## Perform some calculations without a calculator which require a knowledge of place value.

##### Place ValueLevel 1Level 2Level 3Level 4DescriptionHelpMore Place Value

This is level 1: add and subtract numbers. You will be awarded a Transum trophy if you get at least 15 of the 18 questions correct and you do this activity online.

 4 + 10 600 + 5000 20000 − 3000 5 + 0.8 0.4 + 0.5 0.1 − 0.05 200 − 10 24 − 0.3 1 + 0.01 4000 − 50 12 − 0.3 16 + 0.04 30.4 − 0.95 3.91 − 0.017 0.087 + 0.043 28.32 − 0.48 11.05 − 0.013 0.09 + 0.046
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This is Know Your Place level 1. You can also try:
Place Value Level 2 Level 3 Level 4

## 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.

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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 2 May 'Starter of the Day' page by Angela Lowry, :

"I think these are great! So useful and handy, the children love them.
Could we have some on angles too please?"

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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## 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:

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

Transum,

Monday, November 10, 2014

"In the decimal number system the value of a digit depends on its position in the number. Each position has a value ten times the position to its right. This is unlike other number systems such as Roman numerals. It is this place value that makes arithmetic easier to perform. Make sure you know the position of the digits that represent thousands, hundreds, tens, units, tenths, hundredths and thousandths at least."

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:

For All:

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

https://Transum.org/go/?Num=59

## Description of Levels

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Level 1 - Add and subtract numbers

Level 2 - Multiply and divide numbers

Level 3 - Find the missing numbers in the calculations

Level 4 - Questions presented in words requiring answers in digits

More on this topic including lesson Starters, visual aids and investigations.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

## Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

## Help

In the decimal number system the value of a digit depends on its position in the number. Each position has a value ten times the position to its right. This is unlike other number systems such as Roman numerals. It is this place value that makes arithmetic easier to perform. Make sure you know the position of the digits that represent thousands, hundreds, tens, units, tenths, hundredths and thousandths at least.

Here is an interactive Place Value Chart to help with you calculations.

## Examples

60 x 70 = 6 x 10 x 7 x 10 = 42 x 100 = 4200

20000 ÷ 500 = 20 x 1000 ÷ 5 ÷ 100 = 4 x 10 = 40

Or 20000 ÷ 500 = 200 ÷ 5 = 40

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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