Question

The product of 120 and 360 is​

Answer 1

Concept:

Law of Commutative Multiplication

This law states that no matter how the numbers are arranged, the outcome of their multiplication remains the same.

Distributive and Associative Laws

In addition to the commutative law, there are two additional significant laws that are frequently applied in mathematics.

Law of distribution :According to the associative law, if three real integers A, B, and C are present;

A + B + C = A + B + C

(A.B.C) = A.(B.C).

This law is likewise relevant to addition and multiplication, just like the commutative rule.

For instance, if the numbers 2, 3, and 5 are three, then;

2+(3+5) = (2+3)+5

⇒2+8 = 5 + 5

⇒10 = 10

&

2.(3.5) = (2.3).5

⇒ 2.(15) = (6).5

⇒ 30 = 30

Given:

120 and 360

Find:

Multiplication 120 and 360

Solution:

120 x 360

=12 x 10 x12 x 3 x 10

=144 x3 x 100

=432 x 100

=43200

Therefore the multiplication of 120 and 360 is 43200

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Answer 2

Answer:

The value of the product of the numbers 120 and 360 is 43200.

Step-by-step explanation:

Product of numbers:-

• The product of numbers is the result we obtained by multiplying them together.
• A number multiply by the another, the resultant obtained is called the product of the numbers.

Associativity over multiplication:-

• $a(bc)=(ab)c$, where a, b, c are integers.

Step 1 of 1

Consider the given numbers as follows:

120 and 360

Then,

The product of the numbers 120 and 360 is,

120 × 360

Rewrite the product as follows:

(12 × 10) × (36 × 10)

The product over integer is associative and commutative, i.e.,

(12 × 10) × (36 × 10) = 12 × 36 × 10 × 10

                               = 432 × 100

                               = 43200

Final answer: The value of the product of the numbers 120 and 360 is 43200.

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