Final answer:
To evaluate the expression 333,999,500,000 ÷ 0.00000000003396, we express both numbers in scientific notation, divide their coefficients, and adjust the exponents, resulting in 9.831 × 10^21. To convert 6.022 × 10^23 to standard notation, we move the decimal point 23 places to the right, resulting in 602,200,000,000,000,000,000,000.
Step-by-step explanation:
To evaluate the expression 333,999,500,000 ÷ 0.00000000003396, we first convert these numbers to scientific notation. The number 333,999,500,000 can be expressed as 3.339995 × 1011 and the number 0.00000000003396 as 3.396 × 10-11. To divide these numbers, we divide their coefficients and subtract the exponent in the denominator from the exponent in the numerator:
Quotient = (3.339995 ÷ 3.396) × 10(11 - (-11)) = 0.9831 × 1022 = 9.831 × 1021 (adjusted the coefficient to the proper format of scientific notation).
To express the number 6.022 × 1023 in standard notation, simply move the decimal point 23 places to the right; this yields 602,200,000,000,000,000,000,000 or 6.022e+23 in standard notation.