Write the following number in scientific notation
450,000,000
4.5 x 108
Write the following number in standard form
2.54 x 104
25,400
What is scientific notation?
It is a way to make a very large number or very small number with a lot of zeros into a small number using the ax10^b form.
Write the following number in scientific notation
4,000,000,000
4x109
Write the following number in standard form
6.2 x 107
62,000,000
In the formula a x 10b, what does the letter b stand for?
b represents the exponent
Write the following number in scientific notation
.000000632
6.32 x 10-7
Write the following number in standard form
3 x 10-5
0.00003
When writing in scientific notation, how do you know how much you need to move the decimal?
You move the decimal the same places as the exponent number.
Write the following number in scientific notation
.00000345
3.45 x 10-6
Write the following number in standard form
7.65 x 10-6
0.00000765
What does it mean when an exponent is positive?
the number is large and we move the decimal place to the right
write the following number in scientific notation form
0.0000234
2.34 x 10-5
write the following number in standard form
1.0 x 10-5
0.00001
What does it mean when the exponent is negative?
The number is small and we move the decimal place to the left.