Question

each given standard notation is converted to scientific notation and vice versa. determine which representation is correct by typing a, b or neither into the white rectangle. 79,600,000 a: 7.96 x 10^6 b: 7.96 x 10^7 9.4 x 10^3 a: 0.0094 b: 94,000 0.00000312 a: 3.12 x 10^-6 b: 3.12 x 10^8 5.035 x 10^-1 a: 50,350 b: 0.0005035 1,207,000 a: 1.2 x 10^4 b: 1.207 x 10^3 6 x 10^7 a: 60,000,000 b: 0.0000006

Explanation:

Step1: Convert 79,600,000 to scientific - notation

Move the decimal 7 places to the left, so it is $7.96\times 10^{7}$. So for 79,600,000, the correct representation is B.

Step2: Convert $9.4\times 10^{3}$ to standard - notation

$9.4\times 10^{3}=9.4\times1000 = 9400$. Neither A (0.0094) nor B (94,000) is correct, so the answer is Neither.

Step3: Convert 0.00000312 to scientific - notation

Move the decimal 6 places to the right, so it is $3.12\times 10^{-6}$. So for 0.00000312, the correct representation is A.

Step4: Convert $5.035\times 10^{-1}$ to standard - notation

$5.035\times 10^{-1}=\frac{5.035}{10}=0.5035$. Neither A (50,350) nor B (0.0005035) is correct, so the answer is Neither.

Step5: Convert 1,207,000 to scientific - notation

Move the decimal 6 places to the left, so it is $1.207\times 10^{6}$. Neither A ($1.2\times 10^{4}$) nor B ($1.207\times 10^{3}$) is correct, so the answer is Neither.

Step6: Convert $6\times 10^{7}$ to standard - notation

$6\times 10^{7}=6\times10000000 = 60000000$. So for $6\times 10^{7}$, the correct representation is A.

Answer:

B
Neither
A
Neither
Neither
A