Calculate the answer. How would you express it in scientific notation? #(1,632) (4.0 xx 10^4)#?

1 Answer
Sep 4, 2016

Answer:

#"1,632" × 4.0 × 10^4 = 6.5 × 10^7#

Explanation:

Here are the three rules you need.

  1. All #color (red)("non-zero digits")# are significant.
  2. #color(red)("Trailing zeroes in the decimal portion")# of a number are significant.
  3. In multiplication and division, #color(red)("you round the answer to have"#
    #color(red)("the same number of significant digits as the number with the")#
    #color(red)("fewest significant figures")#.

You used a period as a decimal separator in 4.0, so I assume you are using the comma as a thousands separator in 1,632.

#"1,632"# has four significant figures.

#4.0 × 10^4# has two significant figures.

The answer can have only two significant figures.

#"1,632" × 4.0 × 10^4 = 6.5 × 10^7#