Question

Find the product by suitable rearrangement 25×1963×4

Answer 1

my answer is : 1,96,300

Step-by-step explanation:

can't explain

Answer 2

Concept

The multiplication of integers is commutative and associative i.e. for three integers a, b, and c

• a × b = b × a.

• (a × b) × c = a × (b × c).

Due to the second property it is unambiguous to write a × b × c without bracketing any two terms to mention which of the two to multiply first.

For subtraction the expression a – b – c becomes ambiguous.

For example lets calculate 5 – 3 – 6 in two different ways.

If we subtract first two numbers first,

(5-3)-6 = 2-6 = -4.

But if we subtract the last two terms first,

5-(3-6) = 5 -(-3) = 5 + 3 = 8,

So, in the case of subtraction it becomes important to mention which two of the three numbers should be subtracted first.

Given

An expression 25 × 1963 × 4.

Find

The value of the given expression.

Solution

The multiplication follows associative property so we can write

25×1963×4 = (25×1963)×4 = 25×(1963×4).

We use the middle expression for our use i.e.,

25 × 1963 × 4 = (25×1963)×4.

Multiplication is commutative so 25×1963 = 1963×25. Using this in the above expression,

25 × 1963 × 4 = (1963×25)×4.

Again using the associative property we can write,

25×1963×4 = 1963×(25×4) = 1963 × 100,

Which is simply 196300.

The required multiplication is 196300.

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