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Understanding Multiplication by 10 and 100: A Guide for Beginners

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This guide explains how to multiply integers up to 1000 by 10 and 100, highlighting the significant effect of these operations. When you multiply a number by 10, you increase its value tenfold, which shifts the digits to the left and adds a zero in the units place. Similarly, multiplying by 100 shifts the digits two places and adds two zeros. The guide includes examples, exercises, and reinforces the importance of place value in the decimal system, keeping the learning engaging and interactive.

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Understanding Multiplication by 10 and 100: A Guide for Beginners

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  1. L.O. - Multiply an integer up to 1000 by 10; understand the effect. Multiplying by 10 When we multiply by 10 we are making the number ten times bigger.

  2. x10 x10 x10 In the decimal system, each column has numbers 10 x bigger than the next one 1000 100 10 1

  3. x10 x10 x10 Let’s try it with another number! 3 0 0 0 3 3 0 0 3 0

  4. If we multiply 6 by ten it will move into the next column x10 We must put a 0 in the empty units column to hold the place – 6 x 10 = 60

  5. 200 20 30 3 Let’s try with some other numbers Don’t forget to add the zero in the empty column! 23 x 10 = 230

  6. Let’s try these together! 48 x 10 = 93 x 10 = 134 x 10 = 256 x 10 = 889 x 10 = 480 930 1340 2560 8890 Were you right?

  7. If we multiply 6 by a hundred it will move up two columns We must put a 0 in the empty columns to hold the place – 6 x 100 = 600

  8. Let’s try these together! 8 x 100 = 15 x 100 = 28 x 100= 134 x 100 = 267 x 100 = 800 1500 2800 13400 26700 Were you right?

  9. Now you are going to try some yourselves!

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