Grade 6 Math Worksheets: Practice converting numbers from scientific notation to standard form.
Grade 6 math worksheet with scientific notation problems, featuring 20 equations to convert numbers from scientific notation to standard form.
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Step-by-step solution for: 6th Grade Math Worksheets Decimal Scientific Notation 70 Pages ...
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Show Answer Key & Explanations
Step-by-step solution for: 6th Grade Math Worksheets Decimal Scientific Notation 70 Pages ...
You're working with scientific notation problems — specifically, converting numbers from scientific notation (like `a × 10ⁿ`) into standard form (regular numbers).
---
To convert a number in scientific notation to standard form:
1. Look at the exponent of 10.
2. If the exponent is positive, move the decimal point to the right that many places.
3. If the exponent is negative, move the decimal point to the left.
4. Fill in with zeros as needed.
---
Let’s solve each problem step by step:
---
## 🔹 Left Column:
→ Move decimal 6 places right:
`1.202 → 1,202,000`
✔ Answer: 1,202,000
---
→ Move decimal 6 places right:
`1.93 → 1,930,000`
✔ Answer: 1,930,000
---
→ Move decimal 6 places right:
`0.609 → 609,000`
✔ Answer: 609,000
---
→ Move decimal 8 places right:
`0.72 → 72,000,000`
✔ Answer: 72,000,000
---
→ Move decimal 9 places right:
`1.12 → 1,120,000,000`
✔ Answer: 1,120,000,000
---
→ Move decimal 9 places right:
`1.132 → 1,132,000,000`
✔ Answer: 1,132,000,000
---
→ Move decimal 8 places right:
`0.55 → 55,000,000`
✔ Answer: 55,000,000
---
→ Move decimal 9 places right:
`0.42 → 420,000,000`
✔ Answer: 420,000,000
---
→ Move decimal 3 places right:
`1.307 → 1,307`
✔ Answer: 1,307
---
→ Move decimal 2 places right:
`0.76 → 76`
✔ Answer: 76
---
→ Move decimal 5 places right:
`6.809 → 680,900`
✔ Answer: 680,900
---
## 🔹 Right Column:
→ Move decimal 5 places right:
`0.97 → 97,000`
✔ Answer: 97,000
---
→ Move decimal 2 places right:
`1.31 → 131`
✔ Answer: 131
---
→ Move decimal 3 places right:
`0.701 → 701`
✔ Answer: 701
---
→ Move decimal 6 places right:
`0.26 → 260,000`
✔ Answer: 260,000
---
→ Move decimal 9 places right:
`0.42 → 420,000,000`
✔ Answer: 420,000,000
---
→ Move decimal 5 places right:
`0.3 → 30,000`
✔ Answer: 30,000
---
→ Move decimal 8 places right:
`1.43 → 143,000,000`
✔ Answer: 143,000,000
---
→ Move decimal 5 places right:
`5.417 → 541,700`
✔ Answer: 541,700
---
→ Move decimal 3 places right:
`0.36 → 360`
✔ Answer: 360
---
→ Move decimal 6 places right:
`1.201 → 1,201,000`
✔ Answer: 1,201,000
---
→ Move decimal 6 places right:
`0.21 → 210,000`
✔ Answer: 210,000
---
## 📝 Final Answers (Left to Right, Top to Bottom):
1. 1,202,000
2. 1,930,000
3. 609,000
4. 72,000,000
5. 1,120,000,000
6. 1,132,000,000
7. 55,000,000
8. 420,000,000
9. 1,307
10. 76
11. 680,900
1. 97,000
2. 131
3. 701
4. 260,000
5. 420,000,000
6. 30,000
7. 143,000,000
8. 541,700
9. 360
10. 1,201,000
11. 210,000
---
✔ All done! You’ve successfully converted all scientific notation expressions to standard form. Great job practicing this essential Grade 6 math skill!
