Whole Numbers Test - 8

Option 1:
L.H.S
= (19 × 7) + 13
= 133 + 13 = 146
R.H.S
= (17 × 9) - 7
= 153 - 7 = 146
L.H.S = R.H.S (True)

Option 2:
L.H.S
= (78 ÷ 2) + 27
= 39 + 27 = 66
R.H.S
= (96 ÷ 3) + 34
= 32 + 34 = 66
L.H.S = R.H.S (True)

Option (3) is false.
L.H.S
= (55 × 3) ÷ 5
= 165 ÷ 5 = 33
R.H.S
= (15 × 7) - 55
= 105 - 55 = 50
L.H.S is not equal to R.H.S (False)

Commutative Law state that one can apply an operation on two numbers in any order. For example: we can add and multiply any 2 whole numbers in any order. i.e.
3 + 4 = 4 + 3
3 × 4 = 4 × 3.

But in case of subtraction and division it is not possible. For example:
6 - 3 = 3
3 - 6 = -3 which is not a whole number

Similarly,
6 ÷ 3 = 2
3 ÷ 6 = 1/2 = 0.5.
Therefore, the commutative law does not apply to subtraction and division.

Zero is not a natural number. It is the predecessor of 1 and considered a whole number.

Multiplicative identity means that you can multiply 1 to any number and it keeps its identity the same and the number stays the same.

To write out this property using variables, we can say that n × 1 = n. It does not matter if n equals one, one million or 3.566879. The property always hold true.
Therefore, 56 × 1 = 56.

Number of apples in each box = 20
Number of apples in 10 boxes = 10 x 20

Number of mangoes in each box = 30
Number of mangoes in 10 boxes = 10 x 30

Number of strawberries in each box = 50
Number of strawberries in 10 boxes = 10 x 50

Now, Garvin prepares 10 boxes containing these fruits.
So, total number of fruits in all 10 boxes = 10 x 20 + 10 x 30 + 10 x 50

By distributive property: 10 x (20 + 30 + 50) fruits
= 10 x 100 = 1000 fruits

Hence, distributive property is the correct answer.

1 ÷ 1 = 0 is false because when we divide any number by 1, it remains the same.
(1 ÷ 1 = 1)

In closure property of subtraction, the difference between any two whole numbers will not always be a whole number.

Example:

7 - 15 = -8
In the above example, 7 as well as 15 are whole numbers, but -8 is not a whole number.

Therefore, in closure property, whole numbers are closed under addition and also under multiplication.

Associative property states that you can add or multiply, regardless of how the numbers are grouped.
a + (b + c) = (a + b) + c represents the associative property.
So, a + (b + c) = (a + b) + c is the correct answer.