Mathematics
Grade5
Easy

Question

On Monday, the temperature was 89.5 to the power of 0. On Tuesday the temperature was 74.2 to the power of 0 . The difference in temperature between both days is _________

  1. 15 to the power of ring operator
  2. 15.2 to the power of ring operator
  3. 15.3 to the power of ring operator
  4. 14.8 to the power of ring operator

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

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 on Monday, the temperature was 89.5 to the power of 0. On Tuesday the temperature was 74.2 to the power of 0 . We have to find the difference in both.
So we will subtract the number in an appropriate way and then show the difference.

 
 

The correct answer is: 15.3 to the power of ring operator


    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 89.5 to the power of ring operator minus 74.2 to the power of ring operator, let's solve this.
    89.5 to the power of ring operator minus 74.2 to the power of ring operator
    Solving the decimal part first, we get
    0.5 – 0.2 = 0.3
    Then solving the remaining part:
    89  – 74 = 15
    15 + 0.3 = 15.3
    So the difference is 15.3 degree.

    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 difference is 15.3 degree.

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