calculation with sig figs video\nwhat does it mean when they say you can only be as precise as your least…

calculation with sig figs video\nwhat does it mean when they say you can only be as precise as your least precise number?\nadding and subtracting\nrule for adding and subtracting:\nproblem answer rounded sig fig #\n10.21\n+1.3\n12\n+ 2.54\n9.2\n- 3.36\n87.398\n- 86.50
Answer
Explanation:
Step1: Add 10.21 and 1.3
$10.21 + 1.3=11.51$. The least precise number is 1.3 which is precise to the tenths place. So we round 11.51 to 11.5.
Step2: Add 12 and 2.54
$12+2.54 = 14.54$. The least precise number is 12 which is a whole - number (precise to the ones place). So we round 14.54 to 15.
Step3: Subtract 3.36 from 9.2
$9.2−3.36 = 5.84$. The least precise number is 9.2 which is precise to the tenths place. So we round 5.84 to 5.8.
Step4: Subtract 86.50 from 87.398
$87.398−86.50 = 0.898$. The least precise number is 86.50 which is precise to the hundredths place. So we round 0.898 to 0.90.
Answer:
| Problem | Answer | Rounded Sig Fig # |
|---|---|---|
| 10.21 + 1.3 | 11.51 | 11.5 |
| 12 + 2.54 | 14.54 | 15 |
| 9.2 - 3.36 | 5.84 | 5.8 |
| 87.398 - 86.50 | 0.898 | 0.90 |