Tomorrow you plan to download songs off iTunes. The size of your download is approximately 2.5 x 10^3 MB. Last week you downloaded 5.0 x 10^6 MB. How many times greater was the size of your download from last week compared to this week?
5.0 x 10^6 MB / 2.5 x 10^3 MB = 2 x 10^3 times bigger.
100
What does the Pythagorean Theorem state?
The Pythagorean Theorem states that given a right triangle the squares of the sum of the two smaller sides is equal to the square of the largest side (hypotenuse).
That is, a^2 + b^2 = c^2.
200
Is .45 x 10^4 in scientific notation? If not, change to scientific notation.
No but, 4.5 x 10^3 is in scientific notation.
200
(1.5 x 10^3)(9 x 10^4)
(1.5 x 10^3)(9 x 10^4) = 13.5 x 10^7 = 1.35 x 10^8
200
(6.3 x 10^7) / (3.0 x 10^2)
2.1 x 10^5
200
There are four cups of water. Each cup has 2.2 x 10^3 mL of dihydrogen monoxide. How much of dihydrogen monoxide is there in total?
2.2 x 10^3 mL * 4 = 8.8 x 10^3 mL.
200
Is the following a function?
{(1,0), (2,1), (3,2),(1,4)}
Explain why.
This is not a function since one input has two different outputs.
300
3.0 + 10^3
3.0 x 10^3.
300
(7 x 10^7)(2 x 10^8)
14 x 10^15 = 1.4 x 10^16
300
(2.0 x 10^(-3)) / (1.0 x 10^(-4))
2 x 10^1.
300
Mr. Hadzovic spends 3.0 x 10^4 seconds sleeping every night. Ms. Muzio (Mr. Hadzovic's girlfriend) spends 2.5 x 10^4 seconds sleeping every night. How many times greater does Mr. Hadzovic spend sleeping compared to Ms. Muzio.
1.2 times greater.
300
There are two functions. One can be represented by the equation y = 2x + 3 and the other is y = 3x + 3. Which function has a greater slope?
The second function: y = 3x + 3.
400
.05 x 10^6
5.0 x 10^4 is in scientific notation.
400
(5.2 x 10^6)(2 x 10^99)
10.4 x 10^105 = 1.04 x 10^106
400
(4.0 x 10^(-2)) / (2.0 x 10^4)
2.0 x 10^-6
400
Saturn has a mass of 5.683 x 10^26 kg. Earth has a mass of 5.972 x 10^24. Approximately how many times greater is Saturn's mass compared to Earth's?
About 100 times greater.
400
Which three transformations preserve size and shape?
Translation, rotation, and reflection.
500
176 x 10^7
1.76 x 10^9
500
(a x 10^r)(b x 10^s)
ab x 10^(r+s)
500
(3 x 10^4) / (9 x 10^6)
.33333... x 10^-2 = 3.33... x 10^-3
500
Anthony sends many text messages a month. On average he sends 3.6 x 10^3 texts a month. Joseph sends 1.2 x 10^2 texts a month. How many times greater is the amount of text messages that Anthony sends compared to Joseph?
3.6 x 10^3 / 1.2 x 10^2 = 3.0 x 10^1
500
There is a triangle with a = 4, b = 5, c = 3. Is this a right triangle?
Yes since 3^2 + 4^2 = 5^2. Be careful, c isn't always a label for hypotenuse.