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# Converting Standard Units

## Converting measurements of length, area, volume, mass and time from one unit to another.

##### MileometerLengthAreaVolumeMassTimeDigitalMixedHelpMore

This is level 6; Digital. You can earn a trophy if you get at least 9 correct and you do this activity online.

The SI value (for example 1 kB = 1000 bytes) is used in these questions rather than the binary value. Click the Help tab above for more information.

 Convert 2GB to MB MB Convert 4TB to GB GB Convert 3000B to kB kB Convert 5800MB to GB GB Convert 2944B to kB kB Convert 5789GB to TB TB A laptop has 12GB of RAM. Convert this to megabytes. MB My wifi speed is 453Mbps. Convert this to gigabits. Gb A laptop has a 800GB SSD. Convert this to kilobytes. kB How many 2MB digital photographs can be stored on 1GB of storage? How many 5MB digital music files can be stored on 5GB of storage? How long will it take a 40MB file to download with a 160Mbps connection? s
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This is Converting Standard Units level 6. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5 Level 7

## Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

## Transum.org

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

## More Activities:

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 18 September 'Starter of the Day' page by Mrs. Peacock, Downe House School and Kennet School:

"My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions."

Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield:

"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."

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#### Connect 4 Factors

A mathematical version of the popular Connect 4 game based on getting four numbers with a common factor in a line. Fun for one, two or a whole class of pupils.

There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

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## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

## Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

## Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

It may be worth remembering that if Transum.org should go offline for whatever reason, there are mirror sites at Transum.com and Transum.info that contain most of the resources that are available here on Transum.org.

When planning to use technology in your lesson always have a plan B!

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

For Students:

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Scan the QR code below to visit the online version of this activity.

https://Transum.org/go/?Num=520

## Common Units

### Digital Units of Information

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These digital 'units of information' describe the capacity of standard data storage. You may have come across them when reading about the specifications of a computer or the speed of a wifi connection.

The basic unit is the byte (equal to eight bits) and is the amound of storage needed to store one character (a letter, punctuation mark or number).

The SI prefixes use powers of ten nearest the multiples of ten power of two of the binary values. The SI units make calculations much easier to do mentally.

Symbol Name SI value Binary value Size difference
B byte 8 bits 8 bits
kB kilobyte 103 = 1000 bytes 210 = 1024 bytes 2.40%
MB megabyte 106 bytes 220 bytes 4.86%
GB gigabyte 109 bytes 230 bytes 7.37%
TB terabyte 1012 bytes 240 bytes 9.95%
PB petabyte 1015 bytes 250 bytes 12.59%
EB exabyte 1018 bytes 260 bytes 15.29%
ZB zettabyte 1021 bytes 270 bytes 18.06%
YB yottabyte 1024 bytes 280 bytes 20.89%