Q:

Part ATheresa and her brother, Ruben, are getting phones that each have 32 gigabytes of storage. How many bits of storage come with each phone? Type your answer in both scientific and standard notation.Part BTheresa’s parents, Cal and Julia, are getting phones that each have 64 gigabytes of storage. How many bits of storage come with each phone? Type your answer in both scientific and standard notation.Part CBecause they are getting four new phones, the family also gets two free tablets. Each tablet has 16 gigabytes of storage. How many bits of storage come with each tablet?Part DTheresa talked her parents into getting SD cards for her phone and her brother’s phone. Inserting an SD card into a phone gives it more storage. They both get 8-gigabyte SD cards. How many bits of storage come with each SD card? Type your answer in both scientific and standard notation.Part EWith their plan, the family also gets access to storage on the cloud. They can store a total of 40 gigabytes on the cloud. How many bits of storage do they get on the cloud? Type your answer in both scientific and standard notation.

Accepted Solution

A:
Answer:Part A)scientific notation ------> [tex]2.56*10^{11}\ bits[/tex]standard notation ----->  [tex]256,000,000,000\ bits[/tex]Part B) scientific notation ------> [tex]5.12*10^{11}\ bits[/tex]standard notation ----->  [tex]512,000,000,000\ bits[/tex]Part C) scientific notation ------> [tex]1.28*10^{11}\ bits[/tex]standard notation ----->  [tex]128,000,000,000\ bits[/tex]Part D)scientific notation ------> [tex]6.4*10^{10}\ bits[/tex]standard notation ----->  [tex]64,000,000,000\ bits[/tex]Part E)scientific notation ------> [tex]3.2*10^{11}\ bits[/tex]standard notation ----->  [tex]320,000,000,000\ bits[/tex]Step-by-step explanation:we know that[tex]1\ Gigabyte=1*10^{9}\ bytes\\ 1\ byte=8\ bits[/tex]therefore[tex]1\ Gigabyte=8*10^{9}\ bits[/tex]Part ATheresa and her brother, Ruben, are getting phones that each have 32 gigabytes of storage. How many bits of storage come with each phone? Type your answer in both scientific and standard notationwe know thatEach phone have 32 gigabytes of storageso using proportion[tex]\frac{1}{8*10^{9}}\frac{\ Gigabytes}{\ bits} =\frac{32}{x}\frac{\ Gigabytes}{\ bits}\\ \\x=32*8*10^{9}\\ \\x=256*10^{9}\ bits\\ \\x=2.56*10^{11}\ bits[/tex]scientific notation ------> [tex]2.56*10^{11}\ bits[/tex]standard notation ----->  [tex]256,000,000,000\ bits[/tex]Part BTheresa’s parents, Cal and Julia, are getting phones that each have 64 gigabytes of storage. How many bits of storage come with each phone? Type your answer in both scientific and standard notation.we know thatEach phone have 64 gigabytes of storageso using proportion[tex]\frac{1}{8*10^{9}}\frac{\ Gigabytes}{\ bits} =\frac{64}{x}\frac{\ Gigabytes}{\ bits}\\ \\x=64*8*10^{9}\\ \\x=512*10^{9}\ bits\\ \\x=5.12*10^{11}\ bits[/tex]scientific notation ------> [tex]5.12*10^{11}\ bits[/tex]standard notation ----->  [tex]512,000,000,000\ bits[/tex]Part CBecause they are getting four new phones, the family also gets two free tablets. Each tablet has 16 gigabytes of storage. How many bits of storage come with each tablet?we know thatEach tablet have 16 gigabytes of storageso using proportion[tex]\frac{1}{8*10^{9}}\frac{\ Gigabytes}{\ bits} =\frac{16}{x}\frac{\ Gigabytes}{\ bits}\\ \\x=16*8*10^{9}\\ \\x=128*10^{9}\ bits\\ \\x=1.28*10^{11}\ bits[/tex]scientific notation ------> [tex]1.28*10^{11}\ bits[/tex]standard notation ----->  [tex]128,000,000,000\ bits[/tex]Part DTheresa talked her parents into getting SD cards for her phone and her brother’s phone. Inserting an SD card into a phone gives it more storage. They both get 8-gigabyte SD cards. How many bits of storage come with each SD card? Type your answer in both scientific and standard notationwe know thatEach SD card have 8 gigabytes of storageso using proportion[tex]\frac{1}{8*10^{9}}\frac{\ Gigabytes}{\ bits} =\frac{8}{x}\frac{\ Gigabytes}{\ bits}\\ \\x=8*8*10^{9}\\ \\x=64*10^{9}\ bits\\ \\x=6.4*10^{10}\ bits[/tex]scientific notation ------> [tex]6.4*10^{10}\ bits[/tex]standard notation ----->  [tex]64,000,000,000\ bits[/tex]Part EWith their plan, the family also gets access to storage on the cloud. They can store a total of 40 gigabytes on the cloud. How many bits of storage do they get on the cloud? Type your answer in both scientific and standard notationwe know thatThe cloud have 40 gigabytes of storageso using proportion[tex]\frac{1}{8*10^{9}}\frac{\ Gigabytes}{\ bits} =\frac{40}{x}\frac{\ Gigabytes}{\ bits}\\ \\x=40*8*10^{9}\\ \\x=320*10^{9}\ bits\\ \\x=3.2*10^{11}\ bits[/tex]scientific notation ------> [tex]3.2*10^{11}\ bits[/tex]standard notation ----->  [tex]320,000,000,000\ bits[/tex]