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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.

Grade 6 math worksheet with scientific notation problems, featuring 20 equations to convert numbers from scientific notation to standard form.

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Show Answer Key & Explanations Step-by-step solution for: 6th Grade Math Worksheets Decimal Scientific Notation 70 Pages ...
To solve these problems, we need to convert numbers from scientific notation into standard form.

How to do it:
When you see a number like $1.202 \times 10^6$, the exponent (the small number 6) tells you how many places to move the decimal point to the right.

1. Start with the number: $1.202$
2. Move the decimal point 6 spots to the right.
3. If you run out of digits, add zeros.

Let's go through them step-by-step:

Left Column:

1. $1.202 \times 10^6$: Move decimal 6 places right $\rightarrow$ 1,202,000
2. $1.93 \times 10^6$: Move decimal 6 places right $\rightarrow$ 1,930,000
3. $0.609 \times 10^6$: Move decimal 6 places right $\rightarrow$ 609,000
4. $0.72 \times 10^8$: Move decimal 8 places right $\rightarrow$ 72,000,000
5. $1.12 \times 10^9$: Move decimal 9 places right $\rightarrow$ 1,120,000,000
6. $1.132 \times 10^9$: Move decimal 9 places right $\rightarrow$ 1,132,000,000
7. $0.55 \times 10^8$: Move decimal 8 places right $\rightarrow$ 55,000,000
8. $0.42 \times 10^9$: Move decimal 9 places right $\rightarrow$ 420,000,000
9. $1.307 \times 10^3$: Move decimal 3 places right $\rightarrow$ 1,307
10. $0.76 \times 10^2$: Move decimal 2 places right $\rightarrow$ 76
11. $6.809 \times 10^5$: Move decimal 5 places right $\rightarrow$ 680,900

Right Column:

12. $0.97 \times 10^5$: Move decimal 5 places right $\rightarrow$ 97,000
13. $1.31 \times 10^2$: Move decimal 2 places right $\rightarrow$ 131
14. $0.701 \times 10^3$: Move decimal 3 places right $\rightarrow$ 701
15. $0.26 \times 10^6$: Move decimal 6 places right $\rightarrow$ 260,000
16. $0.42 \times 10^9$: Move decimal 9 places right $\rightarrow$ 420,000,000
17. $0.3 \times 10^5$: Move decimal 5 places right $\rightarrow$ 30,000
18. $1.43 \times 10^8$: Move decimal 8 places right $\rightarrow$ 143,000,000
19. $5.417 \times 10^5$: Move decimal 5 places right $\rightarrow$ 541,700
20. $0.36 \times 10^3$: Move decimal 3 places right $\rightarrow$ 360
21. $1.201 \times 10^6$: Move decimal 6 places right $\rightarrow$ 1,201,000
22. $0.21 \times 10^6$: Move decimal 6 places right $\rightarrow$ 210,000

Final Answer:
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:
12. 97,000
13. 131
14. 701
15. 260,000
16. 420,000,000
17. 30,000
18. 143,000,000
19. 541,700
20. 360
21. 1,201,000
22. 210,000
Parent Tip: Review the logic above to help your child master the concept of math worksheet for sixth grade.
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