Question

Subtract -66 from - 34.

Answer 1

Hint: To find subtraction or difference between two numbers we first see that which number is to be subtracted and from which. Writing them in proper order then we find the difference of two numbers and the result will carry a sign of a bigger number in case of subtraction.

Complete step by step solution:
In algebra we can add or subtract two given numbers.
 But for addition of two numbers. Numbers can be added in any way means either first is added to second or second is added to first. Result remains the same in both cases. This property is named as commutative property of addition.
But in case of subtraction. We first see which number is to be subtracted from which number. As, like addition, subtraction is not possible. As, result obtained in subtraction of two numbers in two different ways results differently.
Therefore, we must see from which, which number needs to be subtracted.
Like here in the given question we have to subtract $ - 66 $ from $ - 34 $ .
Here, we first write numbers $ - 34 $ and then subtract $ - 66 $ from it.
 $ \Rightarrow - 34 - \left( { - 66} \right) $
Also, we know that if there is a minus sign outside the bracket then the sign of terms gets reversed which are inside the bracket.
 $ \Rightarrow - 34 + 66 $
And if there are two terms having opposite sign subtraction will happen and the result will carry a sign of a bigger number.
Here, the term $ 66 $ is bigger therefore, the result will be positive after subtraction.
 $ = 32 $
Therefore, the required answer when $ - 66 $ is subtracted from $ - 34 $ is $ 32. $
So, the correct answer is “32”.

Note: While doing subtraction of two numbers one first must see that which number is to be subtracted from which number and then we see that terms which comes after minus sign, signs of each term gets reversed and then find difference of numbers of number if they are in opposite sign or find addition if they are in same sign.