Integers Test

Result

Integers Test - 30

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Which integer is the additive inverse of itself?

A
$$-1$$

B
$$1$$

C
$$0$$

D
$$2$$

Solution

Additive inverse of number is that when added to a number it results in $$0$$
Additive inverse of itself= $$a+0=0$$
Therefore $$a=0$$
Hence the correct answer is option C.
Question 2
1 / -0

The sign of the product of two unlike integers is __________.

A
Positive

B
Negative

C
Positive or negative

D
Cannot be determined

Solution

The sign of the product of two unlike integers i.e.positive integer and negative integer is always negative.
Hence the correct answer is option B.
Question 3
1 / -0

Fill in the blanks.
The ------ consists of natural numbers, zero and negative of natural numbers. Zero is called the ------ . ----- is called the multiplicative identity.

A
Integers, additive identity, 1

B
Integers, additive inverse, 1

C
Whole numbers, additive identity, 0

D
Rational numbers, additive inverse, 1

Solution

Additive identity is a number which when added to a number gives the number back.
For eg, let additive identity of $$7$$ be $$x$$, then,
$$7+x=7$$ i.e. $$x=0$$
Zero is thus called the additive identity.

Multiplicative identity is a number which when multiplied to a number gives the number back.
For eg, let multiplicative identity of $$4$$ be $$y$$
$$4\times y = 4$$ i.e. $$y = 1$$
$$1$$ is thus called the multiplicative identity.

Set of positive and negative natural numbers including zero is a set of Integers.
Question 4
1 / -0

$$(38 + 83) + 64 = 38 + (83 + 64)$$ is an example of _______ property.

A
Commutative

B
Associative

C
Closure

D
Distributive

Solution

Given, $$(38 + 83) + 64 = 38 + (83 + 64)$$
The associative property states that you can add or multiply numbers regardless of how the numbers are grouped.

This is an example of Associative Property of Addition.

Hence, $$Op-B$$ is correct.
Question 5
1 / -0

Which of the following statement is CORRECT?

A
The product of a positive and a negative integer is always negative.

B
The addition of a negative and a positive integer is always zero.

C
For all non-zero integers a and b, a X b is always greater than either a or b.

D
None of these

Solution

In option (A) $$-x\times x=-x^{2}$$ which is always negative. option is correct.
In option (B) $$ -x+y$$ not equals to $$0$$ it zero only when $$x=y$$ option is incorrect.
In option (C) let $$a=-3$$ and $$b=4$$ then $$a\times b=-3\times 4=-12$$ which is less than both a and b. hence this option is also incorrect.
hence only option $$A$$ is correct.
Question 6
1 / -0

Using distributive property, $$258\times 1008=?$$

A
$$258+1000+8$$

B
$$258\times 1000+258\times 8$$

C
$$258\times 1000+8$$

D
$$1000+8\times 258$$

Solution

$$258\times 1008$$
$$=258(1000+8)$$
$$=258\times 1000+258\times 8$$ .... Using distributive property
Hence, B is correct.
Question 7
1 / -0

Which of the following statements is true?

A
The product of a positive and a negative integer is negative

B
The product of a negative and a positive integer may be zero

C
For all non-zero integers $$a$$ and $$b$$, $$a\times b$$ is always greater than either $$a$$ or $$b$$

D
None of these

Solution

$$(A)$$ The product of a positive and a negative integer is negative $$=$$ True

$$(B)$$ The product of a negative and a positive integer may be zero $$=$$ False
Because product can be zero only if both or one of the numbers is zero.

$$(C)$$ For all non-zero integers $$a$$ and $$b$$, $$a\times b$$ is always greater than either $$a$$ or $$b$$ $$=$$ False
Because if one of the numbers is negative then the product will be lesser than both the numbers.

Hence option $$(A)$$ is correct answer.
Question 8
1 / -0

Which list of integers is in order from the least to the greatest?

A
$$-42, -39, -4, 40, 41$$

B
$$-42, 41, 40, -39, -4$$

C
$$-4, -39, 40, 41, -42$$

D
$$41, 40, -4, -39, -42$$

Solution

The increasing order of given numbers is:
$$\because -42 < -39 < -4 <40 < 41$$.
Question 9
1 / -0

If p: when a positive integer and a negative integer are added we always get a negative integer and q: when two negative integers are added, we get a positive integer, then.

A
Both p and q are true

B
p is true and q is false

C
p is false and q is true

D
Both p and q are false

Solution

When we add positive integer and negative integer then it is not necessary that result would be negative integer. It can be positive integer also
For eg- $$(+8)+(-6)=2$$. Hence the p statement is false.
When we add two negative integers, we will always get negative integer.
For eg- $$(-7)+(-9)=-16$$. Hence q statement is also false
Question 10
1 / -0

Addition of one negative and one positive integer is

A
always positive

B
always negative

C
same as the sign of larger number

D
same as the sign of smaller number

Solution

If the magnitude of positive number is greater than the negative number then there will be some positive remainder after adding the negative number.Hence,it will be the sign of a large number.

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Integers Test - 30

Result

Integers Test - 30

Score

-

Rank

-

SHARING IS CARING

Question 1

$$-1$$

$$1$$

$$0$$

$$2$$

Solution

Question 2

Positive

Negative

Positive or negative

Cannot be determined

Solution

Question 3

Integers, additive identity, 1

Integers, additive inverse, 1

Whole numbers, additive identity, 0

Rational numbers, additive inverse, 1

Solution

Question 4

Commutative

Associative

Closure

Distributive

Solution

Question 5

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

The addition of a negative and a positive integer is always zero.

For all non-zero integers a and b, a X b is always greater than either a or b.

None of these

Solution

Question 6

$$258+1000+8$$

$$258\times 1000+258\times 8$$

$$258\times 1000+8$$

$$1000+8\times 258$$

Solution

Question 7

The product of a positive and a negative integer is negative

The product of a negative and a positive integer may be zero

For all non-zero integers $$a$$ and $$b$$, $$a\times b$$ is always greater than either $$a$$ or $$b$$

None of these

Solution

Question 8

$$-42, -39, -4, 40, 41$$

$$-42, 41, 40, -39, -4$$

$$-4, -39, 40, 41, -42$$

$$41, 40, -4, -39, -42$$

Solution

Question 9

Both p and q are true

p is true and q is false

p is false and q is true

Both p and q are false

Solution

Question 10

always positive

always negative

same as the sign of larger number

same as the sign of smaller number

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.