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question 10 subtract ( 9.5 \times 10^{9}-5.2 \times 10^{4} ) to type an…

Question

question 10
subtract ( 9.5 \times 10^{9}-5.2 \times 10^{4} )
to type an exponent use the caret (^) for example:
10 to the third power = 10^3
hint: your answer should have 7 significant figures.

Explanation:

Step1: Rewrite terms to same exponent

$9.5 \times 10^9 = 9500000 \times 10^4$

Step2: Perform the subtraction

$9500000 \times 10^4 - 5.2 \times 10^4 = (9500000 - 5.2) \times 10^4$
$= 9499994.8 \times 10^4$

Step3: Convert to proper scientific notation

$9499994.8 \times 10^4 = 9.4999948 \times 10^9$

Step4: Round to 7 significant figures

$9.499995 \times 10^9$

Answer:

9.499995x10^9