First forms - class-VI
Description: first forms | |
Number of Questions: 55 | |
Created by: Sangita Pandit | |
Tags: decimal forms sequences and sets rational and irrational numbers real numbers decimal representation of rational numbers and operations number systems maths real number real numbers (rational and irrational numbers) |
Convert the following fraction into simple decimal recurring form.
Find whether it is a terminating or a non-terminating decimal.
Express $\displaystyle \frac{4}{9}$ as recurring decimal
Find whether it is a terminating or a non-terminating decimal.
Find whether it is a terminating or a non-terminating decimal.
The rational number which can be expressed as a terminating decimal is
Without actually performing the long division, state whether the following rational number will have a terminating decimal expansion or non -terminating decimal expansion
Which of the following is terminating decimal?
$\cfrac{23}{90}, \cfrac{111}{148}, \cfrac{29}{145}, \cfrac{1}{6}$
Decimal form of $\displaystyle \frac{3888} {1000} $
What is the 25th digit to the right of the decimal point in the decimal form of $\displaystyle \frac { 6 }{ 11 } $?
Without actually performing the long division, state whether the following rational number will have a terminating decimal expansion or non -terminating decimal expansion
If $\displaystyle d=\frac { 1 }{ { 2 }^{ 3 }\times { 5 }^{ 7 } } $ is expressed as a terminating decimal, how many non zero digits will d have?
$0.\overline{585}$ is equal to
A terminating decimal has a ............ number of terms after the decimal point.
As the decimal of $\dfrac {1}{3}$ repeats$,$ $\dfrac {1}{3}$ is a $.........$ decimal.
If the quotient is terminating decimal, the division is complete only when ...............
A ............. decimal representation can be repeating or non-repeating decimal
Which option will have a terminating decimal expansion?
A number having non-terminating and recurring decimal expansion is.
$1.23 \bar{48}$ is:
Which of the following numbers has the terminating decimal representation?
Show the correct sequence of the given four option in ascending order
(1) Prime minister (2) Chief Minister (3) Mayor (4) President (5) Sarpanch
$3.24636363....$ is _____________.
$\dfrac{p}{q}$ form of the number $0.\overline{3}$ is :
$\dfrac{35}{50}$ has a non-terminating decimal expansion.
The decimal representation of $\dfrac { 93 }{ 1500 }$ will be
The fraction, $\dfrac{1}{3}$
Let $x=\dfrac { p }{ q } $ be a rational number, such that the prime factorization of $q$ is of the form $2^n 5^m$, where $n, m$ are non-negative integers. Then $x$ has a decimal expansion which terminates.
Without actually performing the long division, state whether the following rational number will have terminating decimal expansion or a non-terminating repeating decimal expansion. Also, find the numbers of places of decimals after which the decimal expansion terminates.
$\dfrac { 13 }{ 3125 } $
$9.1 \overline { 7 }$ is
$\dfrac { 317 } { 3125 }$ represents ______.
If $x=0.123\bar{4}, y=0.12\bar{34}$ and $z=0.1\bar{234}$, then which of the following is correct?
Without doing any actual division, find which of the following rational numbers have terminating decimal representation :
(i) $\displaystyle \dfrac{7}{16}$ (ii) $\displaystyle \dfrac{23}{125}$
(iii) $\displaystyle \dfrac{9}{14}$ (iv) $\displaystyle \dfrac{32}{45}$
(v) $\displaystyle \dfrac{43}{50}$ (vi) $\displaystyle \dfrac{17}{40}$
(vii) $\displaystyle \dfrac{61}{75}$ (viii) $\displaystyle \dfrac{123}{250}$
A rational number in its decimal expansion is $327.7081.$ What can you say about the prime factors of $q$, when this number is expressed in the form $\cfrac {p}{q}$?
Consider the following statements :
1. $\displaystyle \frac{1}{22}$ can not be written as terminating decimal
2. $\displaystyle \frac{2}{15}$ can be written as a terminating decimal
Which of the statements given above is/are correct ?
Which one of the following is not a correct statement ?
The decimal form of $5\dfrac{3}{8}$ is
Arrange the following decimal numbers in ascending order.
$5.5, 0.55, 0.055, 0.005$
............... numbers have terminating and non- terminating repeating decimals.
If the denominator of a fraction has factors other then $2$ and $5$, the decimal expression ..............
If the denominator of a fraction has only factors of $2$ and factors of $5$, the decimal expression .............
$\dfrac {1}{2} = 0.5$
It is a terminating decimal because the denominator has a factor as ...........
When the division process does not end and the remainder is not equal to zero; then such decimal is known as ............... decimal
Which of the following fractions will terminate when expressed as a decimal? (Choose all that apply.)
Identify a non-terminating repeating decimal.
A rational number can be expressed as a terminating decimal if the denominator has factors _________.
Which one of the following has a terminating decimal expansion?
Which of the following numbers has the terminal decimal representation?
A real number $\displaystyle \frac{2^2 \times 3^2 \times 7^2}{2^5 \times 5^3 \times 3^2 \times 7}$ will have _________.
State the following statement is True or False
Given that $\dfrac {1}{7} = 0.\overline {142857}$, which is a repeating decimal having six different digits. If $x$ is the sum of such first three positive integers $n$ such that $\dfrac {1}{n} = 0.\overline {abcdef}$, where $a, b, c, d, e$ and $f$ are different digits, then the value of $x$ is
If $x =\dfrac{p}{q}$ be a rational number such that the prime factorization of $q$ is not of the form $2^n 5^m$, where $n, m$ are non-negative integers. Then $x$ has a decimal expansion which is terminating.
The numbers 7.478478.... and 1.101001000100001.....are