Find the sum of 2.35 x 1019 and 3.157 x 1017

To find the sum of \(2.35 \times 10^{19}\) and \(3.157 \times 10^{17}\), we need to express them with the same exponent.

### Step 1: Rewrite both numbers with the same exponent
We can express \(2.35 \times 10^{19}\) as \(235 \times 10^{17}\) (by multiplying by 100 and adjusting the exponent), so both terms now have the exponent \(10^{17}\).

\[
2.35 \times 10^{19} = 235 \times 10^{17}
\]

Now, the expression becomes:

\[
235 \times 10^{17} + 3.157 \times 10^{17}
\]

### Step 2: Add the coefficients
Now, add the coefficients \(235\) and \(3.157\):

\[
235 + 3.157 = 238.157
\]

### Step 3: Combine the result
Multiply the sum by \(10^{17}\):

\[
238.157 \times 10^{17}
\]

### Step 4: Convert to scientific notation
The result \(238.157 \times 10^{17}\) can be rewritten in scientific notation:

\[
2.38157 \times 10^{19}
\]

Thus, the sum of \(2.35 \times 10^{19}\) and \(3.157 \times 10^{17}\) is:

\[
\boxed{2.38157 \times 10^{19}}
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you add numbers in scientific notation when their exponents are different?
2. How do you convert between decimal and scientific notation?
3. What are common applications of scientific notation in real-world problems?
4. How do you multiply numbers expressed in scientific notation?
5. What is the importance of rounding when working with very large or small numbers?

**Tip:** Always align the exponents in scientific notation before adding or subtracting numbers.

Find the sum of 2.35 x 10^19 and 3.157 x 10^17

Learn how to add 2.35 x 10^19 and 3.157 x 10^17 using scientific notation. This solution provides a step-by-step guide to align exponents, add coefficients, and convert to standard scientific form. Perfect for students in Grades 9-12.

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