adding and subtracting numbers in scientific notation answer key

Technological Notation: Addition And Subtraction

The following diagram shows how to add or deduct Book of Numbers in knowledge base notational system. Scroll down the page for many examples on adding and subtracting with scientific annotation.

add scientific notation

To add u or deduct two numbers in technological notation:
Step 1: Adjust the powers of 10 in the 2 numbers so that they bear the same exponent. (Wind: It is easier to adjust the smaller index to equal the larger index).

Step 2: Summate or subtract the numbers.

Step 3: Give the answer in scientific notation.

Example:
Evaluate 2 × 103 + 3.6 × 104, bounteous your answer in scientific notation.

Solution:
adding in scientific notation

Instance:
Evaluate 7 × 105 – 5.2 × 104, giving your answer in scientific notation.

Solvent:
subtracting in scientific notation

Tote up And Subtract Numbers In Scientific Notation With Same Oregon Distinct Exponents And Antagonistic Exponents

This video explains how to summate and subtract numbers written in scientific notation, whether operating theater not they have the comparable advocator.

Examples:
(3.769 × 105) + (4.21 × 105)
(8.14 × 10-2) - (2.01 × 10-2)
(7.58 × 105) + (2.871 × 106)
(2.9785 × 10-8) - (5.72 × 10-10)
(4.86 × 103) - (4.72 × 103)

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Why You Make To Make a point The Exponents Are The Equal?

This video explains why when adding and subtracting numbers in scientific notation, you have to make sure as shootin the exponents are the same.

Deterrent example:
(7.1 × 103) + (5 × 102)

  • Demo Video recording Lesson

Rules For Scientific Notation

This television reviews scientific notation and shows how to add and subtract in Scientific Notation.

Rule for scientific notation:

  • If the exponent goes devour, the percentage point goes right.
  • If the denary point goes right, the exponent goes behind.
  • If the exponent goes up, the decimal fraction goes left.
  • If the decimal fraction point goes left, the index goes up.
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Technological Notational system - Addition And Subtraction Rules

This video explains how to do add and deduct in scientific notation without the use of a calculator.

  • The powers of 10 mustiness personify the same in both terms in order to tally/subtract.
  • Once the power of 10 matches, just add Beaver State subtract.
  • Adjust the answer to knowledge domain annotation.
  • Show Video Lesson

Scientific Notation - Adding And Subtracting

Con how to add and subtract in scientific annotation.
Add and subtract numbers in unusual bases by revising their exponents to be the same.

Example:
(3.5 × 104) + (3.1 × 105)

  • Show Video Lesson


Try the free Mathway calculator and convergent thinker below to practice varied math topics. Try the given examples, operating room type in your own problem and check your response with the piecemeal explanations.
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adding and subtracting numbers in scientific notation answer key

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