Math Problem Statement
Calculate (8 × 10^15) ÷ (2 × 10^3). Give your answer in standard form.
Solution
To solve the given problem:
We are asked to calculate:
Step 1: Simplify the numerical part
Step 2: Simplify the powers of 10
When dividing powers of 10, you subtract the exponents:
Step 3: Combine the results
Thus, the result is:
This is the final answer in standard form.
Let me know if you'd like further details or have any other questions! Here are some related questions you might find interesting:
- How do you multiply numbers in scientific notation?
- How do you convert a number from standard form to ordinary form?
- What happens if you subtract powers of 10 in scientific notation?
- How do you divide numbers in scientific notation with different exponents?
- Can scientific notation be used for very small numbers? How?
Tip: When multiplying or dividing numbers in scientific notation, always separate the coefficient (the number before the "×") from the power of 10, and simplify each part separately.
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Math Problem Analysis
Mathematical Concepts
Scientific Notation
Exponents
Division
Formulas
When dividing powers with the same base: a^m ÷ a^n = a^(m - n)
Scientific notation format: a × 10^n where 1 ≤ a < 10
Theorems
Exponent Rule for Division
Suitable Grade Level
Grades 8-10