Question

Match the equivalent pairs.

• A. $021$
• B. $0201$
• C. $0.040$
• D. $0.40$

Answer 1

$\Rightarrow$ Both $21$ and $021$ are the same thing since, $0$ before $21$ does not change the value.

$\Rightarrow$ Both $201$ and $0201$ are the same thing since $0$ before $201$ does not change the value.

$\Rightarrow$ Both $0.04$ and $0.040$ are the same thing since $0.04$ is the same as $0.040$.

O	.	t	h	th
0	.	0	4	0

From place value chart,
O $=0$
Place value $=0\times 1=0$
t $=0$
Place value $=0\times \frac{4}{10}=0$
h $=4$
Place value $=4\times \frac{1}{100}=0.04$
th $=0$

Place value $=0\times \frac{1}{1000}=0$

So, the given decimal is $0+0+0.04+0=0.04$

Hence, both $0.04$ and $0.040$ are equivalent.


$\Rightarrow$ Both $0.4$ and $0.40$ are the same thing since $0.4$ is the same as $0.40$.

Let's understand this with place value chat.
Place value chart of $0.40$

O	.	t	h
0	.	4	0

From place value chart,
O $=0$
Place value $=0\times 1=0$
t $=4$
Place value $=4\times \frac{4}{10}=0.4$
h $=0$

Place value $=0\times \frac{1}{100}=0$

So, the given decimal is $0+0.4+0=0.4$

Hence, both $0.4$ and $0.40$ are equivalent.