Question

complete the table by indicating the number of sig fig and writing the measurement in scientific notation.

	measurement	number of sig fig	scientific notation
2	0.0284 km	3	2.84 x 10⁻²km
3	50290 m	4	5.029 x 10⁴m
4	0.003068 m	4	3.068 x 10⁻³m
5	40.6 m	3	4.06 x 10¹m
6	46 m	2	4.6 x 10¹m
7	750 m	2	7.5 x 10²m
8	75,000 m	2	7.5 x 10⁴m
9	75 m	2	7.5 x 10¹m
10	75.00 m	4	7.5000 x 10¹m
11	10 cm	1	1 x 10¹cm
12	75,000.0 m	6	7.50000 x 10⁴m

questions - product - contact

14	42000 ms	3
15	8.00230 cm	4

desk 1

Explanation:

Step1: Identify significant figures

Significant figures are non - zero digits and zeros between non - zero digits, leading zeros are not significant, and trailing zeros are significant if there is a decimal point.

Step2: Convert to scientific notation

Scientific notation is of the form $a\times10^{n}$, where $1\leq a < 10$ and $n$ is an integer. For example, for a number $x$, we move the decimal point to get $a$ and count the number of places moved to get $n$. If the decimal point is moved to the left, $n$ is positive, if to the right, $n$ is negative.

For example, for $2804$ m:

• There are 4 non - zero digits, so 4 significant figures.
• To convert to scientific notation, we move the decimal point 3 places to the left: $2804=2.804\times 10^{3}$ m

For $0.0284$ km:

• Leading zeros are not significant, so 3 significant figures.
• Move the decimal point 2 places to the right: $0.0284 = 2.84\times10^{- 2}$ km

Answer:

The table is already filled correctly with the number of significant figures and scientific notation for each measurement as shown in the reference table.