Question

convert the following to scientific notation: 5,050 = _______
5.5×10²
5.05 × 10³
50.5 × 10²
0.505 × 10⁴

Explanation:

Step1: Recall scientific notation rules

Scientific notation is in the form \(a\times10^{n}\), where \(1\leq|a|\lt10\) and \(n\) is an integer.

Step2: Convert 5050 to scientific notation

For 5050, we move the decimal point 3 places to the left to get \(a = 5.05\) (since \(5050=5.05\times1000\) and \(1000 = 10^{3}\)). So \(5050=5.05\times10^{3}\).

Now let's check the options:

• Option 1: \(5.5\times10^{2}=550

eq5050\)

• Option 2: \(5.05\times10^{3}=5050\) (matches)
• Option 3: \(50.5\times10^{2}=5050\), but \(50.5\) does not satisfy \(1\leq|a|\lt10\)
• Option 4: \(0.505\times10^{4}=5050\), but \(0.505\) is less than 1, and we can rewrite it as \(5.05\times10^{3}\) (the standard form has \(1\leq|a|\lt10\))

Answer:

B. \(5.05\times 10^{3}\) (assuming the blue option is labeled B, as it's the correct one with \(5.05\times10^{3}\))