What is the product of 877 and 0.345 expressed to the correct significant digits and written in proper scientific notation?

1 Answer
Nov 10, 2016

#3.03 * 10^2#

Explanation:

Both numbers, #807# and #0.345# have 3 significant digits .

Since they are multiplying, you must consider the answer to have the lowest number of significant digits, which, in this case, happens to be #3#.

Therefore,

#807 * 0.345#
#=302.56500#
#=3.03 * 10^2#

NOTE
It's #3.03# rather than #3.02# as you must round the last digit, which was #2# in this case. Since a #56# was followed by it, it must be rounded up.