Question

# Michel and Harris decided to have a race at the school track. Michel’s time was 57.48 seconds. Harris’s time was 48.7 seconds. Michel is __________ seconds faster than Harris

- 8.78 sec
- 8.68 sec
- 8.58 sec
- 8.48 sec

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 that Michel and Harris decided to have a race at the school track. Michel’s time was 57.48 seconds. Harris’s time was 48.7 seconds. We have to find Michel is how many seconds faster than Harris.

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 that Michel and Harris decided to have a race at the school track. Michel’s time was 57.48 seconds. Harris’s time was 48.7 seconds. We have to find Michel is how many seconds faster than Harris.

## The correct answer is: 8.78 sec

### 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: 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 57.48 – 48.7, let's solve this.

57.48 – 48.7

= 57.48 – 49 (Rounding to the nearest whole number)

= 8.48 + 0.3 (compensation)

= 8.78

So, the sum is 8.78

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. So, the sum is 8.78.