Mathematics
Grade5
Easy

Question

Ming weighs 36.5 kg , Jim weighs 29.5kg and queen weighs 40.75 kg . Total weight of all three is ____________

  1. 106.75kg
  2. 106.55kg
  3. 107kg
  4. 106.25kg

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 Ming weighs 36.5 kg, Jim weighs 29.5kg and queen weighs 40.75 kg. We have to find the total weight of all three.
So we will break the number in an appropriate way and then show the sum. 

 

The correct answer is: 106.75kg


    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)
    Now we have given 36.5 + 29.5 + 40.75, let's solve this.
    36.5 + 29.5 + 40.75
    (36.5 + 29.5) + 40.75 ( compatible numbers)
    66 + 40.75
    106.75 kg
    So, the sum is 106.75

    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 compatible is also used. So, the sum is 106.75.

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