Question

Which of the following is incorrect.

• A. $\frac{100}{10}=10.0$
• B. $\frac{1000}{10}=100.0$
• C. $\frac{765}{10}=76.5$
• D. $\frac{897}{10}=8.97$

Answer 1

The correct option is D $\frac{897}{10}=8.97$

Option A : To convert $\frac{100}{10}$ into a decimal, we have to divide 100 by 10

$\text{To divide}:\frac{100}{10}$
$\Rightarrow$ Write the numerator as 100.0

$\Rightarrow$ Denominator have one zero (10), hence shift the decimal point one place to the left in 100.0 (numerator)


$\Rightarrow \frac{100}{10}=\frac{100.0}{10}=10.0$
Option A is correct.

Option B: To convert $\frac{1000}{10}$ into a decimal, we have to divide 1000 by 10

$\text{To divide}:\frac{1000}{10}$
$\Rightarrow$ Write the numerator as 1000.0

$\Rightarrow$ Denominator have one zero (10), hence shift the decimal point one place to the left in 1000.0 (numerator)


$\Rightarrow \frac{1000}{10}=\frac{1000.0}{10}=100.0$
Opation B is correct.

Option C: To convert $\frac{765}{10}$ into a decimal, we have to divide 765 by 10

$\text{To divide}:\frac{765}{10}$
$\Rightarrow$ Write the numerator as 765.0

$\Rightarrow$ Denominator have one zero (10), hence shift the decimal point one place to the left in 765.0 (numerator)


$\Rightarrow =\frac{765}{10}=\frac{765.0}{10}=76.5$
Opation C is correct.

Option D: To convert $\frac{897}{10}$ into a decimal, we have to divide 99 by 10

$\text{To divide}:\frac{897}{10}$
$\Rightarrow$ Write the numerator as 897.0

$\Rightarrow$ Denominator have one zero (10), hence shift the decimal point one place to the left in 897.0 (numerator)


$\Rightarrow \frac{897}{10}=\frac{897.0}{10}=89.7\text{and not 8.97}$
Option D is incorrect.