Question
Allen picks two planks of pine to make a shelf. One plank of pine measures 98.42 inches and the other one measures 101.48 inches. When the shelf is made placing these two planks together , the total length of the self is _____________inches
- 199 inches
- 200 inches
- 200.1 inches
- 200.4 inches
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 Allen picks two planks of pine to make a shelf. One plank of pine measures 98.42 inches and the other one measures 101.48 inches. When the shelf is made placing these two planks together, what is the total length of the self.
So we will add the number in an appropriate way and then show the sum.
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 Allen picks two planks of pine to make a shelf. One plank of pine measures 98.42 inches and the other one measures 101.48 inches. When the shelf is made placing these two planks together, what is the total length of the self.
So we will add the number in an appropriate way and then show the sum.
The correct answer is: 200 inches
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 98.42 + 101.48, let's solve this.
98.42 + 101.48
Solving the decimal part first, we get:
0.42 + 0.48 = 1 (Decimal part)
Then the remaining part:
98 + 101 = 199 (whole number part)
199 + 1 =200 inches
So, the sum is 200 inches.
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 200 inches.
