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باستخدام التركيز العلمي

Let's solve the problems shown in the image one by one.

### Problem 8
\[
(9.5 \times 10^{11}) + (6.3 \times 10^9)
\]
**Step 1:** Convert the smaller exponent to match the larger one:
\[
6.3 \times 10^9 = 0.063 \times 10^{11}
\]
**Step 2:** Add the two numbers:
\[
9.5 \times 10^{11} + 0.063 \times 10^{11} = (9.5 + 0.063) \times 10^{11} = 9.563 \times 10^{11}
\]

### Problem 9
\[
(1.03 \times 10^9) - (4.7 \times 10^7)
\]
**Step 1:** Convert the smaller exponent to match the larger one:
\[
4.7 \times 10^7 = 0.047 \times 10^9
\]
**Step 2:** Subtract the two numbers:
\[
1.03 \times 10^9 - 0.047 \times 10^9 = (1.03 - 0.047) \times 10^9 = 0.983 \times 10^9
\]
Or you could express this as:
\[
9.83 \times 10^8
\]

### Problem 10
\[
(1.357 \times 10^9) + 590,000
\]
**Step 1:** Convert 590,000 to scientific notation:
\[
590,000 = 5.9 \times 10^5
\]
**Step 2:** The exponents are too different to combine directly in this way, so we add the numbers separately:
\[
1.357 \times 10^9 + 5.9 \times 10^5 \approx 1.357 \times 10^

Solve the following problems using scientific notation: 8. (9.5 × 10^11) + (6.3 × 10^9), 9. (1.03 × 10^9) - (4.7 × 10^7), 10. (1.357 × 10^9) + 590,000, 11. 87,100 - (6.34 × 10^1).

Learn how to solve problems using scientific notation, including addition and subtraction of numbers with different exponents. This lesson covers converting exponents and combining terms in problems such as (9.5 × 10^11) + (6.3 × 10^9) and (1.03 × 10^9) - (4.7 × 10^7). Suitable for students in Grades 9-11.

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