Question

Which of the following number(s) is/are the same as 0.003040

• A. 0.0304
• B. 0.00304
• C. 0.0030400
• D. 0.000304

Answer 1

Answer: (B), (C)

0.0030400

Concept : Changing leading zeros which are at the starting of the decimal numbers will change the value of the number

Trailing zero's are the zeros that does not affect the value of the decimal number.

$\text{Option A:}0.\underset{–}{00}3040\ne 0.\underset{–}{0}304$
Underlined zeros are leading zeros. Removing/Adding the leading zeros of the number changes the value of the decimal number.
Hence, $0.003040\ne 0.0304$

ones	.	tenths	hundredth	thousandth	ten thousandth	hundred thousandth	millions
0	.	0	0	3	0	4	0
0	.	0	3	0	4

$\text{Option B:}0.00304\underset{–}{0}=0.00304$
Underlined zeros are trailing zeros. Removing/Adding the traling zeros of the number does not changes the value of the decimal number.
Hence, $0.003040=0.00304$

ones	.	tenths	hundredth	thousandth	ten thousandth	hundred thousandth	millions
0	.	0	0	3	0	4	0
0	.	0	0	3	0	4

$\text{Option C:}0.00304\underset{–}{0}=0.00304\underset{–}{00}$
Underlined zeros are trailing zeros. Removing/Adding the traling zeros of the number does not changes the value of the decimal number.
Hence, $0.003040=0.0030400$

ones	.	tenths	hundredth	thousandths	ten thousandths	hundred thousandth	millions	ten millions
0	.	0	0	3	0	4	0
0	.	0	0	3	0	4	0	0

$\text{Option D:}0.\underset{–}{00}3040\ne 0.\underset{–}{000}304$
Underlined zeros are leading zeros. Removing/Adding the leading zeros of the number changes the value of the decimal number.
Hence, $0.003040\ne 0.000304$$

ones	.	tenths	hundredth	thousandth	ten thousandth	hundred thousandth	millions
0	.	0	0	3	0	4	0
0	.	0	0	0	3	0	4