What is place value? (Let's plunge in #3)

Place value is a concept that helps us understand the meaning and value of each digit in a number. It tells us how much a digit is worth based on its position in the number. 

For example, in the number 123, the digit 1 is worth 100, the digit 2 is worth 20, and the digit 3 is worth 3. We can write this number as 100 + 20 + 3 using place value.

To find the place value of a digit, we can use a place value chart that shows the names and values of each position in a number. The chart below shows the place value chart for whole numbers up to ten millions.

We can also use place value to write numbers in different forms. 

One form is the standard form, which is how we usually write numbers using digits. 

Another form is the word form, which is how we write numbers using words. 

A third form is the expanded form, which is how we write numbers using place value. 

For example,

Standard form: 7,654,321

 Word form: seven million six hundred fifty-four thousand three hundred twenty-one

 Expanded form: (7 x 10,00,000) + (6 x 1,00,000) + (5 x 10,000) + (4 x 1,000) + (3 x 100) + (2 x 10) + (1 x 1)
Place value also applies to decimal numbers, which are numbers that have a decimal point and digits after it. The decimal point separates the whole number part from the fractional part of the number.

The digits after the decimal point represent parts of a whole that are smaller than one.

To find the place value of a digit in a decimal number, we can use a decimal place value chart that shows the names and values of each position after the decimal point. The chart below shows the decimal place value chart for fractions up to thousandths.

As we move from left to right on the chart after the decimal point, the value of each position decreases by ten times. 

For example

 Consider the number 7,654,321.1234

We can also use place value to write decimal numbers in different forms. 

One form is the standard form, which is how we usually write numbers using digits and a decimal point. 

Another form is the word form, which is how we write numbers using words.

 A third form is the expanded form, which is how we write numbers using place value and decimals or fractions. 

standard form   7,654,321.1234

word form   seven million six hundred fifty-four thousand three hundred twenty-one and one thousand two hundred thirty four ten thousands

Expanded form  (7 x 10,00,000) + (6 x 1,00,000) + (5 x 10,000) + (4 x 1,000) + (3 x 100) + (2 x 10) + (1 x 1)+ (1 x 1/10)+ (2 x 1/100)+(3x 1/1000) + (4 x 1/10000)

That is    7000000+600000+50000+4000+300+20+1+.01+.002+.0003+..00004

For example,

Place value is an important concept that helps us understand and compare numbers.   

As we move from right to left on the chart, the value of each position increases by ten times. As we move from left to right, the value of each position decreases by ten times. 

For example, in the number 7,654,321.1234

The digit 7 is in the millions place and has a value of 7 x 1,000,000 = 7,000,000.              

The digit 6 is in the hundred thousands place and has a value of 6 x 100,000 = 600,000. 

The digit 5 is in the ten thousands place and has a value of 5 x 10,000 = 50,000. And so on.

                                            Woah! This should be easy enough!

                                              

                                       Bye, and stay tuned for the next blog! :-)