Question

# 37.7 – 14.8 = _______

- 22.9
- 22.8
- 22.7
- 22.6

Hint:

###
An addition mental math technique is to dissect an addend. This approach might be more effective for some students than left-to-right addition. This method involves dividing up one addend in an equation into more manageable bits. There are certain properties that can be used while calculating which make it easy to add. Here we have given 37.7 – 14.8 and we have to find the difference.

So we will break the number in an appropriate way and then show the difference.

An addition mental math technique is to dissect an addend. This approach might be more effective for some students than left-to-right addition. This method involves dividing up one addend in an equation into more manageable bits. There are certain properties that can be used while calculating which make it easy to add. Here we have given 37.7 – 14.8 and we have to find the difference.

So we will break the number in an appropriate way and then show the difference.

## The correct answer is: 22.9

### Now as we know that here we have to find the step by breaking one number. The fact that there are no steps to memorise is one of the best things about mental math. The "friendly number" addition approach facilitates working with large numbers. This is due to the fact that we are, in essence, decomposing the problem into more manageable components.

Here we will use some properties which are:

- Commutative Property of Addition: if a and b are real numbers, then a+b=b+a
- Associative Property of Addition: if a,b, and c are real numbers, then (a+b)+c=a+(b+c)
- Compensation Property of addition: It is a mental math strategy for multi-digit addition that involves adjusting one of the addends to make the equation easier to solve.

Now we have given 37.7 – 14.8, let's solve this.

37.7 – 14.8

(37.7 + 0.2) – (14.8 + 0.2) (using compensation method)

37.9 - 15

22.9

So, the difference is 22.9

Here the concept of Break Apart Numbers is used where a number is divided in two parts to make addition easy. The concept of friendly numbers is also used so that it becomes easy for addition or subtraction purpose. Some properties like associative and commutative properties are also used to solve easily. So, the difference is 22.9.