Question

In the product of two fractions 11/648 and 9/1375, how many zeros are there between the decimal point and the first non-zero digit after the decimal po
Pick ONE option
A)3
B) 4
C) 5
D) 6
Clear Selection​

Answer 1

See the photo attached for solution

Answer 2

$\bf \red{\frac{11}{648} \times \frac{9}{1375} = 0.000 \bar1}$

There are 3 zeros between the decimal point and the first non-zero digit after the decimal point.

Option A is correct.

Given:

• Multiply 11/648 and 9/1375.

To find:

• In the product of given numbers, how many zeros are there between the decimal point and the first non-zero digit after the decimal point.

• A)3
• B) 4
• C) 5
• D) 6

Solution:

Step 1:

Multiply both numbers.

$\frac{11}{648} \times \frac{9}{1375}$

or

cancel the common factors of fraction.

$= \frac{ \cancel{11}}{ \cancel{ 648} \: 72} \times \frac{ \cancel{ 9}}{\cancel{1375} \: 125}$

or

$= \frac{1}{72} \times \frac{1}{125}$

Step 2:

Write prime factors of denominators.

$\frac{1}{72} \times \frac{1}{125} = \frac{1}{ {2}^{3} \times {3}^{2} } \times \frac{1}{ {5}^{3} }$

or

$= \frac{1}{ {(2 \times 5)}^{3} \times {3}^{2} }$

or

$= \frac{1}{ {(10)}^{3} \times {3}^{2} }$

or

$= \frac{1}{9} \times {10}^{ - 3}$

or

$=0.11111... \times {10}^{ - 3}$

or

$\frac{11}{648} \times \frac{9}{1375} = 0.000111...$

or

$\bf \frac{11}{648} \times \frac{9}{1375} = 0.000 \bar1$

Thus,

There are 3 zeros between the decimal point and the first non-zero digit after the decimal point.

Option A is correct.

Remark*: This way, without performing much time on division we can find the answer.

Learn more:

1) What is the significant figures of 5.243 are

https://brainly.in/question/21410062

2) without actual division show that 171 by 800 is a terminating decimal. express it in decimal form.

https://brainly.in/question/3303413