Question

Calvin practiced converting standard notation to scientific notation by completing the 10 problems

Answer 1

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 = $7.645*10^7$

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 = $3.27*10^{-4}$

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 = $1.16*10^11$

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 = $2.4*10^{-2}$

7. 100

There are just 2 zeros.

Therefore, the exponent of 10 = 2 not 3.

correct scientific notation = $10^2$

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 = $9*10^5$

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 = $6.33*10^{-3}$