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How do you evaluate #(1.4\times 10^ { 5} ) - ( 6.2\times 10^ { 4} )#?

Answer 1

Mila Anderson

You first convert, so that the #10#-powers are equal.

#1.4xx10^5=1.4xx10xx10^4=14xx10^4#

And then: #=(14xx10^4)-(6.2xx10^4)=(14-6.2)xx10^4=7.8xx10^4#

If significance is important this should be rounded to #8xx10^4#

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Answer 2

Noah Archer

To evaluate ( (1.4 \times 10^5) - (6.2 \times 10^4) ), subtract the second number from the first number while keeping the exponents the same:

( (1.4 \times 10^5) - (6.2 \times 10^4) = (1.4 - 0.62) \times 10^5 )

( = 0.78 \times 10^5 )

Now, 0.78 is written in scientific notation by moving the decimal point one place to the right:

( = 7.8 \times 10^4 )

So, ( (1.4 \times 10^5) - (6.2 \times 10^4) = 7.8 \times 10^4 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.