In these lessons, we will look at some examples of adding and subtracting numbers in
(Scientific notation is called standard form in the UK.)
Converting Scientific Notation
Multiplying Scientific Notation
Dividing Scientific Notation
The following diagram shows how to add or subtract numbers in scientific notation. Scroll down the page for more examples on adding and subtracting with scientific notation.
To add or subtract two numbers in scientific notation:
Step 1: Adjust the powers of 10 in the 2 numbers so that they have the same index. (Tip: It is easier to adjust the smaller index to equal the larger index).
Step 2: Add or subtract the numbers.
Step 3: Give the answer in scientific notation.
Evaluate 2 × 103 + 3.6 × 104, giving your answer in scientific notation.
Evaluate 7 × 105 – 5.2 × 104, giving your answer in scientific notation.
This video explains how to add and subtract numbers written in scientific notation, whether or not they have the same exponent.
(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)
This video explains why when adding and subtracting numbers in scientific notation, you have to make sure the exponents are the same.
(7.1 × 103) + (5 × 102)
This video reviews scientific notation and shows how to add and subtract in Scientific Notation.
Rule for scientific notation:
This video explains how to do add and subtract in scientific notation without the use of a calculator.
Learn how to add and subtract in scientific notation.
Add and subtract numbers in different bases by rewriting their exponents to be the same.
(3.5 × 104) + (3.1 × 105)
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