Addition and subtraction of scientific notation

Example: Add the scientific notations below:

The) 1,2. 10 2 + 11,5. 102 = (1, 2 + 11. 5). 102 = 12,7. 102 = 1,27.103

B) 0,23. 10-3 + 0,4. 10-3 = (0,23 + 0,4). 10-3 = 0,63. 10-3 = 6,3.10-4

ç) 200 + 3,5. 102 = 2. 102 + 3,5. 102 = (2 + 3,5). 102 = 5,5. 102 → In this example, we had to transform 200 to 2. By doing this, we get the same order of magnitude for the two scientific notations.

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Example: Get the results of the subtractions below:

The) 34,567. 103 – 5,6. 103 = (34,567 – 5,6). 103 = 28,967. 103 = 2,8967. 104

B) 1,14. 10-2 – 0,26. 10-2 = (1,14 – 0.26). 10-2 = 0,88. 10-2 = 8,8. 10-3

ç) 25,4. 102 – 12,3. 103 = 25,4. 102 – 123. 102 = (25,4 – 123). 102 = – 97,6. 102 = – 9,76. 10→ We had to transform 12.3 to 123 because the order of magnitude chosen for base ten was number 2.

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Learn to use the sign game to find the sign of the result of a multiplication or addition and expand this concept to other operations.

Logarithm, Base change, Logarithm operating properties, Logarithm properties, Logarithm existence condition, Base, Logarithm base, Logarithm, Logarithm elements.

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