Question

scientific notation
this is called scientific notation because its used a lot in science. for example, when we talk about the planets we often use scientific notation to describe their distance from the sun because those numbers are very big.
in science we also use scientific notation to measure things that are very small.
spiders green lacewings
bees ladybugs
planet distance (miles) scientific notation (miles)
mercury 36,000,000
venus 67,000,000
earth 92,960,000
mars 141,700,000
bug size (cm) scientific notation (cm)
spider 0.0037 3.7·10⁻³
lacewing 0.64
bee 0.4
ladybug 0.08

Explanation:

Step1: Recall scientific - notation form

Scientific notation is of the form $a\times10^{n}$, where $1\leqslant|a|\lt10$ and $n$ is an integer.

Step2: Convert distance of Mercury

For Mercury's distance $36000000$, move the decimal 7 places to the left. So, $36000000 = 3.6\times10^{7}$.

Step3: Convert distance of Venus

For Venus's distance $67000000$, move the decimal 7 places to the left. So, $67000000=6.7\times 10^{7}$.

Step4: Convert distance of Earth

For Earth's distance $92960000$, move the decimal 7 places to the left. So, $92960000 = 9.296\times10^{7}$.

Step5: Convert distance of Mars

For Mars's distance $141700000$, move the decimal 8 places to the left. So, $141700000=1.417\times 10^{8}$.

Step6: Convert size of Lacewing

For Lacewing's size $0.64$, move the decimal 1 place to the right. So, $0.64 = 6.4\times10^{-1}$.

Step7: Convert size of Bee

For Bee's size $0.4$, move the decimal 1 place to the right. So, $0.4=4\times10^{-1}$.

Step8: Convert size of Lady - bug

For Lady - bug's size $0.08$, move the decimal 2 places to the right. So, $0.08 = 8\times10^{-2}$.

Answer:

Planet	Distance (miles)	Scientific Notation (miles)
Venus	67000000	$6.7\times10^{7}$
Earth	92960000	$9.296\times10^{7}$
Mars	141700000	$1.417\times10^{8}$
Bug	Size (cm)	Scientific Notation (cm)
Spider	0.0037	$3.7\times10^{-3}$
Lacewing	0.64	$6.4\times10^{-1}$
Bee	0.4	$4\times10^{-1}$
Lady - bug	0.08	$8\times10^{-2}$