It looks like you've uploaded an image of a worksheet titled
"Operations with Scientific Notation". The worksheet includes several problems involving addition, subtraction, multiplication, and division using scientific notation.
Since I can't view images directly, I’ll need you to describe the problems or type out the specific questions from the worksheet so I can help solve them step by step.
However, I can give you a general guide on how to perform operations with scientific notation:
---
🔢 Scientific Notation Basics:
A number in scientific notation is written as:
\[
a \times 10^n
\]
where \(1 \leq |a| < 10\) and \(n\) is an integer.
---
✔ Addition & Subtraction:
-
Step 1: Make sure both numbers have the
same exponent.
-
Step 2: Add or subtract the coefficients.
-
Step 3: Adjust to proper scientific notation if needed.
Example:
\[
(3.2 \times 10^5) + (4.7 \times 10^5) = (3.2 + 4.7) \times 10^5 = 7.9 \times 10^5
\]
If exponents differ:
\[
(3.2 \times 10^5) + (4.7 \times 10^4) = (3.2 \times 10^5) + (0.47 \times 10^5) = 3.67 \times 10^5
\]
---
✔ Multiplication:
- Multiply the coefficients.
- Add the exponents.
Example:
\[
(2.5 \times 10^3) \times (4.0 \times 10^2) = (2.5 \times 4.0) \times 10^{3+2} = 10.0 \times 10^5 = 1.0 \times 10^6
\]
---
✔ Division:
- Divide the coefficients.
- Subtract the exponents.
Example:
\[
(6.0 \times 10^8) \div (2.0 \times 10^3) = (6.0 \div 2.0) \times 10^{8-3} = 3.0 \times 10^5
\]
---
Now, please provide the actual problems from your worksheet (e.g., copy-paste the questions), and I’ll solve them for you with full explanations!
Parent Tip: Review the logic above to help your child master the concept of math handbook transparency worksheet.
