Significant Figures Quiz
1. The problem asks to identify the correct definition of significant figures.
Answer C is correct: "The first non-zero digit and all the digits that follow" because significant figures include all digits starting from the first non-zero digit.
2. Counting the number of significant figures in 0.00564.
There are three significant figures (5, 6, 4) because leading zeros are not significant.
Answer: B (3)
3. Identifying the least significant figure in the number 7.502.
Digits: 7 (most significant), 5, 0, 2 (least significant digit is the rightmost digit).
Answer: D (2)
4. Find the number with 4 significant figures.
A. 0.0120 has 3 significant figures (1, 2, and trailing zero).
B. 1200 is ambiguous without a decimal; often 2 significant figures.
C. 0.00012 has 2 significant figures.
D. 120.0 has 4 significant figures because trailing zero after decimal is significant.
Answer: D (120.0)
5. Convert $3.25 \times 10^{4}$ to standard form:
$3.25 \times 10^{4} = 32500$
Answer: C (32500)
6. Number of significant figures in 700040.
Assuming no decimal shown, trailing zeros before non-zero digit count.
Digits: 7, 0, 0, 0, 4, 0
Here, zero between 7 and 4 are significant, trailing zero after 4 is significant.
Count: 6
Answer: D (6)
7. Standard form of $5.6 \times 10^{-3}$:
Move decimal 3 places left:
$0.0056$
Answer: B (0.0056)
8. Addition $7.452 + 3.18$ rounded to three significant figures.
Sum: $7.452 + 3.18 = 10.632$
Rounding to 3 significant figures: $10.6$
Answer: A (10.6)
9. Convert $9.75 \times 10^{-2}$ to standard form:
Move decimal 2 places left:
$0.0975$
Answer: A (0.0975)
10. Product of $2.3 \times 10^{3}$ and $1.5 \times 10^{-2}$:
Multiply numbers: $2.3 \times 1.5 = 3.45$
Add exponents: $3 + (-2) = 1$
So product: $3.45 \times 10^{1} = 34.5$
Answer in scientific notation: $3.45 \times 10^{1}$ (not listed), closest answer is B (34.5 x 10-3) which is incorrect.
Re-examining options, actual product is $3.45 \times 10^{1}$, none match perfectly.
So the correct scientific notation is $3.45 \times 10^{1}$, but answer closest by magnitude is B if considering format error.
Final answers:
1: C
2: B
3: D
4: D
5: C
6: D
7: B
8: A
9: A
10: None perfectly match; correct product is $3.45 \times 10^{1}$.