Integers Test

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Integers Test - 35

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Weekly Quiz Competition

Question 1
1 / -0

Fill in the blank:
$$\displaystyle -84\times \quad ......= +84 $$

A
0

B
+1

C
+84

D
-1

Solution

(-84)*(-1)=(+84)
remember
(-)*(-)=+
Question 2
1 / -0

Check whether closure property is verified for integers for the given operation:$$-25+(-20)=(-45)$$

A
Integers are closed under addition

B
Integers are not closed under addition

C
This is commutative property

D
none of the these

Solution

$$-25$$ and $$-20$$ are integers and the result of their operation i.e. $$-45$$ is also an integer.
So, option A is correct.
Question 3
1 / -0

$$\displaystyle (-8)\times (-4) =$$

A
-8

B
-32

C
-4

D
+32

Solution

$$(-8)\times(-4)=8\times4=32$$
Question 4
1 / -0

The value of $$555 \displaystyle \times 193 - 555 \displaystyle \times 93$$ is

A
$$555,931$$

B
$$1,210,321$$

C
$$53,912$$

D
$$55,500$$

Solution

Solving the given expression : $$555$$ $$\displaystyle \times $$ $$193 - 555$$ $$\displaystyle \times $$ $$93$$
On taking $$555$$ as common in the expression, we get

$$= 555 \displaystyle \times (193 - 93)$$

$$= 555 \displaystyle \times 100 = 55500$$
Question 5
1 / -0

Which of the following statements is incorrect?

A
$$a (b-c) = ab - ac$$

B
$$a (b + c) = ab + ac$$

C
both $$A$$ and $$B$$

D
none of the above

Solution

Multiplication is distributive over addition and subtraction . Thus, none of the three $$A,B$$ and $$C$$ are incorrect.
Question 6
1 / -0

Fill in the blank :
$$(-6) \times (-15) - (-6) \times (-5) =$$ $$......$$

A
$$60$$

B
$$-10$$

C
$$-6$$

D
$$-60$$

Solution

$$(-6) \times (-15) - (-6) \times (-5)$$
$$=(-6) \times [(-15) - (-5)]$$ ($$\because$$ distributive property)
$$= (-6) \times (-10)$$
$$= 60$$.
Question 7
1 / -0

Simplify using commutative and distributive property:
$$(-8)\times 3 - 2\times 8 = .....$$

A
$$8$$

B
$$40$$

C
$$-8$$

D
$$-40$$

Solution

$$(-8)\times 3 - 2\times 8$$
$$=(-8)\times 3 - 8\times 2$$ ($$\because$$ commutative property)
$$(-8)\times 3 - (-8)\times 2$$
$$= (-8) \times [3 + 2]$$ ($$\because$$ distributive property)
$$= (-8) \times 5$$
$$= -40$$.
Question 8
1 / -0

Evaluate:
$$-123-(-23)$$

A
$$146$$

B
$$-146$$

C
$$100$$

D
$$-100$$

Solution

Given that
We have to find the value of given expression

$$-123-(-23)$$

we know that $$(-) \times (-) = +$$

and $$(+) \times (-) = -$$

$$=-123+23$$

$$=-100$$
So option $$D $$ is correct
Question 9
1 / -0

Evaluate:
$$-675-(25)$$

A
$$0$$

B
$$100$$

C
$$700$$

D
$$-700$$

Solution

The given expression $$-675-(25)$$ can be solved as follows:

$$(-675) + (-25)=-675-25=-1(675+25)=-700$$

Hence, $$-675-(25)=-700$$.
Question 10
1 / -0

Simplify using distributive property:
$$213\times 45 + 213 \times 55$$

A
$$100$$

B
$$213$$

C
$$21,300$$

D
$$2,130$$

Solution

The Distributive Property is easy to remember if you recall that "multiplication distributes over addition".
Formally, they write this property as $$"a(b + c) = ab + ac".$$

$$213\times 45 + 213 \times 55$$
$$= 213 \times (45 + 55)$$ ($$\because$$ distributive property)
$$= 213\times 100$$
$$= 21,300$$.

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Re-Attempt Weekly Quiz Competition

Integers Test - 35

Result

Integers Test - 35

Score

-

Rank

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SHARING IS CARING

Question 1

0

+1

+84

-1

Solution

Question 2

Integers are closed under addition

Integers are not closed under addition

This is commutative property

none of the these

Solution

Question 3

-8

-32

-4

+32

Solution

Question 4

$$555,931$$

$$1,210,321$$

$$53,912$$

$$55,500$$

Solution

Question 5

$$a (b-c) = ab - ac$$

$$a (b + c) = ab + ac$$

both $$A$$ and $$B$$

none of the above

Solution

Question 6

$$60$$

$$-10$$

$$-6$$

$$-60$$

Solution

Question 7

$$8$$

$$40$$

$$-8$$

$$-40$$

Solution

Question 8

$$146$$

$$-146$$

$$100$$

$$-100$$

Solution

Question 9

$$0$$

$$100$$

$$700$$

$$-700$$

Solution

Question 10

$$100$$

$$213$$

$$21,300$$

$$2,130$$

Solution

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