Calculate (6.25 x 109) − (3.44 x 108).


To solve \((6.25 \times 10^9) - (3.44 \times 10^8)\), we will follow these steps:

### Step 1: Express both numbers in the same power of 10
Since \(6.25 \times 10^9\) is already in the form of \(10^9\), we convert \(3.44 \times 10^8\) to the same power of 10:
\[
3.44 \times 10^8 = 0.344 \times 10^9
\]

### Step 2: Subtract the coefficients
Now, subtract the coefficients of the terms:
\[
6.25 - 0.344 = 5.906
\]

### Step 3: Express the result in scientific notation
The result is:
\[
5.906 \times 10^9
\]

So, \((6.25 \times 10^9) - (3.44 \times 10^8) = 5.906 \times 10^9\).

Would you like more details or have any questions? 

Here are 5 related questions:
1. How do you add two numbers in scientific notation?
2. What is the significance of scientific notation in large number calculations?
3. How would you calculate \((7.5 \times 10^6) + (2.3 \times 10^7)\)?
4. How does the power of 10 affect multiplication and division in scientific notation?
5. Can you convert \(4.567 \times 10^5\) into a standard number?

**Tip:** When subtracting numbers in scientific notation, ensure that both numbers are expressed with the same power of 10 before performing the subtraction.

Learn how to subtract numbers in scientific notation: (6.25 x 10^9) - (3.44 x 10^8). Follow a step-by-step solution to convert numbers to the same power of 10 and subtract coefficients. Understand the significance of scientific notation in large number calculations. Suitable for students in Grades 7-9.

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