Standard Form of Numbers


 
 
Concept Explanation
 

Standard Form of Numbers

The standard form or short form of a number is given by combining the face value of each digit at the correct place.

A three digit number consists of three digit. For example

The standard form of 200 + 30 + 4 is 234.

The place value of the digits are

For 200 the place value is 2 x 100  or 2 hundreds so 2 is placed at the hundreds position

For 30 the place value is 3 x 10  or 3 tens so 3 is placed at the tens position

For 4 the place value is 4 x 1  or 4 ones so 4 is placed at the ones position.

Hence

234  is three digit number where 2 is at hundreds place, 3 is at tens place and 4 is at ones.

Similarly the standard form  700 + 20 + 8 = 728.

In the case of a 4 digit number

A 4 digit number consists of four digits. For example

The standard form of 4000 + 200 + 50 + 9 is 4259.

The place value of the digits are

For 4000 the place value is 4 x 1000  or 4 thousands so 4 is placed at the thousands position

For 200 the place value is 2 x 100  or 2 hundreds so 2 is placed at the hundreds position

For 50 the place value is 5 x 10  or 5 tens so 5 is placed at the tens position

For 9 the place value is 9 x 1  or 9 ones so 4 is placed at the ones position.

Illustration 1: The short form of 600 + 30 + 7 in figures is ____________.

A:  600 + 37

B. 630 + 7

C 637

D. None of these

Answer: C

Solution:

The standard form of 600 + 30 + 7.

The place value of the digits are

For 400 the place value is 400 or 4 x 100  or 4 hundreds so it is placed at the hundreds position

For 30 the place value is 30 or 3 x 10  or 3 tens so it is placed at the tens position

For 3 the place value is 3 or 3 x 1  or 3 ones so it is placed at the ones position.

Hence

637  is three digit number where 6 is at hundreds place, 3 is at tens place and 7 is at ones.

Hence the correct option is C.

Illustration 2: The short form of 7000 + 900 + 80 + 7 in figures is ____________.

A:  7000 + 987

B. 7900 + 87

C 7987

D. None of these

Answer: C

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