Question

Which of the following does not apply to zeros in decimals?

• A. $3.450=3.45000$
• B. $0.1=0.01$
• C. $1.01=1.010$
• D. $31.140=31.14000$

Answer 1

The correct option is B $0.1=0.01$

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

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

$\text{Option A:}3.450=3.45\underset{–}{000}$
Underlined zeros are trailing zeros that does not affect the value of number.
Hence, $3.45=3.450=3.45000$

Ones	.	tenth	hundredth	thousandth	tenth thousandth	hundredth thousandth
3	.	4	5	0
3	.	4	5	0	0	0

$\text{Option B:}\underset{–}{0}.1\ne \underset{–}{0.0}10$
Underlined zeros are leading zeros. Removing/Adding the leading zeros of the number changes the value of the decimal number.
Hence, $0.1$ is not equal to $0.010$

Ones	.	tenths	hundredth	thousandth
0	.	1
0	.	0	1	0

$\text{Option C:}1.01=1.01\underset{–}{0}$
Underlined zeros are trailing zeros that does not affect the value of a decimal number.
Hence, $1.01$ is equal to $1.010$

Ones	.	tenths	hundredth	thousandth
1	.	0	1
1	.	0	1	0

$\text{Option A:}31.14\underset{–}{0}=31.14\underset{–}{000}$
Underlined zeroes are trailing zeros that does not affect the value of a decimal number.
Hence, $31.140$ is equal to $31.14000$

hundreds	ones	.	tenth	hundredth	thousandth	tenth thousandth	hundredth thousandth
3	1	.	1	4	0
3	1	.	1	4	0	0	0