Question

quiz - measurement, density, %error & sig figs
possible points: 19.05
how many significant figures are in each number below?
542,300,000
0.0000260
6.52 x 10^-4
560.90

Explanation:

Step1: Identify significant - fig rules

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

Step2: Analyze 542300000

Non - zero digits 5, 4, 2 and trailing zeros after the decimal - like part (assuming it's a measured value with precision indicated) are significant. There are 6 significant figures.

Step3: Analyze 0.0000260

Leading zeros are not significant. Non - zero digits 2, 6 and the trailing zero are significant. There are 3 significant figures.

Step4: Analyze 6.52×10⁻⁴

In scientific notation, the digits in the coefficient (6.52) are significant. There are 3 significant figures.

Step5: Analyze 560.90

Non - zero digits 5, 6, 9 and the trailing zero after the decimal are significant. The zero between non - zero digits is also significant. There are 5 significant figures.

Answer:

542300000: 6
0.0000260: 3
6.52×10⁻⁴: 3
560.90: 5