Find the 837+208+363 by using suitable rearrangement.
Answers
Step-by-step explanation:
Complete step-by-step answer:
The digit at the unit's place of the number 837 is 7. The digit at unit's place of the number 208 is 8. The digit at unit's place of the number 363 is 3. We will check which arrangement is the most suitable.We need to find the sum of the numbers 837, 208, and 363 by suitable rearrangement.
We will observe the digits at the unit's place of the three numbers.
The digit at the unit's place of the number 837 is 7.
The digit at unit’s place of the number 208 is 8.
The digit at unit’s place of the number 363 is 3.
We will check which arrangement is the most suitable.
Arrangement 1: (837+208)+363
The sum of 7 and 8 is 15, with 5 at the unit’s place.
Therefore, the sum of 837 and 208 will have 5 at the unit’s place.
The digit at unit’s place of the number 363 is 3.
Therefore, in this arrangement, we will have to add 363 and (837+208)
, with the respective digits at unit’s place as 3 and 5.
Arrangement 2: 837+(208+363)
The sum of 8 and 3 is 11, with 1 at the unit’s place.
Therefore, the sum of 208 and 363 will have 1 at the unit’s place.
The sum of 208 and 363 is 571.
The digit at the unit's place of the number 837 is 7.
Therefore, in this arrangement, we will have to add 837 and (208+363)
, with the respective digits at unit’s place as 7 and 1.
Arrangement 3: (837+363)+208
The sum of 7 and 3 is 10, with 0 at the unit’s place.
Therefore, the sum of 837 and 363 will have 0 at the unit’s place.
The digit at unit’s place of the number 208 is 8.
Therefore, in this arrangement, we will have to add 208 and (837+363)
, with the respective digits at unit’s place as 8 and 0.
Now, out of the three arrangements, we can observe it is easier to add 208 and (837+363)
, because the digits at the unit’s place are 8 and 0 respectively. These can be added more easily as compared to other arrangements.
Therefore, we will follow this arrangement.
Rewriting the sum of the three numbers 837, 208, and 363, we get
⇒837+208+363=837+363+208⇒837+208+363=(837+363)+208
Adding the numbers in the parentheses, we get
⇒837+208+363=1200+208
Adding the numbers 1200 and 208, we get
⇒837+208+363=1408
Answer:
Hi here is your answer:
(837+363) +208
=1200+208
Answer=1408
hope it helps:(