Question

lesson practice
write each number in scientific notation.
a. 1,234,000.
b. 0.0306.

Explanation:

Step1: Recall scientific notation rules

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

Part a: 1,234,000

Step2: Move decimal to get \(a\)

Move the decimal point 6 places left to get \(a = 1.234\), so \(n = 6\).
Thus, \(1,234,000=1.234\times10^{6}\).

Part b: 0.0306

Step3: Move decimal to get \(a\)

Move the decimal point 2 places right to get \(a = 3.06\), so \(n=- 2\) (since we moved right, \(n\) is negative).
Thus, \(0.0306 = 3.06\times10^{-2}\).

Answer:

a. \(\boldsymbol{1.234\times10^{6}}\)
b. \(\boldsymbol{3.06\times10^{-2}}\)