---
✔ How to Solve:
To convert a number in scientific notation to standard form:
1. Look at the exponent of 10.
2. If the exponent is positive, move the decimal point to the right that many places.
3. If the exponent is negative, move the decimal point to the left.
4. Fill in with zeros as needed.
---
Let’s solve each problem step by step:
---
## 🔹 Left Column:
1. `1.202 × 10⁶`
→ Move decimal 6 places right:
`1.202 → 1,202,000`
✔ Answer: 1,202,000
---
2. `1.93 × 10⁶`
→ Move decimal 6 places right:
`1.93 → 1,930,000`
✔ Answer: 1,930,000
---
3. `0.609 × 10⁶`
→ Move decimal 6 places right:
`0.609 → 609,000`
✔ Answer: 609,000
---
4. `0.72 × 10⁸`
→ Move decimal 8 places right:
`0.72 → 72,000,000`
✔ Answer: 72,000,000
---
5. `1.12 × 10⁹`
→ Move decimal 9 places right:
`1.12 → 1,120,000,000`
✔ Answer: 1,120,000,000
---
6. `1.132 × 10⁹`
→ Move decimal 9 places right:
`1.132 → 1,132,000,000`
✔ Answer: 1,132,000,000
---
7. `0.55 × 10⁸`
→ Move decimal 8 places right:
`0.55 → 55,000,000`
✔ Answer: 55,000,000
---
8. `0.42 × 10⁹`
→ Move decimal 9 places right:
`0.42 → 420,000,000`
✔ Answer: 420,000,000
---
9. `1.307 × 10³`
→ Move decimal 3 places right:
`1.307 → 1,307`
✔ Answer: 1,307
---
10. `0.76 × 10²`
→ Move decimal 2 places right:
`0.76 → 76`
✔ Answer: 76
---
11. `6.809 × 10⁵`
→ Move decimal 5 places right:
`6.809 → 680,900`
✔ Answer: 680,900
---
## 🔹 Right Column:
1. `0.97 × 10⁵`
→ Move decimal 5 places right:
`0.97 → 97,000`
✔ Answer: 97,000
---
2. `1.31 × 10²`
→ Move decimal 2 places right:
`1.31 → 131`
✔ Answer: 131
---
3. `0.701 × 10³`
→ Move decimal 3 places right:
`0.701 → 701`
✔ Answer: 701
---
4. `0.26 × 10⁶`
→ Move decimal 6 places right:
`0.26 → 260,000`
✔ Answer: 260,000
---
5. `0.42 × 10⁹`
→ Move decimal 9 places right:
`0.42 → 420,000,000`
✔ Answer: 420,000,000
---
6. `0.3 × 10⁵`
→ Move decimal 5 places right:
`0.3 → 30,000`
✔ Answer: 30,000
---
7. `1.43 × 10⁸`
→ Move decimal 8 places right:
`1.43 → 143,000,000`
✔ Answer: 143,000,000
---
8. `5.417 × 10⁵`
→ Move decimal 5 places right:
`5.417 → 541,700`
✔ Answer: 541,700
---
9. `0.36 × 10³`
→ Move decimal 3 places right:
`0.36 → 360`
✔ Answer: 360
---
10. `1.201 × 10⁶`
→ Move decimal 6 places right:
`1.201 → 1,201,000`
✔ Answer: 1,201,000
---
11. `0.21 × 10⁶`
→ Move decimal 6 places right:
`0.21 → 210,000`
✔ Answer: 210,000
---
## 📝 Final Answers (Left to Right, Top to Bottom):
Left Column:
1. 1,202,000
2. 1,930,000
3. 609,000
4. 72,000,000
5. 1,120,000,000
6. 1,132,000,000
7. 55,000,000
8. 420,000,000
9. 1,307
10. 76
11. 680,900
Right Column:
1. 97,000
2. 131
3. 701
4. 260,000
5. 420,000,000
6. 30,000
7. 143,000,000
8. 541,700
9. 360
10. 1,201,000
11. 210,000
---
✔ All done! You’ve successfully converted all scientific notation expressions to standard form. Great job practicing this essential Grade 6 math skill!
Parent Tip: Review the logic above to help your child master the concept of 6th grade math problems.
