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Significant Figures worksheet

Grades 9–10 · CCSS HSN.Q.A.3

Solve each problem and show your work. Round answers to 2 decimal places where needed.

1.
Problem 1.
- Number: 0.00400
- Round to (significant figures): 2
Find: Significant figures
Answer
2.
Problem 2.
- Number: 0.00500
- Round to (significant figures): 2
Find: Significant figures
Answer
3.
Problem 3.
- Number: 0.00360
- Round to (significant figures): 1
Find: Significant figures
Answer
4.
Problem 4.
- Number: 0.00480
- Round to (significant figures): 3
Find: Significant figures
Answer
5.
Problem 5.
- Number: 0.00550
- Round to (significant figures): 2
Find: Significant figures
Answer
6.
Problem 6.
- Number: 0.00340
- Round to (significant figures): 2
Find: Significant figures
Answer
7.
Problem 7.
- Number: 0.00650
- Round to (significant figures): 3
Find: Significant figures
Answer
8.
Problem 8.
- Number: 0.00560
- Round to (significant figures): 2
Find: Significant figures
Answer
9.
Problem 9.
- Number: 0.00490
- Round to (significant figures): 3
Find: Significant figures
Answer
10.
Problem 10.
- Number: 0.00440
- Round to (significant figures): 2
Find: Significant figures
Answer

