Mathematics
Grade-2
Easy
Question
Identify the first correct step for finding the sum of 23 and 8 mentally.
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. Here we have given to find the first correct step for finding the sum of 23 and 8 mentally. So we will break the number in an appropriate way and then show which step is correct.
The correct answer is: ![](data:image/png;base64,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)
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.
Friendly numbers are multiple of 10 like 20, 30, 40 which makes the calculations easy. Here we will use the the same and then find the step.
Now we have given 23 + 8, lets solve this.
We will break 8 to 7 and 1 so that it makes a friendly number, and then add 1 to it.
So, 23 + 7 + 1 = 30 + 1 = 31
So, the first correct step for finding the sum of 23 and 8 mentally is:
![](data:image/png;base64,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)
Here the concept of Break Apart Numbers is used where a number is divided in two parts to make addition easy. A concept of friendly number is also used so that it becomes easy for the addition or subtraction purpose. So, the first correct step for finding the sum of 23 and 8 mentally is 23 + 7 + 1.