Standard Form of a Number

We will learn how to write the numeral in standard form. Here the standard form means the process of writing very large expanded form of a number into small form or small number.

How to write the number in standard form?

Here we will convert expanded form into standard form of a number.

The number 625 can be written as

$Expanded form and Standard Form$

The number written as sum of the place values of its digits is called the expanded form of a number.

1. Write the given expanded form into standard form.

10,00,00,000 + 3,00,00,000 + 2,00,000 + 50,000 + 4,000 + 90 + 7.

$Standard Form of a Number$

Alternate method

$Expanded Form into Standard Form$

Write the standard form of:

(i) 20000 + 7000 + 400 + 20 + 2

= 27422

(ii) 700000 + 60000 + 20 + 9

= 760029

No value is given for the thousands and hundreds place, so we write zeros in these two places.

(iii) 50000 + 300 + 90 + 1

= 50391

No value is given for the thousands, so we write zeros in this place.

(iv) 100000 + 1

= 100001

No value is given for the ten thousands, thousands, hundreds and tens place, so we write zeros in these four places.

(v) 400000 + 900 + 3

= 400903

No value is given for the ten thousands, thousands and tens place, so we write zeros in these three places.

These are the above examples converting the expanded form of numbers to standard form.

Questions and Answers on Standard Form of a Number:

I. Write the following numbers in the standard form.

(i) 1,00,000 + 80,000 + 3,000 + 200 + 50 + 1

(ii) 80,000 + 8

(iii) 5,00,000 + 5,000 + 60 + 9

(iv) 6,00,000 + 70,000 + 6,000 + 800 + 20 + 2

(v) 7,000 + 70 + 7

Answer:

(i) 183251

(ii) 80008

(iii) 505069

(iv) 676822

(v) 7077

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