How do you write 2.74times10^-52.74×105 in standard form?

1 Answer
Sep 9, 2016

2.74xx10^(-5)=0.00002742.74×105=0.0000274

Explanation:

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 1010.

In other words, in scientific notation, a number is written as axx10^na×10n, where 1<=a<101a<10 and nn is an integer and 1<=a<101a<10.

To write the number in normal or standard notation one just needs to multiply by the power 10^n10n (or divide if nn is negative). This means moving decimal nn digits to right if multiplying by 10^n10n and moving decimal nn digits to left if dividing by 10^n10n (i.e. multiplying by 10^(-n)10n).

In the given case, as we have the number as 2.74xx10^(-5)2.74×105, we need to move decimal digit to the left by five points. For this, let us write 2.742.74 as 000002.74000002.74 and moving decimal point five points to left means 0.00002740.0000274

Hence in standard notation 2.74xx10^(-5)=0.00002742.74×105=0.0000274