Question

Which of following is not the same as \[\left( { - 25} \right)\left( {6 + 4} \right)\]
A \[ - 250\]
B \[\left( { - 25} \right) \times 10\]
C \[\left( { - 25} \right) \times 6 \times 4\]
D \[\left( { - 25} \right) \times 6 + \left( { - 25} \right) \times 4\]

Answer 1

Hint: Multiplication is adding a number with respect to another number, repeatedly and from the given expression we need to find out which expression is not same from the given options; hence we need to know all the basic properties with respect to multiplication and compare all the options with the given expression.

Complete step by step answer:
Let us write the given data:
\[\left( { - 25} \right)\left( {6 + 4} \right)\]
Here, the given expression;
\[\left( { - 25} \right)\left( {6 + 4} \right)\] is not same as in the given option\[\left( { - 25} \right) \times 6 \times 4\]; as we get \[6 + 4 = 10\], but
\[6 \times 4 = 24\].

So, the correct answer is “Option C”.

Additional information: Multiplication of single digit numbers is an easy task. But multiplying two or more-digit numbers can be a difficult and time-consuming task.
There are various rules to multiply numbers, they are: Multiplication of two integers is an integer. Any number multiplied by \[0\] is \[0\]and any number multiplied by one is equal to the original number. If an integer is multiplied by multiples of \[0\], then the same number of zeros are added at the end of the original number. The order of the numbers does not matter, when multiplied together.

Note: We must note the rules for multiplication that 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.