A. 4.79
Incorrect. This number does not have the same value as 0.000479.
B. 479
Incorrect. This number does not have the same value as 0.000479.
C. 4.79 × 10-4
Correct! This number has the same value as 0.000479 and follows the correct format for scientific notation.
D. 4.79 × 104
Incorrect. While the decimal did move 4 places, the exponent should be the opposite sign.
How should 7.56 × 10-3 be expressed in standard form?
A. 7560
Incorrect. The exponent on the power of 10 is a negative number, so you should move the decimal to the left.
B. .00756
Correct!
C. -22.68
Incorrect. You multiplied the coefficient by the exponent. That is not the procedure for converting a number from scientific notation to standard form.
D. -2.52
Incorrect. You divided the coefficient by the exponent. That is not the procedure for converting a number from scientific notation to standard form.
Calculate the answer to the following problem.
(4.4 × 106) × (3.9 × 104)
A. 1.716 × 1010
Incorrect. You forgot to adjust the exponent when you moved the decimal in your final answer.
B. 1.716 × 102
Incorrect. You subtracted the exponents. This is a multiplication problem so you should have added the exponents.
C. 1.716 × 1024
Incorrect. You multiplied the exponents. This is a multiplication problem so you should have added the exponents.
D. 1.716 × 1011
Correct!
Calculate the answer to the following problem.
(6.6 × 105) + (3.9 × 102)
A. 10.6 × 107
Incorrect. You did not move the decimal point in the coefficient to adjust the exponents. Remember, when adding or subtracting numbers in scientific notation, the exponents must be the same.
B. 6.6039 × 105
Correct!
C. 6.6039 × 107
Incorrect. You added the exponents. Remember when adding or subtracting numbers in scientific notation, the exponents must be the same. Once you adjust the exponents so that they are the same, you will use that common exponent in your answer.
D. 10.5 × 1010
Incorrect. You did not move the decimal point in the coefficient to adjust the exponents. Remember, when adding or subtracting numbers in scientific notation, the exponents must be the same.