I wrote my comment wrong the first time... I should have said when you multiply numbers with exponents and the bases are the same then you add the exponents
I checked my answers and this did help me with what I was doing wrong. One important concept I learned was to remember that when you raise a power, (4 squared)to the 8th power, all the numbers inside the parenthesis gets the exponent. Thank you Mrs. Schranz! :) I am from period 6.
When changeing x^-2 or any other base with a negative exponent to a positive exponent make sure to put a one over the base and the exponent and make the exponent positive.For example: 2^-2 turns to 1/2^2.Decimal form: 1/2*2=1/4 1%4=0.25 .
You can't leave a negative exponent in an expression, unless it's in scientific notation. *If the problem is a base with a negative exponent, change it to a fraction; put 1 on the top, and the base with the exponent (as a positive) on the bottom. *If there's a negative exponent in the fraction, write it as just a base with the exponent as a positive.
When you're changing a number from scientific notation to standard form, remember to move the decimal to the right if the exponent is positive and to the left if it's negative
When multiplying with scientific notation such as (9 x 10^6)(3 x 10^8) make sure you multiply (9 x 3), keep the base the same (10), and add the exponents ^6 + ^8. You should get 27 x 10^14 but make sure to change the 27 to 2.7 and since you made that lower make the integer higher. Your final answer should be 2.7 x 10^15
When you're changing a number from standard form to scientific notation, remember to have the whole number be between 1 and 9.99999… Or else it's not in scientific notation.
I accidentally deleted my message - here it is again…
Good for you for checking your work. Make sure that you're completely comfortable with each of the problems on this review, and you should do just fine on the unit test (look at my work, too - not only the answers!).
Leave a comment below so that I know you checked your answers.
Leave your name (first name, last initial) and your math period where it says "Name/URL." In the comment box, type one important thing about this unit - something that would help others who are reading these comments.
Example:
Name/URL: Lisa B., period 1
In the comment box: When you're changing a number from scientific notation to standard form, remember to move the decimal to the right if the exponent is positive and to the left if it's negative.
Do this by 10:00 the night before your class's test for an extra credit point :)
For an equation like (4y^3)^2 the exponent outside of the parenthesis, which is 2 in this equation, applies to all the numbers/variables that are inside the parenthesis. For the numbers/variables inside the parenthesis that already have a exponent, all you have to do is multiply that exponent, which is 3 in the example equation, with the exponent outside of the parenthesis, as for the numbers without exponents, they simply get the exponent that is outside of the parenthesis. (which is 2)
One important thing about this unit is whenever you have a number to the power of zero it equals one. When a number is to the power of zero it would be one because when you fold a paper zero times it still equals one whole paper.
Remember that when you're dealing with negative exponents or numbers, a negative number closer to zero is greater than a larger number further away from zero. EX: -2 is greater than -20.
One important thing to remember is, when doing scientific notation, make sure that the number is between 1-9.9999... If it is not between those numbers you would need to make the numbers fit between them. For example, 42x10^-3 is not in scientific notation. To make it in scientific notation you need to make the 42 into 4.2 and make -3 into -2. Your final answer should be 4.2x10^-2
26 comments:
Remember that if the exponent is 0 the answer is always 1.
Anything to the power of 0 is 1
I wrote my comment wrong the first time... I should have said when you multiply numbers with exponents and the bases are the same then you add the exponents
If any number or variable is to the power of zero it equals 1.
I checked my answers and this did help me with what I was doing wrong. One important concept I learned was to remember that when you raise a power, (4 squared)to the 8th power, all the numbers inside the parenthesis gets the exponent. Thank you Mrs. Schranz! :) I am from period 6.
subtracting a negative exponent is like adding a positive
When changeing x^-2 or any other base with a negative exponent to a positive exponent make sure to put a one over the base and the exponent and make the exponent positive.For example: 2^-2 turns to 1/2^2.Decimal form: 1/2*2=1/4
1%4=0.25 .
You can't leave a negative exponent in an expression, unless it's in scientific notation.
*If the problem is a base with a negative exponent, change it to a fraction; put 1 on the top, and the base with the exponent (as a positive) on the bottom.
*If there's a negative exponent in the fraction, write it as just a base with the exponent as a positive.
One important thing about this unit are the properties of exponents because we used these all throughout the unit.
If a number gets bigger when using scientific notation exponent gets smaller or vice versa
When you're changing a number from scientific notation to standard form, remember to move the decimal to the right if the exponent is positive and to the left if it's negative
When multiplying with scientific notation such as (9 x 10^6)(3 x 10^8) make sure you multiply (9 x 3), keep the base the same (10), and add the exponents ^6 + ^8. You should get 27 x 10^14 but make sure to change the 27 to 2.7 and since you made that lower make the integer higher. Your final answer should be 2.7 x 10^15
When you're changing a number from standard form to scientific notation, remember to have the whole number be between 1 and 9.99999… Or else it's not in scientific notation.
I accidentally deleted my message - here it is again…
Good for you for checking your work. Make sure that you're completely comfortable with each of the problems on this review, and you should do just fine on the unit test (look at my work, too - not only the answers!).
Leave a comment below so that I know you checked your answers.
Leave your name (first name, last initial) and your math period where it says "Name/URL." In the comment box, type one important thing about this unit - something that would help others who are reading these comments.
Example:
Name/URL: Lisa B., period 1
In the comment box: When you're changing a number from scientific notation to standard form, remember to move the decimal to the right if the exponent is positive and to the left if it's negative.
Do this by 10:00 the night before your class's test for an extra credit point :)
For an equation like (4y^3)^2 the exponent outside of the parenthesis, which is 2 in this equation, applies to all the numbers/variables that are inside the parenthesis. For the numbers/variables inside the parenthesis that already have a exponent, all you have to do is multiply that exponent, which is 3 in the example equation, with the exponent outside of the parenthesis, as for the numbers without exponents, they simply get the exponent that is outside of the parenthesis. (which is 2)
Ex: (4y^3)^2 -> 4^2 x y^3 x 2 = 4^2y^6 :)
anything with an exponent of 0 is always 1
When working with negative exponents, remember that one is always a fraction, one is not, and one always has a negative exponent, one does not.
One important thing to remember about this unit is that any number with zero as an exponent will equal one.
One important thing about this unit is whenever you have a number to the power of zero it equals one. When a number is to the power of zero it would be one because when you fold a paper zero times it still equals one whole paper.
to multiply powers with the same base, add their exponents
Remember that when you're dealing with negative exponents or numbers, a negative number closer to zero is greater than a larger number further away from zero. EX: -2 is greater than -20.
Anything to the power of 0 is 1.
if any number is to the power of 0 the answer is always 1
One important thing about this unit is that the power of anything to 0 is 1.
Any number or equations to the power of zero is one
One important thing to remember is, when doing scientific notation, make sure that the number is between 1-9.9999...
If it is not between those numbers you would need to make the numbers fit between them. For example,
42x10^-3 is not in scientific notation. To make it in scientific notation you need to make the 42 into 4.2 and make -3 into -2. Your final answer should be 4.2x10^-2
Post a Comment