Math Problem Statement

(7.2 × 10^(-6)) + (5.44 × 10^(-6))

Solution

The expression to evaluate is:

(7.2×106)+(5.44×106)(7.2 \times 10^{-6}) + (5.44 \times 10^{-6})

Since both terms are in the same power of 10610^{-6}, we can simply add the coefficients:

7.2+5.44=12.647.2 + 5.44 = 12.64

So the sum is:

12.64×10612.64 \times 10^{-6}

To express this in proper scientific notation, we write it as:

1.264×1051.264 \times 10^{-5}

Thus, the final answer in scientific notation is:

1.264×1051.264 \times 10^{-5}

Would you like further details or have any questions?


Here are 5 related questions to practice with:

  1. Evaluate (3.1×104)+(2.5×104)(3.1 \times 10^{-4}) + (2.5 \times 10^{-4}).
  2. Add (6.7×103)(6.7 \times 10^{-3}) and (3.4×103)(3.4 \times 10^{-3}) in scientific notation.
  3. Subtract (8.56×105)(3.14×105)(8.56 \times 10^{-5}) - (3.14 \times 10^{-5}).
  4. Multiply (4.2×102)×(3.1×103)(4.2 \times 10^2) \times (3.1 \times 10^{-3}).
  5. Divide (5.6×102)÷(2.0×101)(5.6 \times 10^{-2}) \div (2.0 \times 10^{-1}).

Tip: When adding or subtracting in scientific notation, ensure that the powers of ten are the same before performing the operation on the coefficients.

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Math Problem Analysis

Mathematical Concepts

Scientific Notation
Addition of Numbers in Scientific Notation

Formulas

a × 10^n + b × 10^n = (a + b) × 10^n

Theorems

Rule of addition for scientific notation (when exponents are the same)

Suitable Grade Level

Grades 9-11