How do we write #50000# in scientific notation?

Question

Jeremiah Andrews · Accepted Answer

#5.0xx10^4# constructed in phases so you can observe the progress #50,000 ->5000xx10# #50,000->500xx10xx10# #50,000->50xx10xx10xx10# #50,000->5xx10xx10xx10xx10# Thus: #50,000 -=5.0xx10^4#

Julian Avila · Answer

#50000=5xx10^4# In scientific notation, we write a number so that it has single digit to the left of decimal sign and is multiplied by an integer power of #10#. Note that moving decimal #p# digits to right is equivalent to multiplying by #10^p# and moving decimal #q# digits to left is equivalent to dividing by #10^q#. Hence, we should either divide the number by #10^p# i.e. multiply by #10^(-p)# (if moving decimal to right) or multiply the number by #10^q# (if moving decimal to left). In other words, it is written as #axx10^n#, where #1<=a<10# and #n# is an integer. To write #50000# in scientific notation, we will have to move the decimal point four points to left, which literally means dividing by #10^4#. Hence in scientific notation #50000=5xx10^4# (note that as we have moved decimal four points to left and thus divided by #10^4#, we are multiplying by #10^4# to compensate.

Levi Adams · Answer

undefined $ 50000 $ in scientific notation is $ 5 \times 10^4 $.