Question

Question 1Part 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.Question 2Part AIncluding the SD cards, how many combined bits of storage do Theresa and Ruben have on their phones? Type your answer in scientific notationPart BHow many combined bits of storage do Theresa’s parents have on their phones? Type your answer in scientific notation.Part CHow many combined bits of storage are there on the two tablets?Part DIncluding the phones, tablets, and cloud, how many total bits of storage does the family have altogether? Type your answer in scientific notation.Part ETheresa’s computer at home has 1 terabyte of storage. How many more bits of storage does her computer have than the combined bits available on her family’s phones, tablets, and cloud storage? Type your answer in scientific notation.

Answer 1

Part A) If each phone has 32 gigabytes of storage, to convert to bits we find the value of 1gigabyte in bits

1gigabyte = 8 x 10^9

32 gigabyte = 32 x 8 x 10^9 = 256 x10^9 bits

scientific notation = 256 x 10^9 bits

standard notation =256000000000 bits

Part B) If Cal and Julia have 64-gigabyte phone storages each, in bits this will be

=64 x 8 x 10^9

= 512 x10^9 bits

scientific notation = 512 x 10^9 bits

standard notation = 512000000000 bits

Part C) Each tablet is 16 gigabytes

16 gigabytes in bits = 16 x 8 x10^9 = 128 x 10^9 bits

so there will be 128x 10^9 bits on each tablet

Part D) Each SD card has 8-gigabyte

8-gigabyte in bits = 8 x 8 x 10^9 = 64 x 10^9 bits

so each SD card will have 64 x 10^9 bits storage space

scientific notation = 64 x 10^9 bits

standard notation = 64000000000 bits

Part E)They have 40 gigabytes storage of data on the cloud

40 gigabyte of data in bits = 40 x 8 x 10^9 = 320 x 10^9 bits

Scientific notation = 320 x 10^9 bits

Standard notation = 320000000000 bits

2) Part A

Theresa and Reuben phone bits plus SD card bits = 2(256000000000) [phone]) =2(256 x 10^9 ) + 2(64x10^9) = 512 x10^9 + 128x10^9 =10^9(512 + 128) = 640 x 10^9 bits

Part B) Theresa's parents have a combined storage of 2(512x10^9) bits

= 1024 x10^9 bits

Part C) On two tablets there will be 2(128x10^9) = 256 x10^9 bits

Part D) Phones, tablets and clouds will have ---- 2(256 x 10^9) + 4(512 x10^9) + 320 x10^9

=512 x10^9 + 2048 x10^9 +320 x10^9 = 10^9(512+2048+256) = 2,816 x10^9 bits

Part E)