Question

Find the value of \[\left( {37} \right) + \left( { - 2} \right) + \left( { - 65} \right) + \left( { - 8} \right)\]

Answer 1

Hint: Here, We will first change the sign using the property of sign. Then we will take the negative sign common from the terms and add the rest of the terms. We will then find the difference of the remaining terms to get the required answer.

Complete step-by-step answer:
Here we need to find the value of the given mathematical expression.
The given expression is \[\left( {37} \right) + \left( { - 2} \right) + \left( { - 65} \right) + \left( { - 8} \right)\]
First we will open the bracket and change the sign using property \[\left( + \right)\left( - \right) = \left( - \right)\]. Therefore, we get
\[\left( {37} \right) + \left( { - 2} \right) + \left( { - 65} \right) + \left( { - 8} \right) = 37 - 2 - 65 - 8\]
We will take the\[\left( - \right)\] sign common from the negative terms. Therefore, we get
\[ \Rightarrow \left( {37} \right) + \left( { - 2} \right) + \left( { - 65} \right) + \left( { - 8} \right) = 37 - \left( {2 + 65 + 8} \right)\]
We will again solve the terms inside the brackets i.e. we will add the numbers inside the bracket.
\[ \Rightarrow \left( {37} \right) + \left( { - 2} \right) + \left( { - 65} \right) + \left( { - 8} \right) = 37 - 75\]
On subtracting these numbers, we get
\[ \Rightarrow \left( {37} \right) + \left( { - 2} \right) + \left( { - 65} \right) + \left( { - 8} \right) = - 38\]
Hence, the value of the given mathematical expression is \[ - 38\].

Note: We should also know the basic mathematical operations. Addition is the operation in which two numbers are combined to get the result. Subtraction is the operation which gives us the difference between the two numbers. Multiplication is the operation in which the one number is added to itself for some particular number of times. Division is the operation in which the dividend is divided by the divisor to get the quotient along with some remainder where dividend is the term or number which is to be divided. Divisor is the term or number which we divide by. Quotient is the term or number which is the answer of this division operation and remainder is the term which is left when a division operation is performed.