Question
Examine whether $\frac{17}{30}$ is a terminating decimal.
✓
Answer
A number is a terminating decimal, if the denominator is of the form $2^m \times 5^n$, where m and n are non-negative integers.
$\frac{17}{30}=\frac{17}{2\times3\times5}$
Clearly, $\frac{17}{30}$ is a not a terminating decimal, since its denominator is not of the form $2^m \times 5^n$
It has a factor of 3 present too.
$\frac{17}{30}=\frac{17}{2\times3\times5}$
Clearly, $\frac{17}{30}$ is a not a terminating decimal, since its denominator is not of the form $2^m \times 5^n$
It has a factor of 3 present too.
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
A right circular cylinder having diameter $12\ cm$ and height $15\ cm$ is full ice-cream. The ice-cream is to be filled in cones of height $12\ cm$ and diameter 6cm having a hemispherical shape on the top. Find the number of such cones which can be filled with ice-cream.
→In a triangle $PQR, N$ is a point on PR such that $\text{QN}\perp\text{PR}$ . If $PN \times NR = QN^2,$ prove that $\angle\text{PQR}=90^\circ.$
→Find the sum of terms of the series $\left(4-\frac{1}{n}\right)+\left(4-\frac{2}{n}\right)+\left(4-\frac{3}{n}\right)+\ldots \ldots$
→D and E are the points on the sides AB and AC respectively of a $\triangle\text{ABC}$ such that:
AD = 8cm, DB = 12cm, AE = 6cm and CE = 9cm, Prove that $\text{BC}=\frac{5}{2}$ DE.
→AD = 8cm, DB = 12cm, AE = 6cm and CE = 9cm, Prove that $\text{BC}=\frac{5}{2}$ DE.
A student noted the number of cars passing through a spot on a road for $100$ periods each of $3$ minutes and summarised it in the table given below. Find the mode of the data.
→|
Number of cars
|
$0-10$
|
$10-20$
|
$20-30$
|
$30-40$
|
$40-50$
|
$50-60$
|
$60-70$
|
$70--80$
|
|
Frequency
|
$7$
|
$14$
|
$13$
|
$12$
|
$20$
|
$11$
|
$15$
|
$8$
|
In figure, PQ || BC and AP : PB = 1 : 2. Find: $\frac{\text{area}(\triangle\text{APQ})}{\text{area}(\triangle\text{ABC})}$
→Two right triangles $\text{ABC}$ and $\text{DBC}$ are drawn on the same hypotenuse $B C$ and on the same side of $B C$. If $A C$ and $B D$ intersect at $P$, prove that : $A P \times P C=B P \times D P .$
→If $\sin\text{A}=\frac{9}{41},$ computer cos A and tan A.
→A cylindrical vessel having diameter equal to its height is full of water which is poured into two identical cylindrical vessels with diameter 42cm and height 21cm which are filled completely. Find the diameter of the cylindrical vessel.
For the following arithmetic progressions write the first term a and the common difference d:
$-5, -1, 3, 7, ....$
→$-5, -1, 3, 7, ....$