Question

write $6 \times 10^4$ in standard notation.

Explanation:

Step1: Understand scientific notation

Scientific notation \(a\times10^{n}\) (where \(1\leqslant|a|\lt10\)) converts to standard notation by moving the decimal point \(n\) places. For \(10^{4}\), \(n = 4\), so we move the decimal in \(6\) (which is \(6.0\)) 4 places to the right.

Step2: Move the decimal

Starting with \(6.0\), moving the decimal 4 places right: \(6.0
ightarrow60.0
ightarrow600.0
ightarrow6000.0
ightarrow60000\).

Answer:

60000