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:

8×10152×103\frac{8 \times 10^{15}}{2 \times 10^{3}}

Step 1: Simplify the numerical part

82=4\frac{8}{2} = 4

Step 2: Simplify the powers of 10

When dividing powers of 10, you subtract the exponents:

1015103=10153=1012\frac{10^{15}}{10^{3}} = 10^{15 - 3} = 10^{12}

Step 3: Combine the results

Thus, the result is:

4×10124 \times 10^{12}

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:

  1. How do you multiply numbers in scientific notation?
  2. How do you convert a number from standard form to ordinary form?
  3. What happens if you subtract powers of 10 in scientific notation?
  4. How do you divide numbers in scientific notation with different exponents?
  5. 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.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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