Math Problem Statement

Write 7.774 × 10^(-6) in standard notation.

Solution

The expression 7.774×1067.774 \times 10^{-6} in standard notation is equivalent to moving the decimal point 6 places to the left.

7.774×106=0.0000077747.774 \times 10^{-6} = 0.000007774

This is the number in standard notation.

Would you like more details on how scientific notation works, or do you have any further questions?

Here are five related questions:

  1. How do you convert larger numbers from scientific notation to standard notation?
  2. What is the difference between positive and negative exponents in scientific notation?
  3. How can scientific notation help in comparing very large and very small numbers?
  4. What are the practical uses of scientific notation in real-life scenarios like physics or engineering?
  5. How would you convert 3.56×1043.56 \times 10^4 into standard notation?

Tip: When converting scientific notation with negative exponents, always remember to move the decimal to the left by the number of the exponent.

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Math Problem Analysis

Mathematical Concepts

Scientific Notation
Powers of 10
Standard Notation

Formulas

a × 10^n, where a is a number and n is an exponent

Theorems

Exponent Rules: Moving the decimal point based on the exponent value

Suitable Grade Level

Grades 6-8