Whole Numbers Test

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Whole Numbers Test - 16

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Weekly Quiz Competition

Question 1
1 / -0

For any integer $$'a'$$, the value of $$a + 0 =$$ $$.....$$

A
$$a$$

B
$$0$$

C
$$1$$

D
$$2\ a$$

Solution

The "Additive Identity" of any integer is $$0$$, because adding $$0$$ to a number does not change it:
$$a + 0 = 0 + a = a$$

Thus, for any integer $$'a',$$
$$ a + 0 = a.$$
Question 2
1 / -0

Which of the following shows the distributive property of multiplication over addition?

A
$$(x + 0)\times (y + 0) = x\times y$$

B
$$x\times y = y\times x$$

C
$$x\times 1 = x$$

D
$$x (y + z) = (x\times y) + (x\times z)$$

Solution

$$x (y + z) = (x\times y) + (x\times z)$$ shows the distributive property of multiplication over addition.
Question 3
1 / -0

Simplify using associative property: $$(18 + 59) + 1$$

A
$$79$$

B
$$78$$

C
$$76$$

D
$$80$$

Solution

$$(18 + 59) + 1 = 18 + (59 + 1)$$ (associative property)
$$= 18 + 60$$
$$= 78$$
(Here, to find the result, we avoided $$18 + 59$$, which could be time consuming).
Question 4
1 / -0

Simplify using distributive property:
$$14\times 6 + 14\times 4 = ...........$$

A
$$140$$

B
$$38$$

C
$$280$$

D
$$28$$

Solution

The Distributive Property is easy to remember if you recall that "multiplication distributes over addition".

Formally, they write this property as $$"a(b + c) = ab + ac".$$

$$14\times 6 + 14\times 4$$
$$ = 14\times (6 + 4)$$ (distributive property)
$$= 14\times 10$$
$$= 140$$.
Question 5
1 / -0

Which of the following when added to the additive identity element results $$0$$?

A
$$1$$

B
$$-1$$

C
$$0$$

D
$$2$$

Solution

The additive identity element is $$0$$.

We know that the sum of $$0$$ and any number is the number itself.

Let the number be $$x$$. $$\therefore x + 0 = 0\Rightarrow x = 0$$.
Question 6
1 / -0

Find the missing values: $$571 + (...... + 394) = (..... + 429) + 394$$

A
$$571, 394$$

B
$$429, 571$$

C
$$571, 429$$

D
$$429, 394$$

Solution

Addition is associative for whole numbers
$$i.e. a + (b + c) = (a + b) + c$$
$$\therefore 571 + (429 + 394) = (571 + 429) + 394$$
$$\therefore$$ The missing terms are $$429, 571.$$
Question 7
1 / -0

Fill in the blank: $$17\times 28 + 17\times 22 = 17\times (.... + 22)$$

A
$$17$$

B
$$22$$

C
$$28$$

D
$$1$$

Solution

Distributive property states that,
$$a\times (b + c) = (a\times b) + (a\times c)$$
$$\therefore (17\times 28) + (17\times 22) = 17\times (28 + 22)$$

Option $$C$$ is correct.
Question 8
1 / -0

Simplify using distributive property:
$$[5\times (6)] + [5\times 3] =$$ $$.....$$

A
$$25$$

B
$$35$$

C
$$45$$

D
$$15$$

Solution

$$[5\times (6)] + [5\times 3] = 5 [(6) + 3]$$ ($$\because$$ distributive property)
$$= 5[9]$$
$$=45$$.
Question 9
1 / -0

Find $$A$$ in the following number line?

A
$$10$$

B
$$12$$

C
$$11$$

D
None of the above

Solution

On the number line from right to left, the numbers decrease by $$1.$$
From the number line, between $$10$$ and $$12, 11$$ should come. Thus, $$11$$ is the value of $$A$$.
Question 10
1 / -0

The difference between successor and predecessor of any number is

A
$$0$$

B
$$1$$

C
$$2$$

D
None of these

Solution

Let the number is $$n$$
Then the successor of the number = $$n+1$$
and the predecessor of the number = $$n-1$$

Difference $$=n+1-(n-1)$$
$$=n+1-n+1$$
$$=2$$

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Re-Attempt Weekly Quiz Competition

Whole Numbers Test - 16

Result

Whole Numbers Test - 16

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SHARING IS CARING

Question 1

$$a$$

$$0$$

$$1$$

$$2\ a$$

Solution

Question 2

$$(x + 0)\times (y + 0) = x\times y$$

$$x\times y = y\times x$$

$$x\times 1 = x$$

$$x (y + z) = (x\times y) + (x\times z)$$

Solution

Question 3

$$79$$

$$78$$

$$76$$

$$80$$

Solution

Question 4

$$140$$

$$38$$

$$280$$

$$28$$

Solution

Question 5

$$1$$

$$-1$$

$$0$$

$$2$$

Solution

Question 6

$$571, 394$$

$$429, 571$$

$$571, 429$$

$$429, 394$$

Solution

Question 7

$$17$$

$$22$$

$$28$$

$$1$$

Solution

Question 8

$$25$$

$$35$$

$$45$$

$$15$$

Solution

Question 9

$$10$$

$$12$$

$$11$$

None of the above

Solution

Question 10

$$0$$

$$1$$

$$2$$

None of these

Solution

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