21,000,000 and 70,000
move the decimal to the right (only if positive) based on the power. so for the first one I moved the decimal to the right 7 times
hope this helped:)
Multiplication can be done in the usual way, then the number converted to scientific notation. Scientific notation does not apply to the variables.
If you write the numbers in scientific notation to start, then do the multiplication, the effect is virtually the same: an adjustment is needed in the product to get it back to scientific notation.
(7)(4) = (7×10⁰)(4×10⁰) = 7·4×10⁰⁺⁰ = 28×10⁰ = 2.8×10¹
factorise 1/10^2 out of both.
add 1/4.5 to 1/9.4 common denominator 4.5x9.4
multiply result by 1/10^2
find reciprocal of result
for example if you gave 2x ten to the power of 3, that is scientific notation. So if you take it out of scientific notation you hwv3 2000.
3 is amount of times you move to decimal to the right. So there is an invisible decimal after 2 so that gives you 2.0 So you take that decimal point and move it to the right three times. then you have 2000. but if you had 2× 10 to the power of 4, you would move the decimal to the right 4 times.
Scientific notation is about how to write numbers in a standard way.
a number is always written as #. x 10ⁿ, where #.### is a number between -9 and +9.
So 3 is written as 3 x 10⁰
33 is written as 3.3 x 10¹
Scientific notation is of the form a* 10^b where a is a number between 1 and less than 10
536,000 Move the decimal 5 places to the left. That 5 becomes the exponent and is positive since we moved it to the left
536,000 = 5.36 * 10 ^5
321 million = 321,000,000 Move the decimal 8 places to the left. That 8 becomes the exponent and is positive since we moved it to the left
3.21 * 10 ^8
3.21 * 10^8
5.36* 10 ^5
Divide the numbers
3.21 / 5.36 =.59888
Subtract the exponents
10^(8-5) = 10 ^3
Change to scientific notation
Move the decimal one place to the right so subtract 1 from the exponent
Rounding since we are asked about
6 * 10 ^2
The population is about 6 * 10^2 times greater for the US than for Tuscon Arizona
Scientific notation is a way of expressing numbers that are too big or too small to be conveniently written in decimal form.
For example, instead of writing 0.0000000056, we write 5.6 x, 10^-9