Question

wilson, makyla
dtal- ch- term 1 - unit 1 assessment - 25-26
2 of 26
how many significant figures does the following measurement have?
0.02034g
6
3
5
4

Explanation:

Step1: Recall significant figure rules

Leading zeros (zeros before the first non - zero digit) are not significant. Non - zero digits and zeros between non - zero digits are significant.
For the number \(0.02034\)g:

• The leading zeros (the two zeros before 2) are not significant.
• The digit 2 is significant.
• The zero between 2 and 3 is significant.
• The digit 3 is significant.
• The digit 4 is significant.

Step2: Count the significant figures

Count the significant digits: 2, 0, 3, 4. So there are 4 significant figures? Wait, no, wait. Wait, \(0.02034\): let's re - examine. The first non - zero digit is 2. Then the digits are 2, 0, 3, 4. Wait, that's four? Wait, no, wait: 0.02034. Let's write it in scientific notation: \(2.034\times10^{- 2}\). In scientific notation, the significant figures are the digits in the coefficient. So 2, 0, 3, 4. So that's 4 significant figures. Wait, but the options have 3,4,5,6. Wait, maybe I made a mistake. Wait, 0.02034: the leading zeros (two) are not significant. Then the 2 is significant, the 0 between 2 and 3 is significant, 3 is significant, 4 is significant. So that's 4 significant figures. Wait, but let's check again. The number is 0.02034. Let's list the digits:

• Position 1: 0 (leading, not significant)
• Position 2: 0 (leading, not significant)
• Position 3: 2 (significant)
• Position 4: 0 (between non - zeros, significant)
• Position 5: 3 (significant)
• Position 6: 4 (significant)

Wait, no, the number is 0.02034, which has five digits after the decimal? Wait, no, 0.02034 is 0.02034, so the digits are 0 (before decimal), 0, 2, 0, 3, 4 (after decimal). Wait, no, the number is \(0.02034\), which is equal to \(2.034\times10^{-2}\). The coefficient \(2.034\) has four significant figures? Wait, no, 2.034 has four? Wait, 2, 0, 3, 4: four digits. Wait, but maybe I miscounted. Wait, 0.02034: the first non - zero is 2, then 0, 3, 4. Wait, that's four? Wait, no, 2, 0, 3, 4: that's four significant figures. Wait, but the options include 3,4,5,6. Wait, maybe the number is 0.02034, let's count again. Leading zeros: 2 (the two zeros before 2). Then the digits: 2 (1st sig fig), 0 (2nd, because it's between 2 and 3), 3 (3rd), 4 (4th). So that's 4 significant figures.

Answer:

The number of significant figures in \(0.02034\)g is 4, so the correct option is the one with 4 (assuming the option with 4 is one of the choices, like if the options are O 6, O 3, O 5, O 4, then the answer is O 4).