Question

Been a while since I’ve needed to not use a calculator. Why is -2X10^-18 (3/16) = 4.09X10^-19?

Answer 1

Answer:

see the explanation

Step-by-step explanation:

we have

$2.18*10^{-18}(\frac{3}{16})$

we have that

$\frac{3}{16}=0.1875$

Convert to scientific notation

$0.1875=1.875*10^{-1}$

substitute

$2.18*10^{-18}(1.875*10^{-1}})$

Remember that

To multiply two numbers in scientific notation, multiply their coefficients and add their exponents

$2.18*10^{-18}1.875*10^{-1}}=(2.18*1.875)*10^{(-18-1)}=4.0875*10^{-19}$

Round the number 4.0875 two decimal places

so

$4.0875*10^{-19}=4.09*10^{-19}$