Determine by what factor the numbers differ. In other words, determine how many times larger the first number is than the second. In scientific notation

1 trillion, 1 hundred

To determine by what factor the numbers differ, we first need to express both numbers in scientific notation and then divide the first number by the second to see how many times larger it is.

1. **1 trillion** is written as \( 1 \times 10^{12} \).
2. **1 hundred** is written as \( 1 \times 10^2 \).

Now, we divide the first number by the second:

\[
\frac{1 \times 10^{12}}{1 \times 10^2} = 1 \times 10^{12 - 2} = 1 \times 10^{10}
\]

So, the first number is \( 1 \times 10^{10} \) or **10 billion times** larger than the second.

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Here are 5 related questions you might be interested in:
1. How can I convert between standard numbers and scientific notation?
2. What is the significance of scientific notation in large number calculations?
3. How do you multiply and divide numbers in scientific notation?
4. What are some examples of scientific notation in real-world applications?
5. How can I simplify very large or very small numbers using exponents?

**Tip:** When dividing powers of 10 in scientific notation, simply subtract the exponents!

Determine by what factor the numbers differ. In other words, determine how many times larger the first number is than the second. In scientific notation.

1 trillion, 1 hundred

This detailed explanation shows how to determine how many times larger 1 trillion is than 1 hundred using scientific notation. The problem covers key mathematical concepts, including division of powers of 10 and exponent rules, suitable for students in Grades 9-10.

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