Question

Evaluate \[\left( { - 6} \right) \times \left( { - 2} \right)\]
A.\[ - 8\]
B.\[ + 8\]
C.\[ - 12\]
D.\[ + 12\]

Answer 1

Hint: Here, we have to find the value of the given numbers. We have to multiply the given numbers with respect to its sign. So, we have to use the multiplication rule to find the product of two numbers. Multiplication is the repeated addition of equal groups.

Formula used: Multiplication rule: \[ - a \times - b = + ab\]

Complete step-by-step answer:
We have to find the product of given numbers.
\[ \Rightarrow \left( { - 6} \right) \times \left( { - 2} \right) = ( - )( - )6 \times 2\]
Multiplication rule: \[ - a \times - b = + ab\]
By using multiplication rule, we have
\[ \Rightarrow \left( { - 6} \right)\left( { - 2} \right) = ( + )6 \times 2\]
The product of two numbers \[6\]and \[2\] is \[12\]
\[ \Rightarrow \left( { - 6} \right) \times \left( { - 2} \right) = + 12\]
Therefore, the product of \[\left( { - 6} \right) \times \left( { - 2} \right)\] is \[ + 12\] .

Additional Information:
There are four properties involving multiplication that will help make problems easier to solve. They are the commutative, associative, multiplicative identity and distributive properties. When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands, then multiplication is said to satisfy commutative property. When three or more numbers are multiplied, the product is the same regardless of the grouping of the factors, then the multiplication is said to satisfy associative property. The product of any number and one is that number, then multiplication is said to satisfy multiplicative identity. The sum of two numbers times a third number is equal to the sum of each addend times the third number, then multiplication is said to satisfy distributive property.

Note: We should know about the multiplication rule of integers. Multiplication rules of integers include the product of a positive integer and a negative integer is negative, the product of two positive integers is positive and the product of two negative integers is positive. The number to be multiplied is called the multiplicand. The number with which we multiply is called the multiplier.