Printable worksheet for practicing scientific notation conversion.
Scientific notation worksheet with examples and 14 problems for converting numbers into scientific notation.
PNG
449×586
37.3 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #256776
⭐
Show Answer Key & Explanations
Step-by-step solution for: Concept 18: Exponents & Scientific Notation
▼
Show Answer Key & Explanations
Step-by-step solution for: Concept 18: Exponents & Scientific Notation
Let's solve each problem step by step and express each number in scientific notation.
Scientific notation is a way of writing very large or very small numbers in the form:
$$
a \times 10^n
$$
where:
- $1 \leq a < 10$ (a number between 1 and 10),
- $n$ is an integer (positive or negative),
- The decimal point is moved so that only one non-zero digit is to the left of the decimal.
---
We’ll go through each number:
---
1) 562
Move the decimal point 2 places to the left:
562 → 5.62
So, $562 = 5.62 \times 10^2$
✔ Answer: $5.62 \times 10^2$
---
2) 4,216
Move decimal 3 places left:
4,216 → 4.216
So, $4,216 = 4.216 \times 10^3$
✔ Answer: $4.216 \times 10^3$
---
3) 49,603
Move decimal 4 places left:
49,603 → 4.9603
So, $49,603 = 4.9603 \times 10^4$
✔ Answer: $4.9603 \times 10^4$
---
4) 25
Move decimal 1 place left:
25 → 2.5
So, $25 = 2.5 \times 10^1$
✔ Answer: $2.5 \times 10^1$
---
5) 128,569
Move decimal 5 places left:
128,569 → 1.28569
So, $128,569 = 1.28569 \times 10^5$
✔ Answer: $1.28569 \times 10^5$
---
6) 836
Move decimal 2 places left:
836 → 8.36
So, $836 = 8.36 \times 10^2$
✔ Answer: $8.36 \times 10^2$
---
7) 9,364
Move decimal 3 places left:
9,364 → 9.364
So, $9,364 = 9.364 \times 10^3$
✔ Answer: $9.364 \times 10^3$
---
8) 34,121
Move decimal 4 places left:
34,121 → 3.4121
So, $34,121 = 3.4121 \times 10^4$
✔ Answer: $3.4121 \times 10^4$
---
9) 22
Move decimal 1 place left:
22 → 2.2
So, $22 = 2.2 \times 10^1$
✔ Answer: $2.2 \times 10^1$
---
10) 912
Move decimal 2 places left:
912 → 9.12
So, $912 = 9.12 \times 10^2$
✔ Answer: $9.12 \times 10^2$
---
11) 7,350
Move decimal 3 places left:
7,350 → 7.35
So, $7,350 = 7.35 \times 10^3$
✔ Answer: $7.35 \times 10^3$
---
12) 4,874
Move decimal 3 places left:
4,874 → 4.874
So, $4,874 = 4.874 \times 10^3$
✔ Answer: $4.874 \times 10^3$
---
13) 80,256
Move decimal 4 places left:
80,256 → 8.0256
So, $80,256 = 8.0256 \times 10^4$
✔ Answer: $8.0256 \times 10^4$
---
14) 13,058
Move decimal 4 places left:
13,058 → 1.3058
So, $13,058 = 1.3058 \times 10^4$
✔ Answer: $1.3058 \times 10^4$
---
| Number | Scientific Notation |
|-------|---------------------|
| 1) 562 | $5.62 \times 10^2$ |
| 2) 4,216 | $4.216 \times 10^3$ |
| 3) 49,603 | $4.9603 \times 10^4$ |
| 4) 25 | $2.5 \times 10^1$ |
| 5) 128,569 | $1.28569 \times 10^5$ |
| 6) 836 | $8.36 \times 10^2$ |
| 7) 9,364 | $9.364 \times 10^3$ |
| 8) 34,121 | $3.4121 \times 10^4$ |
| 9) 22 | $2.2 \times 10^1$ |
| 10) 912 | $9.12 \times 10^2$ |
| 11) 7,350 | $7.35 \times 10^3$ |
| 12) 4,874 | $4.874 \times 10^3$ |
| 13) 80,256 | $8.0256 \times 10^4$ |
| 14) 13,058 | $1.3058 \times 10^4$ |
---
Let me know if you'd like this as a printable answer key!
