How do you write 5,213 in scientific notation?

2 Answers
Feb 7, 2016

Answer:

#5.213xx10^3#

Explanation:

Your target is to have 1 digit (not 0) to the left of the decimal point and all the others to the right. In doing this on its own you are changing the value. So you have to mathematically correct this.

Given: #5213.000#

#color(blue)("Step 1")#

write as #5.213#

#color(blue)("Step 2")#

to change this back to the original number write it as:

#5.213 xx 1000#

#color(blue)("Step 3")#

Write 1000 as #10^3# giving:

#5.213xx10^3#

Feb 7, 2016

Answer:

# 5.213 xx 10^3 #

Explanation:

The form of a number in scientific notation is # a xx 10^n #

where 1 ≤ a < 10 and n , is an integer

require to write 5 213 as a number between 1 and 10 so 5.213

to get this number back to what it should be , requires multiplying it by 1000.

hence 5.213 # xx 1000 #

now 1000 = # 10 xx 10 xx 10 = 10^3 #

# rArr 5213 = 5.213 xx 10^3 #