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1. how many significant figures are there in 0.00340? a. 5 b. 2 c. 3 d.…

Question

  1. how many significant figures are there in 0.00340? a. 5 b. 2 c. 3 d. 4 2. which number has 4 significant figures? a. 0.0304 b. 3.000 c. 30,400 d. 0.00304 3. in the number 1.0050×10³, how many significant figures are present? a. 3 b. 4 c. 5 d. 6 4. how many significant figures are there in 10,000? a. 1 b. 2 c. 5 d. 6 5. which number contains 3 significant figures? a. 0.00230 b. 230,000 c. 0.002 d. 2.300 6. how many significant figures are in 0.001020? a. 2 b. 3 c. 4 d. 6 7. how many significant figures are in the scientific notation, 6.023×10²³? a. 3 b. 4 c. 23 d. 25 8. which number has the least number of significant figures? a. 0.023 b. 203.0 c. 0.02030 d. 20301 9. how many significant figures are in 100.00? a. 2 b. 3 c. 5 d. 6 10. which number has 5 significant figures? a. 0.02000 b. 20.000 c. 200.00 d. 0.0200001 11. in the measurement 0.00700 km, how many significant figures are there? a. 2 b. 3 c. 5 d. 7 12. how many significant figures are in 1,000,000? a. 1 b. 6 c. 7 d. 8 13. which has the same number of significant figures as 0.0040? a. 4.000 b. 0.004 c. 400.0 d. 0.040 14. how many significant figures are in 1.0200×10⁻⁴? a. 3 b. 4 c. 5 d. 6 15. which number has 2 significant figures? a. 0.020 b. 0.200 c. 2.00 d. 20.0 16. how many significant figures are in 10.00300? a. 5 b. 6 c. 7 d. 8 17. in the number 0.000304000, how many significant figures are present? a. 3 b. 4 c. 6 d. 9 18. which measurement has 4 significant figures? a. 0.0400 b. 400 c. 4000 d. 400.0 19. how many significant figures are in 100.100? a. 3 b. 4 c. 5 d. 6 20. which number contains the same number of significant figures as 2.0030? a. 20.0030 b. 200.30 c. 203.0 d. 20,030

Explanation:

Step1: Recall significant - figure rules

Non - zero digits are always significant. Leading zeros (zeros before non - zero digits) are not significant. Captive zeros (zeros between non - zero digits) are significant. Trailing zeros in a number with a decimal point are significant.

Step2: Analyze 0.00340

Leading zeros are not significant. Non - zero digits 3 and 4 are significant, and the trailing zero after 4 is significant. So, there are 3 significant figures.

Step3: Analyze each option in question 2

  • Option A: 0.0304 has 3 significant figures (3, 0, 4).
  • Option B: 3.000 has 4 significant figures (3, 0, 0, 0).
  • Option C: 30,400 may have 3 (if the zeros are just place - holders) or more with more context, but assuming standard rules without more info, it has 3 significant figures (3, 0, 4).
  • Option D: 0.00304 has 3 significant figures (3, 0, 4).

Step4: Analyze 1.0050×10³

In scientific notation, the significant figures are in the coefficient part. Here, 1, 0, 0, 5, 0 are significant, so there are 5 significant figures.

Step5: Analyze 10,000

Without a decimal point, it is assumed to have 1 significant figure (1).

Step6: Analyze each option in question 5

  • Option A: 0.00230 has 3 significant figures (2, 3, 0).
  • Option B: 230,000 may have 2 or more depending on context, but standardly 2 significant figures (2, 3).
  • Option C: 0.002 has 1 significant figure (2).
  • Option D: 2.300 has 4 significant figures (2, 3, 0, 0).

Step7: Analyze 0.001020

Leading zeros are not significant. 1, 0, 2, 0 are significant, so there are 4 significant figures.

Step8: Analyze 6.023×10²³

The coefficient 6.023 has 4 significant figures (6, 0, 2, 3).

Step9: Analyze each option in question 8

  • Option A: 0.023 has 2 significant figures (2, 3).
  • Option B: 203.0 has 4 significant figures (2, 0, 3, 0).
  • Option C: 0.02030 has 4 significant figures (2, 0, 3, 0).
  • Option D: 20301 has 5 significant figures (2, 0, 3, 0, 1).

Step10: Analyze 100.00

Trailing zeros after a decimal point are significant. So, 1, 0, 0, 0, 0 are significant, 5 significant figures.

Step11: Analyze each option in question 10

  • Option A: 0.02000 has 4 significant figures (2, 0, 0, 0).
  • Option B: 20.000 has 5 significant figures (2, 0, 0, 0, 0).
  • Option C: 200.00 has 5 significant figures (2, 0, 0, 0, 0).
  • Option D: 0.0200001 has 6 significant figures (2, 0, 0, 0, 0, 1).

Step12: Analyze 0.00700 km

Leading zeros are not significant. 7, 0, 0 are significant, 3 significant figures.

Step13: Analyze 1,000,000

Without a decimal point, it has 1 significant figure (1).

Step14: Analyze each option in question 13

  • Option A: 4.000 has 4 significant figures.
  • Option B: 0.004 has 1 significant figure.
  • Option C: 400.0 has 4 significant figures.
  • Option D: 0.040 has 2 significant figures, same as 0.0040.

Step15: Analyze 1.0200×10⁻⁴

The coefficient 1.0200 has 5 significant figures (1, 0, 2, 0, 0).

Step16: Analyze each option in question 15

  • Option A: 0.020 has 2 significant figures (2, 0).
  • Option B: 0.200 has 3 significant figures (2, 0, 0).
  • Option C: 2.00 has 3 significant figures (2, 0, 0).
  • Option D: 20.0 has 3 significant figures (2, 0, 0).

Step17: Analyze 10.00300

1, 0, 0, 0, 3, 0, 0 are significant, 7 significant figures.

Step18: Analyze 0.000304000

Leading zeros are not significant. 3, 0, 4, 0, 0, 0 are significant, 6 significant figures.

Step19: Analyze each option in question 18

  • Option A: 0.0400 has 3 significant figures (4, 0, 0).
  • Option B: 400 has 1 significant figure (4) without a decimal point.
  • Option C: 4000 has 1 signif…

Answer:

  1. C. 3
  2. B. 3.000
  3. C. 5
  4. A. 1
  5. A. 0.00230
  6. C. 4
  7. B. 4
  8. A. 0.023
  9. C. 5
  10. B. 20.000
  11. B. 3
  12. A. 1
  13. D. 0.040
  14. C. 5
  15. A. 0.020
  16. C. 7
  17. C. 6
  18. D. 400.0
  19. D. 6
  20. C. 203.0