Question

A) Work out (2.3 x 10 to power of 4 x (1.5 x 10 to power of negative 2

Give your answer in standard form.


b) Work out (3.6 x 10 to power of negative 5 + (1.8 x 10 to power of 2)
Give your answer in standard form.

Answer 1

To multiply numbers in scientific notation, multiply the coefficients and add the exponents. To add numbers in scientific notation, the exponents must be the same.

Step-by-step explanation:

a) To multiply numbers in scientific notation, multiply the coefficients and add the exponents. In this case, (2.3 x 10^4) x (1.5 x 10^-2) = 3.45 x 10^2. So the answer in standard form is 345.

b) To add numbers in scientific notation, the exponents must be the same. In this case, (3.6 x 10^-5) + (1.8 x 10^2) = 1.800036.