Divide 24 by 0.03?

↳Redirected from "Suppose that I don't have a formula for #g(x)# but I know that #g(1) = 3# and #g'(x) = sqrt(x^2+15)# for all x. How do I use a linear approximation to estimate #g(0.9)# and #g(1.1)#?"
2 Answers
Patrick N.
May 8, 2018

#800#

Explanation:

Dividing by #0.03# is the same as multiplying by #33 1/3#.

You can do either in a calculator, and your answer will be #800#.

To b. · Stefan V.
May 8, 2018

#800#

Explanation:

To do this without a calculator, you must rephrase the question. Instead of doing #24/0.03#, rewrite this as

#24 / (3/100)#

When dividing by a fraction, you can rewrite the division as a multiplication, just by swapping the numerator and denominator- this turns into

#24 times 100/3#

#100/3 times 24#

is the same as

#8 times 100 = 800#

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