How do we write 1347 in scientific notation?

2 Answers
Shwetank Mauria
Sep 14, 2016

1347=1.347xx10^3

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 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 1347 in scientific notation, we will have to move the decimal point three points to left, which literally means dividing by 10^3.

Hence in scientific notation 1347=1.347xx10^3 (note that as we have moved decimal three points to left and thus divided by 10^3, we are multiplying by 10^3 to compensate

Tony B
Sep 18, 2016

1.347xx10^3

Explanation:

Building in steps so that you can see what is going on:

Given:" "1347

1347 -= 134.7xx10
1347 -=13.47xx10xx10
1347-=1.347xx10xx10xx10

1347 -= 1.347xx10^3

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