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
Ask yourself. Would you rather write this out in long hand? 234,000,000,000,000,000,000 ----------------------------------- Or this? 2.34 X 1020 -------------- Let alone adding, subtracting, multiplying and dividing the first long number.
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).
Add them
Same.
You subtract the exponent of the denominator from that of the numerator.
Yes, it does.
Ask yourself. Would you rather write this out in long hand? 234,000,000,000,000,000,000 ----------------------------------- Or this? 2.34 X 1020 -------------- Let alone adding, subtracting, multiplying and dividing the first long number.
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).
Add them
yes its really important
Same.
You subtract the exponent of the denominator from that of the numerator.
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.
Subtract them.
Multiplying numbers in scientific notation is easier when the numbers are very, very large or very, very small. Multiplying 0.000000000385 x 0.0000000474 is a pain. Multiplying 3.85 x 10-10 x 4.74 x 10-8 is not.
Multiplying each factor by powers of ten
You subtract the exponent of the divisor from that of the dividend.