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Q: When adding or subtracting numbers written in scientific notation the exponents must be the?

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This is effectively the same as lining up the decimal points when adding or subtracting ordinary decimal fractions.

If you are adding or subtracting two numbers in scientific notation, you must rewrite one of the numbers to the same power of ten as the other, before performing the addition (or subtraction).

If you are adding or subtracting two numbers in scientific notation the exponents must be the same before adding the coefficients. This is similar to 'like terms' in algebraic expressions. You can't add 5x3 and 3x2 because the exponents are not the same.

Exponents are negative numbers. This is used in math a lot.

1 With addition change the scientific notation back to 'normal numbers' and then add accordingly 2 With subtraction change the scientific back to 'normal numbers' and then subtract accordingly 3 With division subtract the exponents and divide the decimals 4 With multiplication add the exponents and multiply the decimals 5 Note that if changes occur below 1 or greater than 9 in the decimal element of the scientific notation then appropriate adjustments must be made

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yes its really important

When adding or subtracting numbers in scientific notation, ensure that the exponents are the same. If the exponents are not the same, adjust one or both numbers to match. Then, add or subtract the coefficients while keeping the exponent the same. Finally, simplify the result if necessary by converting it back to proper scientific notation.

This is effectively the same as lining up the decimal points when adding or subtracting ordinary decimal fractions.

Only if the numbers to be converted into scientific notation are the same otherwise the exponents can vary according to the size the numbers.

If you are adding or subtracting two numbers in scientific notation, you must rewrite one of the numbers to the same power of ten as the other, before performing the addition (or subtraction).

If you are adding or subtracting two numbers in scientific notation the exponents must be the same before adding the coefficients. This is similar to 'like terms' in algebraic expressions. You can't add 5x3 and 3x2 because the exponents are not the same.

Exponents are negative numbers. This is used in math a lot.

You subtract the exponent of the divisor from that of the dividend.

1 With addition change the scientific notation back to 'normal numbers' and then add accordingly 2 With subtraction change the scientific back to 'normal numbers' and then subtract accordingly 3 With division subtract the exponents and divide the decimals 4 With multiplication add the exponents and multiply the decimals 5 Note that if changes occur below 1 or greater than 9 in the decimal element of the scientific notation then appropriate adjustments must be made

Very very small numbers as for example 0.00000078 = 7.8*10^-7 in scientific notation

Scientific notation is a way to write very large or very small numbers using exponents. For example 2000 is 2x103 . We can do the same thing with negative exponents and write very small numbers like 1/2000 which is 2x10-3 . So one real life use of exponents in in scientific notation.

When you add numbers in scientific notation, it is best to convert them to their original decimal form, or at least change them so that they have the same exponent. Then when you are finished adding, simply put the solution is proper scientific notation.