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CBSE Questions for Class 6 Maths Integers Quiz 7 - MCQExams.com
CBSE
Class 6 Maths
Integers
Quiz 7
The additive inverse of a negative integer
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is always negative
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is always positive
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is the same integer
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zero
Explanation
Two integers whose sum is zero are called additive inverse of each other.
Let $$-a$$ be the negative integer.
Thus its additive inverse becomes $$-(-a) = a$$ [as $$-a + a = 0$$]
Hence the additive inverse of a negative integer is always positive.
$$\therefore$$ $$\textbf{Option B is correct}$$.
The successor of the integer $$1$$ is $$0$$.
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True
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False
Explanation
Successor is the number that succeeds or comes after the given number and is found by adding $$1$$ to the given number.
Successor of integer $$1 = 1 + 1$$
$$= 2$$
$$\therefore$$ $$\textbf{The given statement is False}$$.
The difference between an integer and its additive inverse is always even.
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True
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False
Explanation
Let $$x$$ be the integer.
Thus, $$-x$$ is the additive inverse of integer $$x$$
Now, Difference of integers and its inverse $$= x - (-x)$$
$$= 2x$$.
Since, $$2x$$ is always an even integer.
$$\therefore$$ $$\textbf{The given statement is True}$$
The sum of an integer and its additive inverse is always zero.
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True
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False
Explanation
Let $$x$$ be the integer.
Thus, $$-x$$ is the additive inverse of integer.
Now, Sum of integer and its additive inverse $$= x + (-x)$$
$$= 0$$
$$\therefore$$ $$\textbf{The given statement is True}$$
$$-2$$ is to the left of $$-5$$ on the number line.
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True
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False
Explanation
On marking $$-5$$ and $$-2$$ on the number line $$-2$$ is right of $$-5$$.
$$\therefore$$ $$\textbf{The given statement is False}$$
Which of the following is false?
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$$\frac{-4}{-5}+0=\frac{4}{5}$$
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$$\frac{-5}{6}+\frac{-7}{12}=\frac{-7}{12}+\frac{-5}{6}$$
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0
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$$\frac{8}{9}-\frac{7}{11}=\frac{7}{11}-\frac{8}{9}$$
On the number line, an integer on the right of a given integer is always larger than the integer.
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True
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False
Explanation
$$\bullet$$ Integers which lie right to zero on the number line are positive integers.
$$\bullet$$
Integers which lie left to zero on the number line are negative integers.
On the number line, integers are in ascending order i.e., ….. $$-3 < -2 < -1 < 0 < 1 < 2 < 3$$ ….
Hence, on the number line, an integer on the right of a given integer is
always larger than the integer.
$$\therefore$$ $$\textbf{The given statement is True}$$
$$6$$ and $$-6$$ are at the same distance from $$0$$ on the number line.
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True
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False
Explanation
Marking $$6$$ and $$-6$$ on the number line.
Distance from $$0$$ to $$6 = 6 - 0$$
$$= 6$$ units
Distance from $$0$$ to $$-6 = 0 - ( -6)$$
$$ = 6$$ units
Thus, $$6$$ and $$-6$$ are at the same distance from $$0$$.
$$\therefore$$ $$\textbf{The given statement is True}$$
Number of even numbers between $$58$$ and $$80$$ is
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$$10$$
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$$11$$
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$$12$$
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$$13$$
Explanation
Option A is right
If a number side to be an even number is must be divisible by $$2$$. Therefore the even number between $$58$$ and $$80$$ are
$$60, 62, 64, 66, 68, 70, 72, 74, 76, 78$$.
So, there are $$10$$ even numbers between $$58$$ and $$80$$
When the integers 10, 0, 5, 5, 7 are arranged in descending or ascending order, them find out which of the following integers always remains in the middle of
the arrangement.
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0
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5
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-7
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-5
Explanation
The given integers are 10, 0, 5,-5,-7
Descending order: 10, 5, 0,-5,-7
Ascending order: -7,-5, 0, 5, 10Therefore, the integer, which always remains in the middle of the arrangement, is zero (0).
