Whole Numbers Test

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Whole Numbers Test - 15

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Weekly Quiz Competition

Question 1
1 / -0

Find the unknown value: $$11 + ... = 13 + 11$$

A
$$13$$

B
$$11$$

C
$$3$$

D
$$24$$

Solution

Whole numbers are commutative under addition. i.e. $$a + b = b + a$$. Therefore, $$11 + 13 = 13 + 11$$.
Question 2
1 / -0

Which of the following statements is incorrect?

A
$$16\times 64 = 64\times 16$$

B
$$16 + 64 = 64 + 16$$

C
$$16 - 64 = 64 - 16$$

D
$$16 - 16 = 64 - 64$$

Solution

$$16 \times 64 = 64 \times 16$$ and $$16 + 64 = 64 + 16$$ depicts the commutative properly for whole numbers. So, they are true statements. Also, $$16 - 16 = 0$$ and $$64 - 64 = 0$$. So, $$16 - 16 = 64 - 64 = 0$$
But, $$16 - 64 \neq 64 - 16$$, because whole numbers are not commutative under subtraction.
Thus, $$16 - 64 = 64 - 16$$ is an in correct statements.
Question 3
1 / -0

Find the missing values: $$14\times (.......\times ......) = (14\times 2)\times 10$$

A
$$2, 10$$

B
$$14, 2$$

C
$$2, 5$$

D
$$10, 14$$

Solution

Multiplication is associative for whole numbers. i.e. $$a\times (b\times c) = (a\times b)\times c$$
$$\therefore 14\times (2\times 10) = (14\times 2)\times 10$$
$$\therefore$$ The missing terms are $$2, 10$$.
Question 4
1 / -0

Find the missing term: $$24\times (6\times 5) = (24\times 6) \times ......$$

A
$$24$$

B
$$6$$

C
$$5$$

D
$$1$$

Solution

Multiplication is associative for whole numbers. i.e. $$a\times (b\times c) = (a\times b)\times c$$
$$\therefore 24\times (6\times 5) = (24\times 6)\times 5$$.
Question 5
1 / -0

Find the missing value: $$(3 + 14) + 9 = 3 + (14 + .....)$$

A
$$3$$

B
$$9$$

C
$$14$$

D
$$1$$

Solution

Addition is associative for whole numbers.
$$i.e. (a + b) + c = a + (b + c)$$
$$\therefore (3 + 14) + 9 = 3 + (14 + 9)$$
Question 6
1 / -0

Which of the following depicts associative law for multiplication?

A
$$a + b = b + a$$

B
$$a \times b = b\times a$$

C
$$a + (b + c) = (a + b) + c$$

D
$$(a\times b) \times c = a\times (b\times c)$$

Solution

Associative property for multiplication states that the product of any three or more numbers remains the same irrespective of the order in which the multiplication is carried out.
$$\therefore (a\times b)\times c = a\times (b\times c)$$.
Question 7
1 / -0

Fill the blank space: $$5\times ............... = 31\times ..........$$

A
$$5, 31$$

B
$$31, 5$$

C
$$5, 5$$

D
$$31, 31$$

Solution

Whole numbers are commutative under multiplication.
So, for any whole numbers $$a$$ and $$b$$ $$\Rightarrow$$ $$a\times \underline {b} = \underline {b} \times a$$. [Note that here the first - term becomes the second term and second term becomes the first term]
$$\therefore 5\times .............. = \underline {31} \times ............$$
$$\therefore 5\times 31 = 31\times 5$$
Thus, the missing numbers are $$31, 5$$.
Question 8
1 / -0

The value of $$(147 + 0) + (123 + 0)$$ is

A
$$147$$

B
$$270$$

C
$$123$$

D
$$0$$

Solution

$$(147 + 0) + (123 + 0) = 147 + 123$$
$$= 270$$.
$$(\therefore 147 + 0 = 147, 123 + 0 = 123)$$
Question 9
1 / -0

Find the missing values: $$52 + (53 + 55) = (..... + ......) + 55$$

A
$$55, 52$$

B
$$55, 53$$

C
$$52, 53$$

D
$$52, 52$$

Solution

Addition is associative for whole numbers. i.e. $$a + (b + c) = (a + b) + c$$
$$\therefore 52 + (53 + 55) = (52 + 53) + 55$$
$$\therefore$$ The missing terms are $$52, 53$$.
Question 10
1 / -0

Find the missing values: $$25\times (15\times ...... ) = (..... \times 15) \times 10$$

A
$$10, 15$$

B
$$10, 10$$

C
$$15, 25$$

D
$$10, 25$$

Solution

Multiplication is of whole numbers is associative in nature that means,
$$a\times (b \times c) = (a\times b)\times c$$

$$\therefore 25 \times (15\times 10) = (25\times 15) \times 10$$

Therefore, the missing terms are $$10, 25$$ respectively.

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Whole Numbers Test - 15

Result

Whole Numbers Test - 15

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SHARING IS CARING

Question 1

$$13$$

$$11$$

$$3$$

$$24$$

Solution

Question 2

$$16\times 64 = 64\times 16$$

$$16 + 64 = 64 + 16$$

$$16 - 64 = 64 - 16$$

$$16 - 16 = 64 - 64$$

Solution

Question 3

$$2, 10$$

$$14, 2$$

$$2, 5$$

$$10, 14$$

Solution

Question 4

$$24$$

$$6$$

$$5$$

$$1$$

Solution

Question 5

$$3$$

$$9$$

$$14$$

$$1$$

Solution

Question 6

$$a + b = b + a$$

$$a \times b = b\times a$$

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

$$(a\times b) \times c = a\times (b\times c)$$

Solution

Question 7

$$5, 31$$

$$31, 5$$

$$5, 5$$

$$31, 31$$

Solution

Question 8

$$147$$

$$270$$

$$123$$

$$0$$

Solution

Question 9

$$55, 52$$

$$55, 53$$

$$52, 53$$

$$52, 52$$

Solution

Question 10

$$10, 15$$

$$10, 10$$

$$15, 25$$

$$10, 25$$

Solution

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