine.

    4. Number 578,387,824 = 578,000,000 + 387, 000 + 823 (as describe below)
five hundred seventy eight million, three hundred eighty seven thousand, eight hundred twenty  three.
 

    5. In the table below, number 78,634,304 is break down to.
78,634,304 = 78,000,000 + 634, 000 + 304
seventy eight million, six hundred  thirty four thousand, three hundred four.

    6. 608,004 = 608, 000 + 004. Which is pronounced sixty hundred eight thousand, four.

 

    7. The number 57,028,003 = 57, 000 000 + 28, 000 + 3. Fivety seven million, twenty eight thousand, three

 

Times are when you have to read number more than million, Below table contain some value with long length of number other than million. The value below is pronounced,
 four hundred ninety two Quintilian, two hundred eighty two quadrillion, three hundred forty six trillion, seven hundred seventy six million, nine hundred six thousand, five hundred thirty one. 

Note: In these examples above I have put some zeros, when zero appear to the right of a digit it sometimes means a placeholder, which help keeping other digit in their proper position. But when it appear to the left of a digit its call the leading zero, it serve n o purpose than to give the space nonempty (you can remove it if you like). Also I have put a comma (,) while writing in word, don`t put and it means a decimal
I plead you to practice as many  questions as you like and free free to share it in the comment section or if you want a question.