Answer:
1) Option 3
2) Option 1
3) Option 2
Step-by-step explanation:
To find : Match each number in scientific notation with the number written in standard form and in a step by step process.
Solution :
From scientific to standard we expand the power of 10.
1) ![6.82\times 10^7](https://tex.z-dn.net/?f=6.82%5Ctimes%2010%5E7)
Remove decimal and open the power,
![6.82\times 10^7=\frac{682}{100}\times 10000000](https://tex.z-dn.net/?f=6.82%5Ctimes%2010%5E7%3D%5Cfrac%7B682%7D%7B100%7D%5Ctimes%2010000000)
![6.82\times 10^7=68200000](https://tex.z-dn.net/?f=6.82%5Ctimes%2010%5E7%3D68200000)
Therefore,
Match with Option 3.
2) ![6.82\times 10^{-6}](https://tex.z-dn.net/?f=6.82%5Ctimes%2010%5E%7B-6%7D)
Remove decimal and open the power,
![6.82\times 10^{-6}=\frac{682}{100}\times \frac{1}{1000000}](https://tex.z-dn.net/?f=6.82%5Ctimes%2010%5E%7B-6%7D%3D%5Cfrac%7B682%7D%7B100%7D%5Ctimes%20%5Cfrac%7B1%7D%7B1000000%7D)
![6.82\times 10^{-6}=\frac{682}{100000000}](https://tex.z-dn.net/?f=6.82%5Ctimes%2010%5E%7B-6%7D%3D%5Cfrac%7B682%7D%7B100000000%7D)
Therefore,
Match with Option 1.
3) ![6.82\times 10^6](https://tex.z-dn.net/?f=6.82%5Ctimes%2010%5E6)
Remove decimal and open the power,
![6.82\times 10^6=\frac{682}{100}\times 1000000](https://tex.z-dn.net/?f=6.82%5Ctimes%2010%5E6%3D%5Cfrac%7B682%7D%7B100%7D%5Ctimes%201000000)
![6.82\times 10^6=6820000](https://tex.z-dn.net/?f=6.82%5Ctimes%2010%5E6%3D6820000)
Therefore,
Match with Option 2.
Let Cedric's age be c
tyshon= 3c-3
3c-3 +c =3c+c-3 = 4c-3
4c-3=57
4c=60
c=15
tyshon=15×3-3 = 42
The value of this equation is: 4
Answer: 4
Answer:
Yes
Step-by-step explanation:
It's just like adding fractions where you have to find the common denominator so the fractions can be subtracted.
<u>Example</u>
<u />![\displaystyle \frac{1}{2}-\frac{1}{3}=\frac{1*3}{2*3}-\frac{2*1}{2*3}=\frac{3}{6}-\frac{2}{6}=\frac{1}{6}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B2%7D-%5Cfrac%7B1%7D%7B3%7D%3D%5Cfrac%7B1%2A3%7D%7B2%2A3%7D-%5Cfrac%7B2%2A1%7D%7B2%2A3%7D%3D%5Cfrac%7B3%7D%7B6%7D-%5Cfrac%7B2%7D%7B6%7D%3D%5Cfrac%7B1%7D%7B6%7D)
Answer: 620
Step-by-step explanation:
$40 x 5.5 hrs = $220 This means that she earned $220 tutoring the first student.
$40 x 10 hrs = $400 She earned $400 tutoring the second student.
$220 + $400 = $620 She earned $620 in total that week.