Multiplication Solver

Multiplication (symbol "×") solver is the mathematical operation of scaling one number by another. It is one of the four basic operations in a elementary arithmetic (the others being addition, subtraction and division) (Source.Wikipedia). Multiplication solver  there are two jobs such that one of them can be completed in m ways, and when it has been completed in any one of these m ways, second job can be completed in n ways; then the two jobs in succession can be completed in m × n ways.

Examples for multiplication solver:


Rules for multiplication solver:

•    The multiplication solver of two positive integers is a positive integer.

•    The multiplication solver of a positive integer and the negative integer is a negative integer.

•    The multiplication solver of two negative integers is a positive integer.

Example 1:

Multiply 283 by 104

Solution:

283 × 104 means 104 times 283

or 100 times 283 + four time 283

or 28300 + [4* 283]

or 29432

∴ 283 × 104 = 29432 [multiplication rules: The product of two positive integers is a positive integer.]

Example 2:

Multiply 750 × 98

Solution:

750 × 98 means 98 times 750

or 100 times 750 – two time 750

or 75000 – 1500

or 73500

∴ 750 × 98 = 73500      [multiplication rules: The product of a positive integer and the negative integer is a negative integer.]

Example 3:

Find the value of 10 × 5 + 12 × 5 + 14 × 5

Solution:

10 × 5 + 12 × 5 + 14 × 5 means

10 times 5 + 12 times 5 + 14 times 5

or 36 times 5

or 36 × 5

or 180

∴ The value = 180


Understanding Example 4:

Multiply 843 by 55 by ordinary method

Solution:

8 4 3 ×

5 5
..............
4215
...................
4 6 3 6 5              [multiplication rules: The product of two positive integers is a positive integer.]
.......................

Example 5:

Find the product of (a) (+ 6) × (– 6) (b) (– 13) × (+ 13) (c) (– 15) × (– 4)

Solution:

(a) (+ 6) × (– 6) = – 36 (positive × negative = negative)

(b) (– 13) × (+ 13) = – 169 (negative × positive = negatives)

(c) (– 15) × (– 5) = + 75 (negative × negative = positive)

Example 5:

Find the product of (a) (– 4) × (+ 5) × (+ 2) (b) (– 2) × (– 5) × (+ 10) (c) (– 4) × (– 2) × (– 6)

Solution:

(a) (– 4) × (+ 5) × (+ 2) (b) (– 2) × (– 5) × (+ 10) (c) (– 4) × (– 2) × (– 6)

= (– 20) × (+ 2) = (+ 10) × (+ 10) = (+ 8) × (– 6) [The product of a positive integer and the negative integer is a negative integer. multiplication rules]

= – 40 = + 100 = – 48

Example 6 :

Multiply  2 and 3

Solution:

By repeated addition we get the following:

2 × 4 = 2 + 2 + 2+2 = 8.

Practice problem for multiplication solver:


1.Multiply  2 and 5

Answer:10

2.Multiply  100 and 108

Answer:10800