MCQ Questions for Class 6 Maths Integers Quiz 5

A driver is

$20$ m below sea level. If he goes further down by

$10$ m, then find his new position.

0%
$10$ m
0%
$-10$ m
0%
$30$ m
0%
$-30$ m

Explanation

Let the ground level indicated by the brown line be 0. Then all distances travelled in the upward direction will be +ve and all the distances travelled in the downward direction will be _ve.

From the figure, it is clear that the new position of the driver is

$(-20)-10 = -30 \Longrightarrow$

$30m$ below sea level.

Subtract

$-134$ from

$-38$

0%
$-96$
0%
$96$
0%
$-183$
0%
$183$

Explanation

As per the question :

$-38-(-134)=-38+134=96$

In each of the following pairs, which pair of the integer is placed correctly according to the number line.

0%
$-13,$ $-26$
0%
$-9,$ $18$
0%
$-29,$ $-13$
0%
$10, -100$

Explanation

On representing on the number line

$18$ is on the right of

$-9$

$-13$ is on the right of

$-29$

$-100$ is on the left of

$10$

$-26$ is on the left of

$-13$

Which of the following is not an integer?

0%
$0$
0%
$-1$
0%
$-1.5$
0%
$1$

Explanation

An integer is a whole number which can be positive negative or zero. the set of integers is denoted by

$Z$ and defined by

$Z=\{0,\pm 1,\pm 2,\pm 3\cdots\}$

So options

$A,B,D$ all are integers.

And option C which is 1.5 is not an integer.

Hence option

$\textbf C$ is correct answer.

Zero is larger than every negative integer.

0%
True
0%
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.

Thus, zero is always larger than every negative integer.

$\therefore$

$\textbf{The given statement is True}$

State true or false:

Every negative integer is less than every natural number.

0%
True
0%
False

Explanation

From the definition of negative integer we've, a number (integer) is said to be negative if

$x<0$ .

From the definition of positive integer we've, a number (integer) is said to be positive if

$x>0$ .

So it is clear that positive integers (natural numbers) are greater than negative integers.

So the given statement is true.

State true or false:

0 is the smallest positive integer.

0%
True
0%
False

Explanation

False,
Zero is neither positive nor negative integer. Smallest positive integer is

$1.$

State true or false:

A positive integer is greater than its opposite.

0%
True
0%
False

State whether true or false

$-13 > 10$

0%
True
0%
False

Explanation

False: A negative number is always less than a positive number

correct equation:

$-13 < 10$

State whether true or false:

The sum of a negative integer and a positive integer is always a negative integer.

0%
True
0%
False

Explanation

The given statement is false.

As, take

$-2$ and

$3$ , these are one negative and one positive integer.

Now their sum is

$-2+3$

$=1$ , which is a positive integer.

State true or false:

The successor of

$-1$ is

$1.$

0%
True
0%
False

Explanation

Successor of

$-1$ is

$= -1 + 1$

$= 1- 1$

$=0$

$0$ is successor of

$-1$

So statement is false.

State whether true or false

$-4 < 2$

0%
True
0%
False

Explanation

We know

$-4<2$ .

So the given statement is true.

State whether true or false
The sum of two negative integers is a positive integer.

0%
True
0%
False

Explanation

Let us consider two integers

$-3$ and

$-2$

Sum of

$-3$ and

$-2 = - 3 + (-2)$

$= -5$

$=$ Negative integer.

Thus, we can say that the sum of two negative integers is not a positive integer.

$\therefore$

$\textbf{The given statement is False}$

$(- 35) + (-32)$ is equal to

0%
$67$
0%
$-67$
0%
$-3$
0%
$3$

Explanation

Now,

$(-35)+(-32)$

$=-35-32$

$=-67$ .

State true or false:
Additive inverse of a negative integer is positive.

0%
True
0%
False

Explanation

The most general form of a negative integer is

$-n$ for

$n$ being a natural number.

Now the additive inverse of the number is

$-(-n)$ i.e.

$n$ . [ Since

$-n+(-(-n))=0$ ]

So the additive inverse of a negative integer is a positive integer.

So the given statement is true.

$Eg :$ Additive inverse of negative integer

$-3$ is

$3$ as

$[-3+3=0]$

$-12$ and

$+12$ represent on the number line the same integer.

