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Data Storage worksheet

Grades 5–6 · CCSS 5.NBT.A.2, 6.RP.A.3.d

Solve each problem and show your work. Round answers to 2 decimal places where needed.

1.
Problem 1.
- Amount of data: 700
- From: Petabytes (PB)
- To: Bits (bit)
Find: In bits
Answer
2.
Problem 2.
- Amount of data: 575
- From: Petabytes (PB)
- To: Kibibytes (KiB)
Find: In kibibytes
Answer
3.
Problem 3.
- Amount of data: 400
- From: Megabits (Mbit)
- To: Megabytes (MB)
Find: In megabytes
Answer
4.
Problem 4.
- Amount of data: 340
- From: Kilobytes (kB)
- To: Mebibytes (MiB)
Find: In mebibytes
Answer
5.
Problem 5.
- Amount of data: 450
- From: Terabytes (TB)
- To: Mebibytes (MiB)
Find: In mebibytes
Answer
6.
Problem 6.
- Amount of data: 600
- From: Mebibytes (MiB)
- To: Megabits (Mbit)
Find: In megabits
Answer
7.
Problem 7.
- Amount of data: 400
- From: Gigabits (Gbit)
- To: Mebibytes (MiB)
Find: In mebibytes
Answer
8.
Problem 8.
- Amount of data: 410
- From: Megabits (Mbit)
- To: Kibibytes (KiB)
Find: In kibibytes
Answer
9.
Problem 9.
- Amount of data: 600
- From: Petabytes (PB)
- To: Gibibytes (GiB)
Find: In gibibytes
Answer
10.
Problem 10.
- Amount of data: 700
- From: Bytes (B)
- To: Kibibytes (KiB)
Find: In kibibytes
Answer

Answer key: Data Storage worksheet

1. In bits: 5.6e+18 bit
1. First change to bytes, the shared unit every size is measured in. 1 PB = 1e+15 B, so multiply
  $700 PB \times 1e+15$ $= 7e+17 B$
2. Then change bytes to bits. 1 bit = 0.125 B, so divide
  $\frac{7e+17 B}{0.125}$ $= 5.6e+18 bit$
2. In kibibytes: 561,523,437,500,000 KiB
1. First change to bytes, the shared unit every size is measured in. 1 PB = 1e+15 B, so multiply
  $575 PB \times 1e+15$ $= 5.75e+17 B$
2. Then change bytes to kibibytes. 1 KiB = 1,024 B, so divide
  $\frac{5.75e+17 B}{1,024}$ $= 561,523,437,500,000 KiB$
3. In megabytes: 50 MB
1. First change to bytes, the shared unit every size is measured in. 1 Mbit = 125,000 B, so multiply
  $400 Mbit \times 125,000$ $= 50,000,000 B$
2. Then change bytes to megabytes. 1 MB = 1,000,000 B, so divide
  $\frac{50,000,000 B}{1,000,000}$ $= 50 MB$
4. In mebibytes: 0.32 MiB
1. First change to bytes, the shared unit every size is measured in. 1 kB = 1,000 B, so multiply
  $340 kB \times 1,000$ $= 340,000 B$
2. Then change bytes to mebibytes. 1 MiB = 1,048,576 B, so divide
  $\frac{340,000 B}{1,048,576}$ $= 0.3242492676 MiB$
5. In mebibytes: 429,153,442.38 MiB
1. First change to bytes, the shared unit every size is measured in. 1 TB = 1,000,000,000,000 B, so multiply
  $450 TB \times 1,000,000,000,000$ $= 450,000,000,000,000 B$
2. Then change bytes to mebibytes. 1 MiB = 1,048,576 B, so divide
  $\frac{450,000,000,000,000 B}{1,048,576}$ $= 429,153,442.3828125 MiB$
6. In megabits: 5,033.16 Mbit
1. First change to bytes, the shared unit every size is measured in. 1 MiB = 1,048,576 B, so multiply
  $600 MiB \times 1,048,576$ $= 629,145,600 B$
2. Then change bytes to megabits. 1 Mbit = 125,000 B, so divide
  $\frac{629,145,600 B}{125,000}$ $= 5,033.1648 Mbit$
7. In mebibytes: 47,683.72 MiB
1. First change to bytes, the shared unit every size is measured in. 1 Gbit = 125,000,000 B, so multiply
  $400 Gbit \times 125,000,000$ $= 50,000,000,000 B$
2. Then change bytes to mebibytes. 1 MiB = 1,048,576 B, so divide
  $\frac{50,000,000,000 B}{1,048,576}$ $= 47,683.7158203125 MiB$
8. In kibibytes: 50,048.83 KiB
1. First change to bytes, the shared unit every size is measured in. 1 Mbit = 125,000 B, so multiply
  $410 Mbit \times 125,000$ $= 51,250,000 B$
2. Then change bytes to kibibytes. 1 KiB = 1,024 B, so divide
  $\frac{51,250,000 B}{1,024}$ $= 50,048.828125 KiB$
9. In gibibytes: 558,793,544.77 GiB
1. First change to bytes, the shared unit every size is measured in. 1 PB = 1e+15 B, so multiply
  $600 PB \times 1e+15$ $= 6e+17 B$
2. Then change bytes to gibibytes. 1 GiB = 1,073,741,824 B, so divide
  $\frac{6e+17 B}{1,073,741,824}$ $= 558,793,544.7692871 GiB$
10. In kibibytes: 0.68 KiB
1. Then change bytes to kibibytes. 1 KiB = 1,024 B, so divide
  $\frac{700 B}{1,024}$ $= 0.68359375 KiB$