Question

What is the product of 354 and 42?

Answer 1

Hint: First of all we need to understand the meaning of the term ‘product’. We will know about the four basic arithmetic operations which are: addition, multiplication, subtraction and division. We will then see the symbols used for the notation of these operations. Once we will understand the operation the term ‘product’ represents we can easily find the answer.

Complete step by step solution:
Here we have been asked the value of the product of 354 and 42. First let us understand the meaning of the term ‘product’. Let us check the four basic arithmetic operations.
(1) Addition: - When we add two or more numbers it is said to be their sum. It is denoted with plus - sign $\left( + \right)$. For example: - $4+5=9$.
 (2) Subtraction: - When we subtract a number from another number it is said to be the difference of two numbers. It is denoted with minus - sign $\left( - \right)$. For example: - $9-8=1$.
(3) Multiplication: - When we multiply two or more numbers it is said to be the product of two numbers. It is denoted with a cross - sign $\left( \times \right)$ or dot sign (.) in higher mathematics. For example: - $3\times 8=24$.
(4) Quotient: - It is the division of a number known as the dividend with another number known as the divisor. It is denoted with the symbol $\left( \div \right)$. For example: - $85\div 17=5$.
Now, let us come to the question, we need to consider the product of two numbers 354 and 42. So, after studying about the above four arithmetic operations we can say that we have to multiply 354 and 42 to get their product. So we get,
$\Rightarrow $ Required product = $354\times 42$
$\Rightarrow $ Required product = 14868

Hence, the product of the given numbers is 14868.

Note: You must know the basic terms of elementary mathematics to solve the above question. Remember the symbols used for various arithmetic operations. In case we have to perform many operations in a single expression we use the BODMAS rule to get the answer. Sometimes we need to use certain algebraic identities to obtain the product. One such important identity is ${{a}^{2}}-{{b}^{2}}=\left( a+b \right)\left( a-b \right)$.