BUILD FLUENCY. EARN YOUR ASCENT.Sign in Start practising10 questions · No timer · No account needed Practise the method.
Exact values and accumulated rounding
Exact values and accumulated rounding
Example 1
Find the exact value of 369+369+369.
Show worked answer
Answer: 69
- Add the fractions exactly before rounding: 3×369=69.
Example 2
Each of three copies of 31 is first rounded to 0.33. What is the absolute error in their total?
Show worked answer
Answer: 0.01
- Exact total =1. Rounded total =0.99. Absolute error =∣0.99−1∣=0.01.
Example 3
Which method best avoids accumulated rounding error?
Show worked answer
Answer: Keep exact values or extra digits until the final result
- Repeated rounding can accumulate error. Retain exact values or guard digits and round the final result as requested.
Put it into practice.
Try a fresh round with worked feedback. Create an account whenever you want to save future progress.