0%
True
0%
False

$(-29)+5$ is equal to

0%
$24$
0%
$34$
0%
$-34$
0%
$-24$

Explanation

Let

$(-29)+5=x$ we can see that

$29$ has negative sign and

$5$ has positive sign.

$+$ and

$-$ will be

$-$

$-29+5=-24$ because

$24$ will have sign of

$29$ .

Option (D)

State whether the following statement is true or false:
Additive inverse of a positive integer is negative.

0%
True
0%
False

Explanation

The most general form of a positive integer is

$n$ for

$n$ being a natural number.

Now the additive inverse of the number

$n$ is

$-(n)$ i.e.

$-n$ . [ Since

$n+(-n)=0$ ]

So the additive inverse of a positive integer is a negative integer.

So the given statement is

$True$ .

Ex:-Additive inverse of positive integer

$2$ is

$-2$ as

$[2+(-2)=0]$

Which of the following statement is true?

0%
$- 7 > - 5$
0%
$- 7 < - 5$
0%
$(- 7) + (- 5) > 0$
0%
$(- 7)- (- 5) > 0$

Explanation

We know that,

$7>5$

then

$-7<-5$ .

Again,

$(-7)+(-5)=-7-5=-12<0$ .

And,

$(-7)-(-5)$

$=-7+5=-2<0$ .

So option (B) is correct.

The successor of

$- 22$ is

0%
$-23$
0%
$-21$
0%
$23$
0%
$21$

Explanation

The successor of the number

$-22$ is the number just after it.

And it is

$=-22+1=-21$ .

Answer the following using number line.

$6$ more than

$- 7$ is

0%
$1$
0%
$-1$
0%
$13$
0%
$-13$

Explanation

$-7+6=-1$

1501502_1658848_ans_9ef23eb90d9e4191b1813eeee675aab0.jpeg

On subtracting

$- 7$ from

$-14$ , we get.

0%
$-21$
0%
$-7$
0%
$-14$
0%
$21$

Explanation

According to question,

$-14 -(-7)$

$=-14 + 7$

$=- 7$

State whether true or false
Additive inverse of a negative integer is negative.

0%
True
0%
False

Explanation

The most general form of a negative integer is

$-n$ for

$n$ being a natural number.

Now the additive inverse of the number is

$-(-n)$ i.e.

$n$ . [ Since

$-n+(-(-n))=0$ ]

So the additive inverse of a negative integer is a positive integer.

So the given statement is false.

What should be added to

$18$ to get

$- 34$ ?

0%
$52$
0%
$-52$
0%
$-16$
0%
$16$

Explanation

Let the number be

$x$ .

Then according to the problem we get,

$x+18=-34$

$x=-34-18$

$x=-52$ .

The successor of

$- 79$ is

0%
$-80$
0%
$-78$
0%
$80$
0%
$78$

Explanation

The successor of

$-79$ is the integer just after it.

So the successor of the integer

$-79$ is

$-79+1=-78$ .

The predecessor of

$- 99$ is

0%
$-98$
0%
$-100$
0%
$98$
0%
$100$

Explanation

The predecessor of

$-99$ is the integer just before the given number.

So the predecessor of

$-99$ is

$-99-1=-100$ .

The additive inverse of

$17$ is

0%
$-17$
0%
$17$
0%
$\dfrac {1}{17}$
0%
$-\dfrac {1}{17}$

Explanation

The additive inverse of

$17$ is

$-17$ since

$17+(-17)=(-17)+17=0$ . Where

$0$ is the additive identity.

$4$ more than

$-5$ is

0%
$9$
0%
$-9$
0%
$-1$
0%
$1$

Explanation

$4$ more than

$-5$ indicates

$-5 + 4 = -1$

$4$ more than

$-5$ is

$-1$

Option

$(C)$ is the correct answer

The successor of

$-18$ is

0%
$-19$
0%
$17$
0%
$-17$
0%
$19$

Explanation

Since in succession we move from left to the right on the number line.

And ,

$-17$ lies on right side of

$-18$

Hence,

$-17$ is the successor of

$-18$

Option

$(C)$ is the correct answer

$49 + (-27) =?$

0%
$-73$
0%
$73$
0%
$22$
0%
None of these

Explanation

$(49) + (-27)$

$= 49 – 27$

$=22$

Option

$(C)$ is the correct answer

CBSE Questions for Class 6 Maths Integers Quiz 5 - MCQExams.com

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CBSE Questions for Class 6 Maths Integers Quiz 5 - MCQExams.com

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