Question

a) Use your calculator to work out the exact value of 13822 x 623 14 b) Using approximations to 1 significant figure, check that your answer to part a) makes sense. ​

Answer 1

a) Using a calculator, the exact value of 13822 x 62314 is 861,038,108.

b) To check if the answer in part a) makes sense using approximations to 1 significant figure, we round 13822 to the nearest 10,000 and 62314 to the nearest 60,000.

Approximation: 10,000 x 60,000 = 600,000,000

The approximation gives us 600 million, which is in the same order of magnitude as the exact answer of 861,038,108. Therefore, the answer in part a) appears to make sense based on the approximation.

Explanation: