Printable addition worksheet focused on adding the number 9 to various single digits.
A math worksheet titled "Adding by 9" featuring a grid of addition problems with numbers 0 through 9 added to 9, designed for educational practice.
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ID: #295400
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Show Answer Key & Explanations
Step-by-step solution for: Math Worksheets | Dynamically Created Math Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Math Worksheets | Dynamically Created Math Worksheets
To determine the number of significant digits in each number, we need to follow the rules for significant figures:
Rules for Significant Figures:
1. Non-zero digits are always significant.
2. Zeros between non-zero digits are significant.
3. Leading zeros (zeros before the first non-zero digit) are not significant.
4. Trailing zeros (zeros after the last non-zero digit) are significant if they are to the right of a decimal point or if a decimal point is explicitly shown.
5. In scientific notation, only the digits in the coefficient are considered significant.
Let's solve each problem step by step:
---
1) 0.00180
- Leading zeros are not significant.
- The digits "1", "8", and "0" are significant.
- Total: 3 significant digits.
2) 4 × 10⁻⁶
- In scientific notation, only the digits in the coefficient are significant.
- The coefficient is "4", which has 1 significant digit.
3) 3007
- All non-zero digits are significant.
- Zeros between non-zero digits are significant.
- Total: 4 significant digits.
4) 0.00120
- Leading zeros are not significant.
- The digits "1", "2", and "0" are significant.
- Total: 3 significant digits.
5) 8096
- All non-zero digits are significant.
- Total: 4 significant digits.
6) 49.418
- All non-zero digits are significant.
- Total: 5 significant digits.
7) 6 × 10⁻⁸
- In scientific notation, only the digits in the coefficient are significant.
- The coefficient is "6", which has 1 significant digit.
8) 1 × 10⁻⁷
- In scientific notation, only the digits in the coefficient are significant.
- The coefficient is "1", which has 1 significant digit.
9) 7000
- Trailing zeros without a decimal point are not significant unless specified otherwise.
- Only the "7" is significant.
- Total: 1 significant digit.
10) 8780
- All non-zero digits are significant.
- Trailing zeros without a decimal point are not significant unless specified otherwise.
- Total: 3 significant digits.
11) 520
- All non-zero digits are significant.
- Trailing zeros without a decimal point are not significant unless specified otherwise.
- Total: 2 significant digits.
12) 0.0077
- Leading zeros are not significant.
- The digits "7" and "7" are significant.
- Total: 2 significant digits.
13) 3.219 × 10⁴
- In scientific notation, only the digits in the coefficient are significant.
- The coefficient is "3.219", which has 4 significant digits.
14) 6.692 × 10⁻¹
- In scientific notation, only the digits in the coefficient are significant.
- The coefficient is "6.692", which has 4 significant digits.
15) 0.980
- Leading zeros are not significant.
- The digits "9", "8", and "0" are significant.
- Total: 3 significant digits.
16) 200
- All non-zero digits are significant.
- Trailing zeros without a decimal point are not significant unless specified otherwise.
- Total: 1 significant digit.
17) 0.073
- Leading zeros are not significant.
- The digits "7" and "3" are significant.
- Total: 2 significant digits.
18) 0.542
- Leading zeros are not significant.
- The digits "5", "4", and "2" are significant.
- Total: 3 significant digits.
19) 8.0 × 10²
- In scientific notation, only the digits in the coefficient are significant.
- The coefficient is "8.0", which has 2 significant digits.
20) 3052
- All non-zero digits are significant.
- Total: 4 significant digits.
---
Final Answers:
1. 3
2. 1
3. 4
4. 3
5. 4
6. 5
7. 1
8. 1
9. 1
10. 3
11. 2
12. 2
13. 4
14. 4
15. 3
16. 1
17. 2
18. 3
19. 2
20. 4
Boxed Answer:
\[
\boxed{3, 1, 4, 3, 4, 5, 1, 1, 1, 3, 2, 2, 4, 4, 3, 1, 2, 3, 2, 4}
\]
Rules for Significant Figures:
1. Non-zero digits are always significant.
2. Zeros between non-zero digits are significant.
3. Leading zeros (zeros before the first non-zero digit) are not significant.
4. Trailing zeros (zeros after the last non-zero digit) are significant if they are to the right of a decimal point or if a decimal point is explicitly shown.
5. In scientific notation, only the digits in the coefficient are considered significant.
Let's solve each problem step by step:
---
1) 0.00180
- Leading zeros are not significant.
- The digits "1", "8", and "0" are significant.
- Total: 3 significant digits.
2) 4 × 10⁻⁶
- In scientific notation, only the digits in the coefficient are significant.
- The coefficient is "4", which has 1 significant digit.
3) 3007
- All non-zero digits are significant.
- Zeros between non-zero digits are significant.
- Total: 4 significant digits.
4) 0.00120
- Leading zeros are not significant.
- The digits "1", "2", and "0" are significant.
- Total: 3 significant digits.
5) 8096
- All non-zero digits are significant.
- Total: 4 significant digits.
6) 49.418
- All non-zero digits are significant.
- Total: 5 significant digits.
7) 6 × 10⁻⁸
- In scientific notation, only the digits in the coefficient are significant.
- The coefficient is "6", which has 1 significant digit.
8) 1 × 10⁻⁷
- In scientific notation, only the digits in the coefficient are significant.
- The coefficient is "1", which has 1 significant digit.
9) 7000
- Trailing zeros without a decimal point are not significant unless specified otherwise.
- Only the "7" is significant.
- Total: 1 significant digit.
10) 8780
- All non-zero digits are significant.
- Trailing zeros without a decimal point are not significant unless specified otherwise.
- Total: 3 significant digits.
11) 520
- All non-zero digits are significant.
- Trailing zeros without a decimal point are not significant unless specified otherwise.
- Total: 2 significant digits.
12) 0.0077
- Leading zeros are not significant.
- The digits "7" and "7" are significant.
- Total: 2 significant digits.
13) 3.219 × 10⁴
- In scientific notation, only the digits in the coefficient are significant.
- The coefficient is "3.219", which has 4 significant digits.
14) 6.692 × 10⁻¹
- In scientific notation, only the digits in the coefficient are significant.
- The coefficient is "6.692", which has 4 significant digits.
15) 0.980
- Leading zeros are not significant.
- The digits "9", "8", and "0" are significant.
- Total: 3 significant digits.
16) 200
- All non-zero digits are significant.
- Trailing zeros without a decimal point are not significant unless specified otherwise.
- Total: 1 significant digit.
17) 0.073
- Leading zeros are not significant.
- The digits "7" and "3" are significant.
- Total: 2 significant digits.
18) 0.542
- Leading zeros are not significant.
- The digits "5", "4", and "2" are significant.
- Total: 3 significant digits.
19) 8.0 × 10²
- In scientific notation, only the digits in the coefficient are significant.
- The coefficient is "8.0", which has 2 significant digits.
20) 3052
- All non-zero digits are significant.
- Total: 4 significant digits.
---
Final Answers:
1. 3
2. 1
3. 4
4. 3
5. 4
6. 5
7. 1
8. 1
9. 1
10. 3
11. 2
12. 2
13. 4
14. 4
15. 3
16. 1
17. 2
18. 3
19. 2
20. 4
Boxed Answer:
\[
\boxed{3, 1, 4, 3, 4, 5, 1, 1, 1, 3, 2, 2, 4, 4, 3, 1, 2, 3, 2, 4}
\]
Parent Tip: Review the logic above to help your child master the concept of 12 grade math worksheet.
