Question

number # of sig figs number # of sig figs 0.00025 100 1.581 4 8.6000 870,871 0.0000790 6.626x10^(-34) 1,250,000,000

Explanation:

Step1: Determine sig - figs for 0.00025

Non - zero digits are significant. Leading zeros are not. So 0.00025 has 2 sig - figs.

Step2: Determine sig - figs for 100

Trailing zeros without a decimal point may or may not be significant. By default, 100 has 1 sig - fig.

Step3: Determine sig - figs for 8.6000

Trailing zeros after a decimal point are significant. So 8.6000 has 5 sig - figs.

Step4: Determine sig - figs for 870,871

All non - zero digits are significant. It has 6 sig - figs.

Step5: Determine sig - figs for 0.0000790

Leading zeros are not significant, trailing zeros after non - zero digits are significant. So it has 3 sig - figs.

Step6: Determine sig - figs for 6.626x10⁻³⁴

All digits in the coefficient are significant. It has 4 sig - figs.

Step7: Determine sig - figs for 1,250,000,000

Trailing zeros without a decimal point may or may not be significant. Assuming no additional information, it has 3 sig - figs.

Answer:

Number	# of Sig Figs	Number	# of Sig Figs
1.581	4	8.6000	5
870,871	6	0.0000790	3
6.626x10⁻³⁴	4	1,250,000,000	3