On the following number line value ‘zero’ is shown by the point
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X
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Y
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Z
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W
Explanation
Option (c) is correct; in the figure given below, each unit has a value of 5.
Which of the following statements is not true?
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When two positive integers are added, we always get a positive integer.
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When two negative integers are added, we always get a negative integer.
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When a positive integer and a negative integer is added we always get a negative integer.
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None of these
Explanation
Option (c) is correct; if we add a positive and a negative integer, may be zero or positive integers obtained, therefore, the statement (c) is false.
Encircle the odd one of the following
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$$(-\mathbf{4},\mathbf{1})$$
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$$(-\mathbf{5},+\mathbf{2})$$
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$$(-\mathbf{4},+\mathbf{1})$$
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$$(-9,+7)$$
Explanation
Option (d) is correct.
(a) $$-4+1=-3$$
(b) $$-5+2=-3$$
(c) $$-4+1=-3$$
(d) $$-9+7=-2$$
By the above calculation, we can see that option d gives -2 while other options give -3. Thus, option d
is different from all others.
If $$\otimes, O,\oslash$$ and represent some integers on the number line, then descending order of these numbers is
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$$\cdot, \otimes, \oslash, O$$
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$$\otimes, \cdot, \oslash, O$$
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$$O, \oslash, 8, \cdot $$
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$$O, \cdot, \otimes, \oslash$$
Explanation
Option (c) $$O, \oslash, 8, \cdot $$
is correct; the symbol has a larger value that will be written first, hence, is in descending order.
The value of $$5 \div(-1)$$ does not lie between
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0 and 10
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0 and 10
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4 and 15
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6 and 6
Explanation
Option (b) is correct. Since, $$\dfrac{5}{(-1)} = -5 $$ . Hence,-
5 does not lie between 0 and 10.
Which of the following is not the additive inverse of
a?
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$$-(-a)$$
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$$a \times(-1)$$
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$$-a$$
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$$a \div(-1)$$
Explanation
Option (a) is correct.The additive inverse of a is a. Hence, $$-(-a)$$ is not correct.
By observing the above number line, state which of the
following statements is true.
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B is 2
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A is 4
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B is –13
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B is $$- 4$$
Explanation
From above number line we cans see that $$A$$ is $$7$$ marks right of $$0$$ and $$B$$ is $$4$$ marks to the left of $$0$$
So, $$A=7$$ and $$B=-4$$
Hence, Option $$(D)$$ is correct
The successor of an integer is an integer.
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True
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False
Explanation
Successor of a number is obtained by adding $$1$$ to the number.
Let, the integer is $$x$$
So, its successor is $$(x+1)$$, which is nothing but integer which is $$1$$ bigger than original integer.
So, The successor of an integer is a integer.
State whether the following statement is true of false? Justify your answer.
There are infinitely many integers between any two integers.
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True
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False
Explanation
The given statement is false.
Because, consider two integers $$3$$ and $$4$$. There is no integers between $$3$$ and $$4$$. That means given statement does not hold true.
State whether the statements are true (T) or false (F).
The negative of $$0$$ does not exist.
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True
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False
State true or false:
The opposite of $$-17$$ is $$17$$.
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True
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False
Explanation
The opposite of $$-17$$ is $$-(-17)=17$$.
The given statement is true.
State true/false:
$$-100$$ is to the right of $$-50$$ on a number line
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True
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False
Explanation
As the right of a number on the number line signifies greater integer than that number.
So, the statement is false as the greater negative integer between the two is $$-50$$
So, $$-100$$ can't be to the right of $$-50.$$
Sum of two negative integers is
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negative
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positive
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zero
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infinite
Explanation
Negative
$$\because$$
$$-1+(-2)=-1-2=-3$$
Every positive integer is ______ than every negative integer.
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Greater
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Smaller
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Neither greater nor smaller
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None of these
The integer which is $$2$$ more than $$(-7 +(-2))$$ is ________.
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$$-7$$
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$$-9$$
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$$11$$
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$$-3$$
In a list of $$37$$ consecutive integers, the median is $$70$$. What is the largest integer in the list?
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$$96$$
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$$97$$
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$$98$$
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$$99$$
Every positive integer is greater than zero.
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True
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False
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