Question

directions: circle all the forms in correct scientific notation. rewrite any incorrect form in correct scientific notation.
123×10³=
9.3×10⁴=
1.871×10¹⁰=
1.48×10⁶=
42.5×10¹=
8.0729×10¹³=

Explanation:

Step1: Recall scientific notation rules

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

Step2: Check \(123\times10^{3}\)

Since \(123\gt10\), rewrite it. \(123\times10^{3}=1.23\times10^{2}\times10^{3}=1.23\times 10^{5}\)

Step3: Check \(9.3\times10^{4}\)

Here \(1\leqslant9.3\lt10\), so it is in correct scientific notation.

Step4: Check \(1.871\times10^{10}\)

Since \(1\leqslant1.871\lt10\), it is in correct scientific notation.

Step5: Check \(1.48\times10^{6}\)

Since \(1\leqslant1.48\lt10\), it is in correct scientific notation.

Step6: Check \(42.5\times10^{1}\)

Since \(42.5\gt10\), rewrite it. \(42.5\times10^{1}=4.25\times10^{1}\times10^{1}=4.25\times10^{2}\)

Step7: Check \(8.0729\times10^{13}\)

Since \(1\leqslant8.0729\lt10\), it is in correct scientific notation.

Answer:

Circle \(9.3\times10^{4}\), \(1.871\times10^{10}\), \(1.48\times10^{6}\), \(8.0729\times10^{13}\). Rewrite \(123\times10^{3}\) as \(1.23\times10^{5}\) and \(42.5\times10^{1}\) as \(4.25\times10^{2}\)