Answer key: Significant Figures worksheet

1. Significant figures: 3
1. Start from the digits exactly as you typed them. Minus signs and commas are not digits
  $0.00400$
2. Zeros in front only show where the decimal point is, so these 3 zeros are not significant
  $not significant: 0 0 0$
3. Zeros at the end count when there is a decimal point. They show the value was measured to that place
  $significant: 0 0$
4. Count the digits that are significant
  $significant digits 4 0 0$ $= 3$
5. To keep 2 significant figures, round at the place of digit number 2. That place is 10^-4, and a 5 rounds up
  $unit$ $= 10^{−4}$
6. Here is the rounded value, keeping any zeros at the end that now count
  $0.0040 = 4.0 × 10^-3$
2. Significant figures: 3
1. Start from the digits exactly as you typed them. Minus signs and commas are not digits
  $0.00500$
2. Zeros in front only show where the decimal point is, so these 3 zeros are not significant
  $not significant: 0 0 0$
3. Zeros at the end count when there is a decimal point. They show the value was measured to that place
  $significant: 0 0$
4. Count the digits that are significant
  $significant digits 5 0 0$ $= 3$
5. To keep 2 significant figures, round at the place of digit number 2. That place is 10^-4, and a 5 rounds up
  $unit$ $= 10^{−4}$
6. Here is the rounded value, keeping any zeros at the end that now count
  $0.0050 = 5.0 × 10^-3$
3. Significant figures: 3
1. Start from the digits exactly as you typed them. Minus signs and commas are not digits
  $0.00360$
2. Zeros in front only show where the decimal point is, so these 3 zeros are not significant
  $not significant: 0 0 0$
3. Zeros at the end count when there is a decimal point. They show the value was measured to that place
  $significant: 0$
4. Count the digits that are significant
  $significant digits 3 6 0$ $= 3$
5. To keep 1 significant figure, round at the place of digit number 1. That place is 10^-3, and a 5 rounds up
  $unit$ $= 10^{−3}$
6. Here is the rounded value, keeping any zeros at the end that now count
  $0.004 = 4 × 10^-3$
4. Significant figures: 3
1. Start from the digits exactly as you typed them. Minus signs and commas are not digits
  $0.00480$
2. Zeros in front only show where the decimal point is, so these 3 zeros are not significant
  $not significant: 0 0 0$
3. Zeros at the end count when there is a decimal point. They show the value was measured to that place
  $significant: 0$
4. Count the digits that are significant
  $significant digits 4 8 0$ $= 3$
5. To keep 3 significant figures, round at the place of digit number 3. That place is 10^-5, and a 5 rounds up
  $unit$ $= 10^{−5}$
6. Here is the rounded value, keeping any zeros at the end that now count
  $0.00480 = 4.80 × 10^-3$
5. Significant figures: 3
1. Start from the digits exactly as you typed them. Minus signs and commas are not digits
  $0.00550$
2. Zeros in front only show where the decimal point is, so these 3 zeros are not significant
  $not significant: 0 0 0$
3. Zeros at the end count when there is a decimal point. They show the value was measured to that place
  $significant: 0$
4. Count the digits that are significant
  $significant digits 5 5 0$ $= 3$
5. To keep 2 significant figures, round at the place of digit number 2. That place is 10^-4, and a 5 rounds up
  $unit$ $= 10^{−4}$
6. Here is the rounded value, keeping any zeros at the end that now count
  $0.0055 = 5.5 × 10^-3$
6. Significant figures: 3
1. Start from the digits exactly as you typed them. Minus signs and commas are not digits
  $0.00340$
2. Zeros in front only show where the decimal point is, so these 3 zeros are not significant
  $not significant: 0 0 0$
3. Zeros at the end count when there is a decimal point. They show the value was measured to that place
  $significant: 0$
4. Count the digits that are significant
  $significant digits 3 4 0$ $= 3$
5. To keep 2 significant figures, round at the place of digit number 2. That place is 10^-4, and a 5 rounds up
  $unit$ $= 10^{−4}$
6. Here is the rounded value, keeping any zeros at the end that now count
  $0.0034 = 3.4 × 10^-3$
7. Significant figures: 3
1. Start from the digits exactly as you typed them. Minus signs and commas are not digits
  $0.00650$
2. Zeros in front only show where the decimal point is, so these 3 zeros are not significant
  $not significant: 0 0 0$
3. Zeros at the end count when there is a decimal point. They show the value was measured to that place
  $significant: 0$
4. Count the digits that are significant
  $significant digits 6 5 0$ $= 3$
5. To keep 3 significant figures, round at the place of digit number 3. That place is 10^-5, and a 5 rounds up
  $unit$ $= 10^{−5}$
6. Here is the rounded value, keeping any zeros at the end that now count
  $0.00650 = 6.50 × 10^-3$
8. Significant figures: 3
1. Start from the digits exactly as you typed them. Minus signs and commas are not digits
  $0.00560$
2. Zeros in front only show where the decimal point is, so these 3 zeros are not significant
  $not significant: 0 0 0$
3. Zeros at the end count when there is a decimal point. They show the value was measured to that place
  $significant: 0$
4. Count the digits that are significant
  $significant digits 5 6 0$ $= 3$
5. To keep 2 significant figures, round at the place of digit number 2. That place is 10^-4, and a 5 rounds up
  $unit$ $= 10^{−4}$
6. Here is the rounded value, keeping any zeros at the end that now count
  $0.0056 = 5.6 × 10^-3$
9. Significant figures: 3
1. Start from the digits exactly as you typed them. Minus signs and commas are not digits
  $0.00490$
2. Zeros in front only show where the decimal point is, so these 3 zeros are not significant
  $not significant: 0 0 0$
3. Zeros at the end count when there is a decimal point. They show the value was measured to that place
  $significant: 0$
4. Count the digits that are significant
  $significant digits 4 9 0$ $= 3$
5. To keep 3 significant figures, round at the place of digit number 3. That place is 10^-5, and a 5 rounds up
  $unit$ $= 10^{−5}$
6. Here is the rounded value, keeping any zeros at the end that now count
  $0.00490 = 4.90 × 10^-3$
10. Significant figures: 3
1. Start from the digits exactly as you typed them. Minus signs and commas are not digits
  $0.00440$
2. Zeros in front only show where the decimal point is, so these 3 zeros are not significant
  $not significant: 0 0 0$
3. Zeros at the end count when there is a decimal point. They show the value was measured to that place
  $significant: 0$
4. Count the digits that are significant
  $significant digits 4 4 0$ $= 3$
5. To keep 2 significant figures, round at the place of digit number 2. That place is 10^-4, and a 5 rounds up
  $unit$ $= 10^{−4}$
6. Here is the rounded value, keeping any zeros at the end that now count
  $0.0044 = 4.4 × 10^-3$