unit 2: expressions and scientific notation

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what is 5.9x10^-4 in standard notation

0.00059

what is 8.7x10^-4 in standard notation

0.00087

the first number (coefficient) should be between

1 and 9.9

(3x10^4) (2x10^3)

6x10^7

^3 √9

729

(4x10^3) + (7x10^3)

1.1x10^4

the distance between atlanta and new york city is 1.2x10^6. the distance between new york city and philadelphia is 3.7x10^5. what is the combined distance if you drove from atlanta to new york city and then drove from new york city to philadelphia ?

1.57x10^6

7x10^-5 / 4x10^-3

1.75x10^-2

√14

196

what is 249,000 in scientific notation

2.49x10^5

1x10^-3 / 4x10^2

2.5x10^-6

the radius of the sun is about 4x10^5. the radius of neptune is 2x10^4. how many times greater is the radius of the sun?

20

^3 √6

216

√15

225

(4x10^3) - (2x10^2)

3.8x10^3

√18

324

^3 √7

343

√19

361

(6x10^4) (5x10^6)

3x10^11

the distance between atlanta and nashville is 4x10^5. the distance between atlanta and orlando is 7x10^5. how much shorter is the trip from atlanta to nashville than atlanta to orlando?

3x10^5

what is 4.5x10^0 in standard notation

4.5

(4.8x10^3) - (1.9x10^2)

4.61x10^3

what is 4.5x10^1 in standard notation

450

√22

484

^3 √8

512

√23

529

√24

576

√25

625

what is a rational number

a number that can be written as a fraction

what is an irrational number

a number that cannot be written as a fraction

what is a whole number

a number with no negatives or decimals

when multiplying what do you do to the exponent

add

when the decimal is moved to the left, you

add one each time you move the decimal

what is the zero exponents rule

any term raised to a power of 0 equals 1

if the exponents are different what do you do

change the smaller exponent to the larger exponent by moving the decimal to the left

what is a natural number

counting numbers

what is the power to a product rule

distribute the exponent outside to everything inside the parentheses

what is the negative exponents rule

negative exponents are on the wrong side of the fraction bar, so you must move them to the other side

examples of irrational numbers are

non repeating decimals, 3𝛑, √3, √80, √2, 𝛑

what is an integer

numbers on the number line (no decimals)

what is the power to a power rule

power is raised to an exponent, then multiply exponents

when dividing what do you do to the exponent

subtract

when the decimal is moved to the right, you

subtract one each time you move the decimal

when adding and subtracting both exponents should be

the same

what is the quotient rule

when dividing and the bases are the same, subtract the exponents

what is the product rule

when multiplying and the bases are the same, add the exponents


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