Convert the following standard notation values into scientific...

Question

Convert the following standard notation values into scientific notation.

a) 377,000

b) 0.000101

c) 707.82

Accepted Answer

So now let's take a look at the following practice question. Here it says convert the following standard notation values into scientific notation. So for the first one, we have 377,000. We can assume that we have a decimal here at the end and we just have to move it enough spaces in order to make our coefficient a value between 110. So we move it over 1, 2, 3, 4, 5. We stop there because that gives me 3.77, which is a number between 110. Now I moved it over 5 spaces to make the coefficient smaller. If I make the coefficient smaller, that means that my exponent becomes larger or it increases. So here we moved over 5 spaces to make coefficients smaller, so my coefficient my exponent increases by 5. So it's 3.77 0 times 10 to the 5. For the next one, here is our decimal point here. Again, we need to move it enough spaces to make a coefficient of value between 110, so I move it 1, 2, 3, 4. Now I am making the coefficient larger, so it means my exponent has to become smaller, has to decrease. And we moved it 4 spaces, so this becomes negative 4. And then finally, we have 707.82. We're gonna move this in order to decrease my coefficient to make it a value between 17. So now it's 7.0782 times 10. Now I'm making the coefficient decrease, which means the exponent has to increase. So I moved it 2 spaces, so this is a positive 2. So that's 7.0782 times 10 to the 2. So just remember, scientific notation is just a way of making very large or very small numbers more manageable and easier to easier to use. Sometimes, though, it's important to know how to do standard notation as well, because, sometimes, scientific notation isn't needed. Take to heart some of these questions that we've done, and you'll be able to convert between scientific notation and standard notation quite easily.

Struggling with Introduction to Chemistry?

Convert the following standard notation values into scientific notation.
a) 377,000
b) 0.000101
c) 707.82

Watch next

Scientific Notation practice set

Struggling with Introduction to Chemistry?

Convert the following standard notation values into scientific notation.a) 377,000b) 0.000101c) 707.82

Watch next

Scientific Notation practice set

Convert the following standard notation values into scientific notation.
a) 377,000
b) 0.000101
c) 707.82