Question

1. adjust the calculated answer to the appropriate amount of significant figures

calculated answer 1 sig fig 2 sig figs 3 sig figs 4 sig figs
0.0597
7.897,000
4,900
3.4x10³

Explanation:

Step1: Rounding rules for significant - figures

• Non - zero digits are always significant.
• Leading zeros (zeros before non - zero digits) are not significant.
• Trailing zeros in a number without a decimal point may or may not be significant. Trailing zeros in a number with a decimal point are significant.

Step2: Adjust 0.0597

• 1 Sig Fig: 0.06 (Round 0.0597 to 1 non - zero digit. Since 9>5, 5 rounds up to 6).
• 2 Sig Figs: 0.060 (Round to 2 non - zero digits. The 7 rounds the 9 up, and we keep the 0 to show 2 significant figures).
• 3 Sig Figs: 0.0597 (Already has 3 significant figures).
• 4 Sig Figs: 0.05970 (Add a trailing 0 to make 4 significant figures).

Step3: Adjust 7897000

• 1 Sig Fig: 8000000 (Round to 1 non - zero digit. Since 8>5, we round up to 8 million).
• 2 Sig Figs: 7.9×10⁶ (Scientific notation to show 2 significant figures. 897 rounds up to 900, and we write it as 7.9 million).
• 3 Sig Figs: 7.90×10⁶ (Add a trailing 0 to show 3 significant figures in scientific notation).
• 4 Sig Figs: 7.897×10⁶ (Keep the original digits and write in scientific notation).

Step4: Adjust 4900

• 1 Sig Fig: 5000 (Round to 1 non - zero digit. Since 9>5, we round up to 5000).
• 2 Sig Figs: 4900 (Already has 2 significant figures if we assume the trailing zeros are not significant).
• 3 Sig Figs: 4.90×10³ (Scientific notation to show 3 significant figures).
• 4 Sig Figs: 4.900×10³ (Add a trailing 0 to show 4 significant figures in scientific notation).

Step5: Adjust 3.4×10³

• 1 Sig Fig: 3×10³ (Round to 1 non - zero digit).
• 2 Sig Figs: 3.4×10³ (Already has 2 significant figures).
• 3 Sig Figs: 3.40×10³ (Add a trailing 0 to show 3 significant figures).
• 4 Sig Figs: 3.400×10³ (Add another trailing 0 to show 4 significant figures).

Answer:

Calculated Answer	1 Sig Fig	2 Sig Figs	3 Sig Figs	4 Sig Figs
7897000	8000000	7.9×10⁶	7.90×10⁶	7.897×10⁶
4900	5000	4900	4.90×10³	4.900×10³
3.4×10³	3×10³	3.4×10³	3.40×10³	3.400×10³