Calculate the answer. Express it in scientific notation. All answers should have the correct number of significant figures. #4.9 xx 10^(-2) cdot 9.80 xx 10^2 = ?#

1 Answer
Junaid Mirza
Jun 13, 2018

#4.8 × 10^1#

Explanation:

#=> (4.9 × 10^-2) × (9.80 × 10^2)#

#=> 4.9 × 9.80 × 10^(-2 + 2)#

#=> 48.02 × 10^0#

#=> 48.02#

#=> 4.802 × 10^1#

The rule says "answer should have same significant figures as the least significant number in the problem." In our problem #4.9# is least significant number with #2# significant figures. Therefore our answer should have #2# significant figures. So,

#=> 4.8 × 10^1#

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