Perform mathematical operations including addition, subtraction, multiplication, and division on numbers written in scientific notation (a × 10b).
Scientific Notation Result:
1 × 100
Standard Decimal Equivalent:
1
Calculations depend on the operation. For multiplication, multiply coefficients and add exponents. For addition/subtraction, exponents must be matched first.
Multiplication Formula: (a × 10b) × (c × 10d) = (a × c) × 10(b+d)
Let's multiply 2.0 × 103 by 3.0 × 102.
A number is normalized when the coefficient is greater than or equal to 1 and less than 10.
Exponents allow us to represent very large or very small numbers compactly without writing numerous zeros.
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