Question
Without actual division, show that the following rational numbers is a non-terminating repeating decimal:$\frac{32}{147}$
✓
Answer
$\frac{32}{147}=\frac{32}{3\times7^2}$We know either $3$ or $7$ is not a factor of $32$, so it is in its simplest form.
Moreover, $(3 \times 7^2) \neq (2^m \times 5^n)$
Hence, the given rational is non-terminating repeating decimal.
Moreover, $(3 \times 7^2) \neq (2^m \times 5^n)$
Hence, the given rational is non-terminating repeating decimal.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Show the condition using variable x and y: Two numbers differ by 3
A ball is drawn from a bag containing 3 red, 3 green and 4 white balls.
Write the correct alternative for the following question.
Rate of GST on brokerage is . . .
A. 5%
B. 12%
C. 18%
D. 28%
Rate of GST on brokerage is . . .
A. 5%
B. 12%
C. 18%
D. 28%
The area of a square field is $6050m^2$. The length of its diagonal is:
→Very-Short-Answer Questions.
A die is thrown once. Find the probability of getting:
A number other than 3.
A die is thrown once. Find the probability of getting:
A number other than 3.
If two circles of radii 5 cm and 3 cm touch externally. Find the distance between them.
Prove that:
$\frac{1}{\sec \theta-\tan \theta}=\sec \theta+\tan \theta$
→$\frac{1}{\sec \theta-\tan \theta}=\sec \theta+\tan \theta$
Two coins are tossed simultaneously. Write the sample space S.
Compare the given quadratic equation to the general form and write values of a,b, c : y2 = 7y
In figure 3.74, chord MN and chord RS intersect each other at point P.
If PR = 6, PS = 4, MN = 11 find PN.
If PR = 6, PS = 4, MN = 11 find PN.