(1.53 × 10^4) + (8.17 × 10^4)
Understand the Problem
The question is asking us to add two numbers expressed in scientific notation and provide the answer in the same format.
Answer
$9.7 \times 10^4$
Answer for screen readers
The final answer is $9.7 \times 10^4$.
Steps to Solve
- Identify the terms in scientific notation
We have two terms to add: $1.53 \times 10^4$ and $8.17 \times 10^4$. Both numbers have the same exponent of $4$.
- Combine the coefficients
Since both numbers have the same exponent, we can simply add their coefficients: $$ 1.53 + 8.17 = 9.70 $$
- Rewrite the sum in scientific notation
The sum will be: $$ 9.70 \times 10^4 $$
- Adjust for significant figures
We typically express scientific notation with a single non-zero digit to the left of the decimal. In this case, we can write it as: $$ 9.7 \times 10^4 $$
The final answer is $9.7 \times 10^4$.
More Information
Adding numbers in scientific notation is straightforward when they share the same exponent. You can focus on adding the coefficients directly and keep the exponent the same.
Tips
- Forgetting to adjust exponents: This occurs when the terms have different exponents. Always ensure the exponents are the same before adding.
- Rounding too early: Make sure to keep significant figures until the end, then adjust for proper scientific notation.
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