How do you evaluate #-5.75\times 10^ { - 4}#?

1 Answer
David Drayer · EZ as pi · Meave60
Mar 7, 2017

#-0.000575 #

Explanation:

# 10^-4 = 1/ 10000# The negative exponent indicates that the power of ten is being divided.

The problem can be rewritten as

# -5.75 xx 1/10000#

Dividing by 10,000 moves the decimal 4 places to the left. This gives the answer of

#-0.000575#

(dividing by 10,000 does not change the negative sign )

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