Question
Without actually performing the long division, state whether state whether the following rational numbers will have a terminating decimal expansion or a non terminating repeating decimal expansion.
$\frac{23}{8}$
$\frac{23}{8}$
✓
Answer
$8 = 2^3$
The denominator is of the form $2^m \times 5^n.$
Hence, the decimal expansion of $\frac{23}{6}$ is terminating.
The denominator is of the form $2^m \times 5^n.$
Hence, the decimal expansion of $\frac{23}{6}$ is terminating.
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
Find the arithmetic progression whose third term is $16$ and seventh term exceeds its fifth term by $12$.
→A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is:
Neither a king nor a queen.
Neither a king nor a queen.
In the following figure, $A B C D$ is a rectangle, having $A B=20 cm$ and $B C=14 cm$. Two sectors of $180^{\circ}$ have been cut off. Calculate: The length of the boundary of the shaded region .
→Find:
$8^{th}$term of the$ A.P. 117, 104, 91, 78, ......$
→$8^{th}$term of the$ A.P. 117, 104, 91, 78, ......$
Are the given numbers form an $AP$? If they form an $AP$, write the next two terms: $-2, 2, -2, 2, -2, ...$
→A solid piece of metal in the form of a cuboid of dimensions $11 \ cm \times 7 \ cm \times 7 \ cm$ is melted to form $n$ number of solid spheres of radii $\frac{7}{2} \ cm$ each. Find the value of $n$.
→The largest possible sphere is carved out of a wooden solid cube of side 7cm. Find the volume of the wood left.$(\text{use}\ \pi=\frac{22}{7})$
→If the sum of the zeros of the quadratic polynomial $f(x) = kx^2 - 3x + 5$ is 1, write the value of k.
→Fine the mean for the following distribution :
→| Classes | $5-15$ | $15-25$ | $25-35$ | $35-45$ |
| Frequency | $2$ | $4$ | $3$ | $1$ |
Prove that: $\frac{\cos A}{1-\tan A}+\frac{\sin ^2 A}{\sin A-\cos A}=\sin A +\cos A$.
→