Calvin practiced converting standard notation to scientific notation by completing the 10 problems in the table shown. Unfortunately, his teacher noticed Calvin made mistakes on 7 out of the 10
problems. Find his mistakes and correct them in the second table below.
STANDARD NOTATION
SCIENTIFIC NOTATION
1) 76,450,000
7.645 x 10
2) 0.000327
3.27 x 104
3) 34,000
3.4 x 104
4) 116,000,000,000
1.16 x 10°
5) 0.024
24 x 10
6) 2,800
2.8 x 10
7) 100
1 x 10
8 0.0000099
9.9 x 10
9 C00,000
9 x 10
10) 0.00635
63.3 x 10
I

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 =

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 =

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 =

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 =

7. 100

There are just 2 zeros.

Therefore, the exponent of 10 = 2 not 3.

correct scientific notation =

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 =

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 =