Final answer:
The correct answer is option b) 6.432×10⁶. To determine which values are equivalent to the given expression in scientific notation, compare the coefficients and exponents.
Step-by-step explanation:
The correct answer is option b) 6.432×10⁶
. To determine which values are equivalent to the given expression in scientific notation, we need to compare the coefficients (the numbers before the multiplication sign) and the exponents. In this case, the coefficient is 6.432, and the exponent is 6. All the other options have different coefficients or exponents, so they are not equivalent. It's important to note that in scientific notation, the coefficient can have any nonzero value, but it is typically written as a decimal between 1 and 9.999... To express a value in scientific notation, you can move the decimal point until there is only one non-zero digit to the left, and then count the number of places you moved the decimal point to determine the exponent.
The student is asking to evaluate 333,999,500,000 ÷ 0.00000000003396 and express the answer in scientific notation. First, we rewrite the numbers in scientific notation: 333,999,500,000 becomes 3.339995 × 1011 and 0.00000000003396 becomes 3.396 × 10-11. The division of these two numbers in scientific notation is (3.339995 × 1011) ÷ (3.396 × 10-11). We divide the coefficients and subtract the exponents of 10: 3.339995 ÷ 3.396 = 0.983327 and 11 - (-11) = 22. The result in scientific notation is approximately 9.83327 × 1022, which corresponds to option b.