🔹 What is Scientific Notation?
Scientific notation is a way of writing very large or very small numbers in the form:
$$
a \times 10^n
$$
where:
- $1 \leq a < 10$ (a number between 1 and 10),
- $n$ is an integer (positive or negative),
- The decimal point is moved so that only one non-zero digit is to the left of the decimal.
---
We’ll go through each number:
---
1) 562
Move the decimal point 2 places to the left:
562 → 5.62
So, $562 = 5.62 \times 10^2$
✔ Answer: $5.62 \times 10^2$
---
2) 4,216
Move decimal 3 places left:
4,216 → 4.216
So, $4,216 = 4.216 \times 10^3$
✔ Answer: $4.216 \times 10^3$
---
3) 49,603
Move decimal 4 places left:
49,603 → 4.9603
So, $49,603 = 4.9603 \times 10^4$
✔ Answer: $4.9603 \times 10^4$
---
4) 25
Move decimal 1 place left:
25 → 2.5
So, $25 = 2.5 \times 10^1$
✔ Answer: $2.5 \times 10^1$
---
5) 128,569
Move decimal 5 places left:
128,569 → 1.28569
So, $128,569 = 1.28569 \times 10^5$
✔ Answer: $1.28569 \times 10^5$
---
6) 836
Move decimal 2 places left:
836 → 8.36
So, $836 = 8.36 \times 10^2$
✔ Answer: $8.36 \times 10^2$
---
7) 9,364
Move decimal 3 places left:
9,364 → 9.364
So, $9,364 = 9.364 \times 10^3$
✔ Answer: $9.364 \times 10^3$
---
8) 34,121
Move decimal 4 places left:
34,121 → 3.4121
So, $34,121 = 3.4121 \times 10^4$
✔ Answer: $3.4121 \times 10^4$
---
9) 22
Move decimal 1 place left:
22 → 2.2
So, $22 = 2.2 \times 10^1$
✔ Answer: $2.2 \times 10^1$
---
10) 912
Move decimal 2 places left:
912 → 9.12
So, $912 = 9.12 \times 10^2$
✔ Answer: $9.12 \times 10^2$
---
11) 7,350
Move decimal 3 places left:
7,350 → 7.35
So, $7,350 = 7.35 \times 10^3$
✔ Answer: $7.35 \times 10^3$
---
12) 4,874
Move decimal 3 places left:
4,874 → 4.874
So, $4,874 = 4.874 \times 10^3$
✔ Answer: $4.874 \times 10^3$
---
13) 80,256
Move decimal 4 places left:
80,256 → 8.0256
So, $80,256 = 8.0256 \times 10^4$
✔ Answer: $8.0256 \times 10^4$
---
14) 13,058
Move decimal 4 places left:
13,058 → 1.3058
So, $13,058 = 1.3058 \times 10^4$
✔ Answer: $1.3058 \times 10^4$
---
✔ Final Answers:
| Number | Scientific Notation |
|-------|---------------------|
| 1) 562 | $5.62 \times 10^2$ |
| 2) 4,216 | $4.216 \times 10^3$ |
| 3) 49,603 | $4.9603 \times 10^4$ |
| 4) 25 | $2.5 \times 10^1$ |
| 5) 128,569 | $1.28569 \times 10^5$ |
| 6) 836 | $8.36 \times 10^2$ |
| 7) 9,364 | $9.364 \times 10^3$ |
| 8) 34,121 | $3.4121 \times 10^4$ |
| 9) 22 | $2.2 \times 10^1$ |
| 10) 912 | $9.12 \times 10^2$ |
| 11) 7,350 | $7.35 \times 10^3$ |
| 12) 4,874 | $4.874 \times 10^3$ |
| 13) 80,256 | $8.0256 \times 10^4$ |
| 14) 13,058 | $1.3058 \times 10^4$ |
---
Let me know if you'd like this as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of scientific notations worksheets with answers.