Scientific Notation??

Question

I don't need answers, I need help and an explanation. Also,can you check if these 2 are right?
For example
1) .560 = 10^2
2)1.01 * 10^2 = 101

Answer 1

The first one is incorrect, but the second one is correct.

First of all, lets take a look at a number below 0, such as:
.0075
In scientific notation, you want to make it so that there is exactly one digit to the left of the decimal point (something like 7.5 ). Currently, there are 0 to the left and 4 to the right.

Since your number is below 1, think negative. You will have 10 raised to the negative something.

.0075, count out by hand how many digits you have to move the decimal point over to the right to get it to be 7.5.
If you counted correctly, it should be 3 digits over, there fore it will be 10^-3

Final answer would be 7.5 * 10^-3

On the other hand, for numbers greater than one, you have to move the decimal point to the left until there is only one digit to the left of the decimal. For example:

7500 would become 7.5 * 10^3

Answer 2

its easy. anything X10 brings the decimal over 1 to the right. anything X100 brings it over twice, which is the principle of scientific notation. 10^3 is 1000 which brings the decimal over 3 places, so 1.2X10^3 is 1200. The number you are multiplying has to be between 1 and 10, and if the power is a negative, the decimal moves the opposite way. And #1 has nothing to do with anything. .560 doesnt equal 100. good luck

Answer 3

0.560 = 5.6*10^-1

1.01*10^2 = 101 is correct

For scientific notation, you take the first couple of digits of your number, then arrange it so that there is one digit in the ones column (all scientific notation is written as between 1.00 and 9.9999999), and the rest in the decimals places, then you count how many steps you'd have to move the decimal point to match the orignial number (the powers of ten). If the number is between 0 and 1 (a fraction), the exponent will be negative.

Examples:
345678912 = 3.45678912x10^8
0.00300456 = 3.00456x10^-3

Hope that helps.

Answer 4

The first one is wrong the second correct.

Remember back in primary school units, tens, hundreds right?

In SN there are only units.

If we move the decimal point back ie from hundreds we are moving it 2 places so the *10^ goes to 2

The same for the other way. if you move three places forwards you have 10^-3

Answer 5

when using s. n. you want only one number to be before the decimal point and all others after it... then dow many times you move it is you times 10 to the blank power....#1 the number is smaller than one so you move it in a negitive direction ex. .34002 = 3.4002 *10^-1
#2 is right.