This is about approximation.
A) 40,000 words
B) 54,535 words
C) Answer in B is reasonable when compared to A because we approximated each figure in A to the nearest ten thousand and the difference between answer in A and B is very close to 10000.
- We are told that he wrote a total of 95234 words in a semester
First month; he wrote 35295 words
Second Month; he wrote 19240 words
- All the digits are 5 digits numbers. In 5 digits numbers, they are labelled as follows;
- The first number from right end is called units
- The second number from right end is called tens
- The third number from right end is called hundreds
- The fourth number from right end is called thousands
- The fifth number from right end is called ten thousands
- This means that approximation to the nearest ten thousand is that if the thousands digit is equal to or more than 5, we will add 1 to the ten thousands digit and make every other digit zero. Otherwise, we will leave it as it is and make every other digit zero,
- a) Applying this concept of approximation earlier discussed, we have;
Total words for the semester ≈ 100000 words
First month words; 40000 words
Second Month words; 20000 words
Words for remaining part of the semester = 100000 - (40000 + 20000)
⇒ 100000 - 60000
⇒ 40000 words
- b) Exact number of words during the remaining part of the semester;
⇒ 95234 - (35295 + 19240)
⇒ 54,535 words
- c) Answer in Question A gave us 40000 words while answer in Question B gave us 54,535 words.
The difference is; 54,535 - 40000 = 14535 words.
The answer in question B is reasonable because we approximated question A to the nearest ten thousand and the difference in in tens of thousands.
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