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In this video I discuss how to add with Scientific Nottion

In this video I would like to discuss adding with Scientific notation.

When adding with scientific notation. The two expressions must have the exact same base numbers to the exact same powers.

In this example notice you have the same base numbers and the same base powers you you are god to start adding.

In this example notice that the powers are different so you will need to make an adjustment to the coefficient in order to add

After adding the coefficient should be between 1 and 10 in order to be in correct scientific notation.

Let’s go ahead and work some examples and keep the rules in mind.

In this first example the powers and exponents are the same so you just add the two coefficients.

2 + 4 = 6 times 10 to the 3rd

In this next example the powers are the same and the exponents are the same, but when we add 7.5 + 8 = 15.5

Notice that it is not between 1 and 10 so we need to make an adjustment to that.

After adding we need to adjust the 15.5.

What I do is that the coefficient and the exponent have an inverse relationship so if I need to make the numbers smaller by moving the decimal to the left I will need to increase the exponent. Moving the decimal to the left becomes 1.55 times 10 to the 7th because I need to increase the exponent by one.

Let’s look at another example.

3 + 4 but the exponents are different.

I will adjust the 10 to the 3rd up.

Because I'm increasing the exponent the number becomes smaller so I will adjust it to .3 times 10 to the 4th plus 4 times 10 to the 4th.

When we add these two together we get 4.3 times 10 to the 4th

Our last example is 45 times 10 to the second plus 2 times 10 to the 3rd

The exponents are not the same so I will adjust the 45

I will adjust the exponent up and because it needs to increase the number will get smaller.

Therefore I will move the decimal place one to the left

The number is getting smaller so my exponent will increase

I next just add the two coefficients 4.5 + 2 = 6.5 times 10 to the 3rd.

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Tagged under: Scientific Nottion,adding scientific notation,lgebra,moomoomath

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