Question

The royal garden has 98 orchards, each with 299 apple trees. Calculate the difference between the "estimated" number of apple trees and the "actual" number of apple trees.

• A. 100
• B. 200
• C. 298
• D. 698

Answer 1

The correct option is D 698

Each orchard in the garden has 299 apples.
In total, there are 98 orchards.

So, total number of apple trees in the Royal garden will be
$=98\times 299$

You know,
$98$ can be rounded off to $100$.
And, $299$ can be rounded off to $300$.

So, by using standard multiplication algorithm,


Estimated result of $98\times 299$$=100\times 300=30,000$

Now, to calculate the actual product of $98\times 299$, use the standard algorithm.

Step 1:
Multiplying $299\times 8$, you get $2392$.


Step 2:
Multiplying $299\times 90$, you get $26910$.


Step 3:
Adding $2392$ to $26910$, you get the"actual product" as $29,302$.


Now, the "estimated product" is $30,000$.

So, the difference between the estimated and the actual product is $30,000-29,302=698$

Hence, the difference between the "estimated" number of apple trees and the "actual" number of apple trees is $698$.