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When subtracting or adding numbers in scientific notation why do the exponents need to be the same?
This is effectively the same as lining up the decimal points when adding or subtracting ordinary decimal fractions.
What is the disadvantage of using scientific notation?
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).
Why do you need to rewrite the given scientific notation in the same power of 10?
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.
Numbers that are in scientific notation that have a negative exponent are?
Exponents are negative numbers. This is used in math a lot.
What are the rules of adding subtracting dividing and multiplying written in scientific notation?
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
When subtracting numbers in scientific notation what you do with exponents?
yes its really important
Rules in adding or subtracting scientific notation?
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.
When subtracting or adding numbers in scientific notation why do the exponents need to be the same?
This is effectively the same as lining up the decimal points when adding or subtracting ordinary decimal fractions.
Why do exponents need to be the same when using scientific notation?
Only if the numbers to be converted into scientific notation are the same otherwise the exponents can vary according to the size the numbers.
What is the disadvantage of using scientific notation?
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).
Why do you need to rewrite the given scientific notation in the same power of 10?
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.
Numbers that are in scientific notation that have a negative exponent are?
Exponents are negative numbers. This is used in math a lot.
When dividing numbers in scientific notation what do you do with the exponents?
You subtract the exponent of the divisor from that of the dividend.
What are the rules of adding subtracting dividing and multiplying written in scientific notation?
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
When using scientific notation negative exponents are very useful when writing what kinds of numbers?
Very very small numbers as for example 0.00000078 = 7.8*10^-7 in scientific notation
How do you add subtract multiply and divide numbers written in scientific notation?
To add or subtract numbers in scientific notation, ensure the exponents are the same; if not, adjust one of the numbers so they match before performing the operation. For multiplication, multiply the coefficients and add the exponents. For division, divide the coefficients and subtract the exponents. Finally, express the result in proper scientific notation, adjusting the coefficient to be between 1 and 10 if necessary.
What are real life uses of exponents?
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.
