Integers Test

Result

Integers Test - 26

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Weekly Quiz Competition

Question 1
1 / -0

Fill in the blank:
$$6\times [...... - (-7)] = 6\times 8 - 6\times (-7)$$

A
$$6$$

B
$$8$$

C
$$(-7)$$

D
$$(-8)$$

Solution

$$(a\times b) - (a\times c) = a (b - c)$$ is the distributive property over subtraction for integers.
$$\therefore 6\times 8 - 6\times (-7) = 6\times [8 - (-7)]$$
Question 2
1 / -0

Which of the following is correct?

A
If $$-4 <3$$, then $$4 < -3$$

B
If $$-2 <5$$, then $$2>5$$

C
If $$0 > -7$$, then $$0 < 7$$

D
If $$8 > 1$$, then $$-8 > -1$$

Solution

Given (A) $$-4 < 3$$ is correct but $$4 < -3$$ is wrong because $$4$$ is always greater than $$-3$$.
(B) If $$-2 < 5,$$ then it is correct but $$2>$$ 5 is wrong because $$5$$ is always greater than $$2$$
(C) If $$0 >-7$$ is correct then $$0 < 7$$ is also correct as multiplying by minus sign changes the operator from greater than to smaller than and vice versa.
(D) If $$8 > 1$$ is write then $$-8 > -1$$ is wrong multiplying by minus sign changes the operator from greater than to smaller than and vice versa.
Hence, option (C) is correct.
Question 3
1 / -0

Evaluate:
$$-67-(-76)$$

A
$$-143$$

B
$$143$$

C
$$-9$$

D
$$9$$

Solution

Given that
We have to find the value of given expression

$$-67-(-76)$$

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

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

$$=-67+76$$

$$=9$$
So option $$D $$ is correct
Question 4
1 / -0

Fill in the blank :
$$6\times [-5 - $$ $$.....] = 6\times (-5) - 6\times (-17)$$

A
$$6$$

B
$$(-5)$$

C
$$(-17)$$

D
$$17$$

Solution

$$a\times (b - c) = (a\times b) - (a\times c)$$ is the distributive property over subtraction for integers.
$$\therefore$$ Conversely,
$$6\times (-5) - 6\times (-17) = 6\times [(-5) - (-17)]$$.
Question 5
1 / -0

Obtain the following:
$$-101-(-200)$$

A
$$99$$

B
$$-99$$

C
$$-101$$

D
$$101$$

Solution

Given that
We have to find the value of given expression

$$-101-(-200)$$

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

$$-101+200$$

$$=99$$
So option $$C$$ is correct
Question 6
1 / -0

Evaluate:
$$133-(-23)$$

A
$$156$$

B
$$136$$

C
$$-156$$

D
$$-136$$

Solution

Given that
We have to find the value of given expression
$$133-(-23)$$
we know that $$(-) \times (-) = +$$
and $$(+) \times (-) = -$$
$$=133+23$$
$$=156$$
So option $$A $$ is correct
Question 7
1 / -0

Evaluate:
$$144-(-44)$$

A
$$-188$$

B
$$100$$

C
$$-100$$

D
$$188$$

Solution

Given that
We have to find the value of given expression
$$144-(-44)$$
we know that $$(-) \times (-) = +$$
and $$(+) \times (-) = -$$
$$=144+44$$
$$ = 188$$
So option $$D $$ is correct
Question 8
1 / -0

Calculate:
$$-123-45=?$$

A
$$168$$

B
$$186$$

C
$$45$$

D
$$-168$$

Solution

Given that
We have to find the value of given expression
$$-123-45$$
we know that $$(-) \times (-) = +$$
$$-123-45$$
$$ = -168$$
So option $$D$$ is correct
Question 9
1 / -0

Find additive inverse of $$-7$$

A
$$-7$$

B
$$0$$

C
$$7$$

D
$$6$$

Solution

Let additive inverse of $$-7$$ be $$x$$.

$$\Rightarrow -7+x = 0$$

$$\therefore\ x = 7$$

Hence the additive inverse of $$-7$$ is $$7$$
Question 10
1 / -0

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

A
$$146$$

B
$$-146$$

C
$$100$$

D
$$-100$$

Solution

Given that
We have to find the value of the given expression
$$23-(-123)$$

we know that $$(-) \times (-) = +$$
and $$(+) \times (-) = -$$
$$=23+123$$
$$=146$$

So option $$A $$ is correct

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Re-Attempt Weekly Quiz Competition

Integers Test - 26

Result

Integers Test - 26

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SHARING IS CARING

Question 1

$$6$$

$$8$$

$$(-7)$$

$$(-8)$$

Solution

Question 2

If $$-4 <3$$, then $$4 < -3$$

If $$-2 <5$$, then $$2>5$$

If $$0 > -7$$, then $$0 < 7$$

If $$8 > 1$$, then $$-8 > -1$$

Solution

Question 3

$$-143$$

$$143$$

$$-9$$

$$9$$

Solution

Question 4

$$6$$

$$(-5)$$

$$(-17)$$

$$17$$

Solution

Question 5

$$99$$

$$-99$$

$$-101$$

$$101$$

Solution

Question 6

$$156$$

$$136$$

$$-156$$

$$-136$$

Solution

Question 7

$$-188$$

$$100$$

$$-100$$

$$188$$

Solution

Question 8

$$168$$

$$186$$

$$45$$

$$-168$$

Solution

Question 9

$$-7$$

$$0$$

$$7$$

$$6$$

Solution

Question 10

$$146$$

$$-146$$

$$100$$

$$-100$$

Solution

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