Mathematics
Grade5
Easy

Question

Teddy hopped a distance of 219.8 miles on Monday, on Tuesday he hopped a distance of 199 miles and on Wednesday he hopped a distance of 200.2 miles. The total distance hopped by Teddy on all the three days = ______________

  1. 620 miles
  2. 619.8 miles
  3. 620.9 miles
  4. 619 miles 

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 Teddy hopped a distance of 219.8 miles on Monday, on Tuesday he hopped a distance of 199 miles and on Wednesday he hopped a distance of 200.2 miles. We have to find the total distance hopped by Teddy on all three days.
So we will break the number in an appropriate way and then show the sum. 

 

The correct answer is: 619 miles


    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 219.8 + 199 + 200.2, let's solve this.
    219.8 + 199 + 200.2
    219.8 + 200.2 + 199 (Using commutative property)
    (219.8 + 200.2) + 199 (using associative property)
    420 + 199 = 619
    So, the sum is 619.

    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 sum is 619.

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