Math Problem Statement
Find 6.5 × 10^11 ÷ 1.3 × 10^8. Write your answer in scientific notation.
Solution
The problem in the image is asking to divide two numbers expressed in scientific notation:
To solve this, let's break it into two steps:
-
Divide the coefficients:
-
Subtract the exponents of the powers of 10:
Thus, the result is:
So, the final answer in scientific notation is:
Would you like further details on any steps?
Here are 5 related questions to expand your understanding:
- How do you multiply numbers in scientific notation?
- What are the rules for adding or subtracting exponents when dividing powers of 10?
- Can you explain the difference between scientific and standard notation?
- How would you solve a similar problem with different exponents, such as ?
- What are some practical applications of using scientific notation?
Tip: When multiplying or dividing in scientific notation, handle the coefficients and powers of 10 separately to make the process simpler.
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Math Problem Analysis
Mathematical Concepts
Scientific Notation
Exponent Rules
Division of Powers
Formulas
a × 10^m ÷ b × 10^n = (a ÷ b) × 10^(m-n)
Theorems
Exponent Subtraction Rule for Division
Suitable Grade Level
Grades 8-10