Base 10 Negative Exponents
If a base 10 has a negative exponent, standard form will be what type of number?
a decimal
When converting scientific notation with positive exponents into standard form, which direction do you move the decimal and how many places do you know to move it?
To the right the number of times as indicated by the exponent
When converting from standard form into scientific notation, a whole number indicates that the exponent will be what sign?
positive
If the exponents are the same value, what might you look at to make a comparison?
the factor
The exponent of a base 10 tells you how many __________ will be used in standard form.
zeroes
When converting scientific notation with negative exponents into standard form, which direction do you move the decimal and how many places do you know to move it?
To the left the number of times as indicated by the exponent
When converting from standard form into scientific notation, a decimal indicates that the exponent will be what sign?
negative
Other than looking at the exponents, how else might you order and compare numbers written in scientific notation?
convert to standard form
Write two other forms of 10-6
1/1000000
0.000001
Convert the following into standard form:
1.0 * 10^3
1,000
Convert the following from standard form into scientific notation: 3,190,000
3.19 * 10^6
Fill in the blank with the appropriate symbol >, <, =
1.01 * 10^5 110,000
<
What must you use to simplify a base 10 with a negative exponent?
the reciprocal
Convert the following into standard form:
3.69 * 10^7
36,900,000
Convert the following from standard form into scientific notation: 0.000000312
3.12 * 10^-7
List the following in ascending order:
2.03 * 10^2
3.6 * 10^-1
0.12
214
0.12
3.6 * 10^-1
2.03 * 10^2
214
True or False:
10^-5 = 1/10^-5
False; the exponent becomes positive when turning the base 10 into the reciprocal
Convert the following into standard form:
9.38 * 10^-7
0.000000938
Convert the following from standard form into scientific notation: 5
5 * 10^0
List the following in descending order:
0.510
5,123
5.10 * 10^-2
5.12 * 10^3
5,123
5.12 * 10^3
0.510
5.10 * 10^-2