How do you express $1,902,500,000$ in scientific notation?

Question

3297 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-01-15T14:59:02

We need to move the decimal point 9 places to the left so the exponent for the 10s term will be positive:

$1, 902, 500, 000 = 1.9025 xx 10^9$

Answer 2 · 2018-01-15T16:00:59

$1.902500000xx10^9$

Demonstrating what is happening in stages until we end up at the target format.

Note that $10^0=1$ so as an example: $3xx10^0=3xx1=3$

$1,902,500,000 color(white)("d") ->color(white)("d") color(green)(1902500000color(red)())xx10^0$

$color(green)(1902500000color(red)())xx10^0$

$color(green)(190250000color(red)(.0))xx10^1$

$color(green)(19025000color(red)(.00))xx10^2$

$color(green)(1902500color(red)(.000))xx10^3$

$color(green)(190250color(red)(.0000))xx10^4$

$color(green)(19025color(red)(.00000))xx10^5$

$color(green)(1902color(red)(.500000))xx10^6$

$color(green)(190color(red)(.2500000))xx10^7$

$color(green)(19color(red)(.02500000))xx10^8$

$color(green)(1color(red)(.902500000))xx10^9color(blue)( larr" The target format")$

How do you express 1,902,500,0001,902,500,000 in scientific notation?