Math Problem Statement

Write 1.2×10 to the fourth in standard form and write 5×10 to the sixth power in standard form

Solution

To write the numbers in standard form:

  1. 1.2 × 10⁴:

    • Move the decimal point 4 places to the right.
    • Standard form: 12,000
  2. 5 × 10⁶:

    • Move the decimal point 6 places to the right.
    • Standard form: 5,000,000

Would you like more details on how to handle exponents or have any questions?

Here are 5 related questions:

  1. How do you write 3.5×1033.5 \times 10^3 in standard form?
  2. What is 7×1027 \times 10^2 in standard form?
  3. How would you express 6.02×1056.02 \times 10^5 in standard form?
  4. What happens when you multiply 1.2×1041.2 \times 10^4 by 5×1065 \times 10^6?
  5. How do you convert very small numbers like 4.5×1034.5 \times 10^{-3} into standard form?

Tip: When dealing with exponents, the power of 10 tells you how many places to move the decimal—right for positive exponents and left for negative ones!

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Math Problem Analysis

Mathematical Concepts

Scientific Notation
Powers of 10
Standard Form

Formulas

Standard form of scientific notation: a × 10^n
Move decimal point n places right if n is positive

Theorems

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Suitable Grade Level

Grades 6-8