275,159 views
42 votes
42 votes
How can you turn any number into a science notation?
Please help me it would mean the world!

User Steve Lane
by
3.7k points

2 Answers

17 votes
17 votes

Consider the 4-digit number abcd. Putting it in scientific notation is a matter of moving the (invisible) decimal point to the left until you have a number between 1 and 10, then multiplying this number by an appropriate power of 10, equal to the number of positions that the point was moved.

In this case,

abcd = abcd . = a . bcd × 10³

The number of underlined digits is the number of positions you have to move the decimal point. The number a . bcd is called the mantissa.

For a number already containing a decimal point, like abc . def, we do the same thing:

abc . def = a . bcdef × 10²

For a number smaller than 1, such as 0.000abcd, we have to move the decimal to the right:

0.000abcd = 0000a . bcd = a . bcd × 10⁻⁴

As mentioned earlier, the mantissa is typically supposed to be between 1 and 10, which means that if you start with a number larger than 1, that number in scientific notation will involve multiplication by a positive power of 10. On the other hand, if you start with a number smaller than 1, the power of 10 will be negative. You can see this is true for each of the examples I've used here.

User Pancake
by
3.3k points
19 votes
19 votes

Answer/Step-by-step explanation:

To turn any number into a science notation is first write the non-zero digits, placing a decimal after the first non-zero digit. Then, you count the number of digits you need to move the beginning decimal to get to where your decimal is now. If you move the decimal to the left, then your power is positive.

[RevyBreeze]

User Hezbullah Shah
by
3.2k points