Question

which number is equivalent to the expression shown?
\\(\frac{1.6808 \times 10^{6}}{4.4 \times 10^{3}}\\)
a. 7,395.52
b. 382
c. 0.00739552
d. 0.000382

Explanation:

Step1: Divide the coefficients

First, divide the coefficients \(1.6808\) and \(4.4\). So, \(\frac{1.6808}{4.4}=0.382\)

Step2: Divide the powers of 10

For the powers of 10, use the rule \( \frac{10^{a}}{10^{b}} = 10^{a - b}\). Here, \(a = 6\) and \(b = 3\), so \(\frac{10^{6}}{10^{3}}=10^{6 - 3}=10^{3}\)

Step3: Multiply the results

Now, multiply the results from Step 1 and Step 2: \(0.382\times10^{3}\)
To convert \(0.382\times10^{3}\) to standard form, we move the decimal point 3 places to the right: \(0.382\times10^{3}=382\)

Answer:

B. 382