How do you write #7.0500xx10^-3 m^3# in standard form?

Answer 1

#0.00705" "m^3#

In scientific notation, we write a number so that it has single digit to the left of decimal sign (as in the given question) and is multiplied by an integer power of #10#.

Note that moving decimal #p# digits to right is equivalent to multiplying by #10^p# and moving decimal #q# digits to left is equivalent to dividing by #10^q#.

Hence, to write #7.0500xx10^(-3)# in standard form, we should multiply it by #10^(-3)# i.e. move decimal point to the left by #3# digits (as #-3# is a negative number).

Hence we write number as #00007.0500# and move decimal #3# points and in standard form, it appears as #00.0070500# i.e.

#0.00705" "m^3#

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Answer 2

Cameron Arnold

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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.