Answer/Step-by-step explanation:
The 7 problems Calvin made mistakes in are as follows:
1. 76,450,000
We are moving the decimal point to our left by 7 decimal places. Therefore, the exponent of 10 should be 7 not 8.
The correct scientific notation = ![7.645*10^7](https://tex.z-dn.net/?f=%207.645%2A10%5E7%20)
2. 0.000327
We move the decimal point to our right by 4 decimal places. Since we are counting to our right, the exponent of 10 should be -4 not 4.
The correct scientific notation = ![3.27*10^{-4}](https://tex.z-dn.net/?f=%203.27%2A10%5E%7B-4%7D%20)
4. 116,000,000,000
Number of decimal places moved to our left = 11
The exponent of 10 should be 11 not 9.
The correct scientific notation = ![1.16*10^11](https://tex.z-dn.net/?f=%201.16%2A10%5E11%20)
5. 0.024
Number of decimal places moved to our right = 2
Since we are moving to our right, exponent of 10 = -2.
Calvin made a mistake here by not placing a decimal point in the first number after the last 0 to our right.
The correct scientific notation = ![2.4*10^{-2}](https://tex.z-dn.net/?f=%202.4%2A10%5E%7B-2%7D%20)
7. 100
There are just 2 zeros.
Therefore, the exponent of 10 = 2 not 3.
correct scientific notation = ![10^2](https://tex.z-dn.net/?f=%2010%5E2%20)
9. 900,000
Number of decimal places moved to our left = 5
Since we are moving to the left, the exponent of 10 = 5 not -5
The correct scientific notation = ![9*10^5](https://tex.z-dn.net/?f=%209%2A10%5E5%20)
10. 0.00633
Number of decimal places moved to our right = 3
The exponent of 10 = -3
Calvin made a mistake by wrongly placing the decimal point.
The correct scientific notation = ![6.33*10^{-3}](https://tex.z-dn.net/?f=%206.33%2A10%5E%7B-3%7D%20)