In this pdf, we will be Multiplying and Dividing Decimals by 10, 100 and 1000.
1. Multiplying and Dividing Decimals by 10, 100 and 1000. Hopefully you are now feeling more confident when working with decimal numbers. We are now moving on to looking at what happens when we multiply or divide a decimal number by 10, 100 or 1000. You might remember doing this with whole numbers at the start of the year. A place value grid can really help complete these calculations. You could make your own, or there are lots that you can download on the internet. Multiplying Decimal Numbers by 10, 100 and 1000 When we multiply by 10, the number gets 10 times bigger. Therefore, the number moves one place to the left on our place value grid. When we multiply by 100, the number gets 100 times bigger. Therefore, the number moves two places to the left on our place value grid. When we multiply by 1000, the number gets 1000 times bigger. Therefore, the number moves three places to the left on our place value grid. Example: If I multiply 3.24 by 10, all my counters will move one place to the left. My ones will move to the tens, my tenths will move to the ones, and my hundredths will move to the tenths. 3.24 x 10 = 32.4 If I multiply 3.24 by 100, all my counters will move 2 places to the left. If I multiply 3.24 by 1000, all my counters will move three places to the My ones will move to the hundreds, my tenths will move to left. the tens and my hundredths will move to the ones. Can you work out what the answer will 3.24 x 100 = 324 be? (if you don’t have any decimal values left, you do not have to Do you need to use any place value include a decimal point in your answer) holders?
2. Dividing Decimal Numbers by 10, 100 and 1000 When we divide by 10, the number gets 10 times smaller. Therefore, the number moves one place to the right on our place value grid. When we divide by 100, the number gets 100 times smaller. Therefore, the number moves two places to the right on our place value grid. When we multiply by 1000, the number gets 1000 times smaller. Therefore, the number moves three places to the right on our place value grid. If I divide 14.4 by 10, all my counters will move one place to the right. My tenths will move to hundredths, my ones will move to tenths and my tens will move to the ones. 14.4 ÷ 10 = 1.44 If I divide 14.4 by 100, all my counters will move two If I divide 14.4 by 1000, all my counters places to the right. will move three places to the right. My tenths will become thousandths, my ones will become Can you work out what the answer will hundredths and my tens will become tenths. be? 14.4 ÷ 100 + 0.144 Where will your place holders need to Now I no longer have any ones I use 0 as a place holder. go? Useful videos This video focuses on whole numbers, rather than decimals. However, it does remind you the rules we use when we multiply or divide a number by 10 and 100. If you are not confident, I would suggest watching this before moving onto decimals: https://www.bbc.co.uk/bitesize/topics/z36tyrd/articles/z2fkwxs In this video, they talk you through multiplying and dividing decimals by 10, 100 and 1000. It might be helpful to have a pencil and paper or place value grid to hand when you watch it: https://www.youtube.com/watch?v=6fLNcGSa_L4 This video demonstrates how you can use a place value grid to help you:
3. Multiplying and Dividing Decimals - Challenges We know that lots of you like to take on a challenge during our maths lessons. These challenges are not compulsory, but are there for anyone who wishes to give them a go. Good luck! All of these challenges were taken from the White Rose Maths Hub. They have also produced a ‘Home Learning’ section to their website. On here are videos which may help you with your learning. https://whiterosemaths.com/homelearning/year-5/
4. Place Value Grid Below is an example of a place value grid taken from Twinkl. You can easily draw your own at home to use or print off an example from the internet, just make sure it has decimal places on it.
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