a number 5.78 into 10 to the power 3 is wrongly written as 5.87 into 10 to the power 3 find the percentage error!
please answer this question with full explanation or else I will report it
Answers
Answer:
The percentage error is 1.56℅.
Step-by-step explanation:
We find percentage error by:
[(Difference between true value and wrong value)/ True value]*100
True value= 5.78*10^3 = 5780 [ converting into whole numbers for convenience]
Wrong value= 5.87* 10^3 = 5870
Difference between both the values= 5870-5780 = 90
So, percentage error= (90/5780) *100 = 1.557℅ or 1.56℅.
Hence, the percentage error from the given observation is 1.56℅.
Answer:
1.56%
Step-by-step explanation:
Error =5.87×10^3 - 5.78×10^3=0.09 (this is complex so don't take this take the error given above FORMULA
To make it simpler
5.87×1000 (simplify the power 10^3=1000)=
5870(wrongly written number)
5.78×1000(simplify the power 10^3=1000)=5780( the original number)
Error =5870- 5780 =90
FORMULA
Percentage error =error /original number ×100%
percentage error = 90/5780 ×100%
when you solve this(90/5780×100%) the answer will come in decimals 1.55and on and on so, you just need two numbers after the decimal point .As this number is a recurring number the second number can be changed to the next that is 1.55 Can be changed to 1.56% that's your answer