Unit 3 Exponents and Scientific Notation Review Which number is Irrational?

Question 1
Which number is Irrational?

a. 5/9
b. 0.123123123....
c. square root 9
Selected:d. 0.2535455565....

Question 2
To find which number is one thousand times larger than 2.3 x 10^2, you would do the following steps.

a. Change 1,000 to Scientific notation and then subtract from (2.3 x 10^6)
b. Change 1,000 to Scientific notation and then multiply by (2.3 x 10^6)
c. Change 1,000 to Scientific notation and then add to (2.3 x 10^2)
Selected:d. Change 1,000 to Scientific notation and then divide by (2.3 x 10^6)

Question 3
Put the steps in order for changing the repeating decimal, which is rational, to a ratio or fraction. 0.171717.... = what fraction?

subtract (x = 0.171717....)

100x = 17.1717....

x = 0.171717

x = 17/99

99x = 17

Question 4
The first step in simplifying the expression: (1.8 x 10^5) - (2.6 x 10^3)
a. Addition and subtraction do not require any changes, so you would just subtract (2.6 - 1.8) and (10^(5-3))
b. Addition and subtraction do not require any changes, so you would just subtract (1.8 - 2.6) and (10^(5-3))
c. Addition and subtraction requires the terms to be "like terms" with the same power of the base 10, so you would need to change the second number to (2600 x 10^5).
d. Addition and subtraction requires the terms to be "like terms" with the same power of the base 10, so you would need to change the second number to (0.026 x 10^5).

1 answer

HUH ????
Question 2
To find which number is one thousand times larger than 2.3 x 10^2, you would do the following steps.

a. Change 1,000 to Scientific notation and then subtract from (2.3 x 10^6)
b. Change 1,000 to Scientific notation and then multiply by (2.3 x 10^6)
c. Change 1,000 to Scientific notation and then add to (2.3 x 10^2)
Selected:d. Change 1,000 to Scientific notation and then divide by (2.3 x 10^6)
1000 = 10^3
(2.2*10^2 ) * 10^3 = 2.2 * 10^5
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