Define significant figures. Write significant figures of 1. 36.7 2. 0.006606 3. 2002 4. 3064900000

Understand the Problem

The question is asking to define significant figures and then identify the significant figures for four given numbers. This involves explaining the concept of significant figures and applying it to the specific values listed.

Answer

1. 3 2. 4 3. 4 4. 10

Steps to Solve

Define Significant Figures
Significant figures are the digits in a number that contribute to its precision. This includes all non-zero digits, any zeros between significant digits, and trailing zeros in a decimal number. Leading zeros are not counted as significant figures.
Identify Significant Figures for 36.7
The number 36.7 has three significant figures: '3', '6', and '7' are all non-zero digits.
Identify Significant Figures for 0.006606
In this number, the significant figures start after the leading zeros. The digits '6', '6', '0', and '6' are significant, giving a total of four significant figures.
Identify Significant Figures for 2002
All four digits in 2002 are significant figures because there are no leading zeros, and all written digits contribute to its precision.
Identify Significant Figures for 3064900000
In this number, the significant figures are '3', '0', '6', '4', '9', and '0' (the last zero counts because it comes after a decimal representation). This totals to ten significant figures.

Significant figures of 36.7: 3
Significant figures of 0.006606: 4
Significant figures of 2002: 4
Significant figures of 3064900000: 10

More Information

Significant figures are important in scientific measurements as they indicate the precision of the numbers involved. The more significant figures a number has, the more precise the measurement is considered to be.

Tips

Miscounting leading zeros as significant figures. To avoid this, remember that leading zeros are not counted.
Assuming that all zeros in a whole number are significant. Only trailing zeros in a decimal are significant.

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