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Add And Subtract Scientific Notations

Add And Subtract Scientific Notations Worksheet

6 problems

Add and subtract scientific notations
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Adding and subtracting numbers in scientific notation involves aligning the exponents, then either adding or subtracting the coefficients accordingly. This method simplifies calculations with large or small numbers by standardizing the exponents and adjusting the coefficients to maintain the correct order of magnitude. It's essential in scientific and engineering contexts for precise computations and data analysis, ensuring accuracy when dealing with measurements spanning wide ranges of values.

Algebra 1
Scientific Notation

How Will This Worksheet on "Add and Subtract Scientific Notations" Benefit Your Student's Learning?

  • Develops fluency in applying steps for operations with scientific notation through multiple examples.
  • Enhances problem-solving skills with various scientific notation problems.
  • Reinforces understanding of place value and exponents.
  • Shows real-life applications and provides immediate feedback.
  • Offers practice at different levels, preparing students for advanced mathematical concepts.

How to Add and Subtract Scientifi...

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Solved Example

Q. Subtract. Write your answer in scientific notation.\newline(7.15×105)−(5.964×105)(7.15 \times 10^5) - (5.964 \times 10^5)\newlineChoices:\newline(A) 1.186×1071.186 \times 10^7\newline(B) 1.186×1061.186 \times 10^6\newline(C) 1.186×1051.186 \times 10^5\newline(D) 1.186×1041.186 \times 10^4
Solution:
  1. Subtract coefficients, keep exponent: Subtract the coefficients of the given numbers while keeping the exponent the same since they are like terms. 7.15−5.964=1.1867.15 - 5.964 = 1.186
  2. Write final answer in scientific notation: Write the final answer in scientific notation using the common exponent from the original terms. 1.186×1051.186 \times 10^5
  3. Choose equivalent expression: Choose the equivalent expression for the final answer from the given choices.\newlineThe correct choice is (C)1.186×105(C)1.186 \times 10^5

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