How do you write #3.77 times 10^4 # in standard notation?

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#.

In other words, in scientific notation, a number is written as #axx10^n#, where #1<=a<10# and #n# is an integer and #1<=a<10#.

To write the number in normal or standard notation one just needs to multiply by the power #10^n# (or divide if #n# is negative). This means moving decimal #n# digits to right if multiplying by #10^n# and moving decimal #n# digits to left if dividing by #10^n# (i.e. multiplying by #10^(-n)#).

In the given case, as we have the number as #3.77xx10^4#, we need to move decimal digit to the right by four points. For this, let us write #3.77# as #3.770000# and moving decimal point four points to right means #37700.00#

Hence in standard notation #3.77xx10^3=37700#

#color(brown)(3.77xx10=37.7)color(blue)(" "larr" "3.77xx10^1=37.7)#

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#color(brown)(3.77xx10xx10=377color(blue)(" "larr 3.77xx10^2=377)#

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#color(brown)(3.77xx10xx10xx10=3770color(blue)(" "larr 3.77xx10^3=3770)#

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#color(brown)(3.77xx10xx10xx10xx10=37700color(blue)(" "larr 3.77xx10^4=37700)#