Write the following numbers in digit by using an international place value chart. Also write them in expanded form. Seven million three hundred three thousand two hundred six.
Hint: In the international system the digits are represented by putting a comma after every three digits. Like if we represent 1 lakh in the international system then it is represented as 100,000 and not 1,00,000 and in the alphabet it is called 100 thousand and not 1 lakh.
Complete step-by-step answer:
It is given in the question that we have to write the given number seven million three hundred three thousand two hundred six into digits. Now, if we look at the international system for representing numbers then we get to know that we will represent number by putting a comma after every three numbers. So, now we will write our given number seven million three hundred three thousand two hundred six in digits-
Seven million is written as – 7,000,000. Similarly three hundred three thousand is written as – 303,000, and two hundred six is written as – 206. So, if we write it together we get – 7,303,206.
Expanded form means writing a number to show the value of each digit. It can be represented as the sum of each digit multiplied by its matching place value, ones, tens, hundreds etc. For example, the expanded form of 999 is $9\times 100+9\times 10+9\times 1$ . Similarly, we can write an expanded form of 7,303,206 as - $7\times 1,000,000+3\times 100,000+0\times 10,000+3\times 1000+2\times 100+0\times 10+6\times 1$ .
Note: The main difference between the national and international representation of digit is placing commas between them. Internationally numbers are represented by putting comma after every three digits but nationally comma are entered after every two digits after hundred places. Like we have written 7,303,206 internationally and nationally we write it as 73,03,206 which is seventy three lakh, three thousand two hundred six.