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Level 4/5 Booster Lesson 1B Place value

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**Place value decimal point digit Objectives:**

Understand and use decimal place value. Multiply and divide by 10 and 100 and explain the effect. Vocabulary Place value decimal point digit

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**35 350 3500 H T U Multiply this number by 10 What is your answer?**

What has happened to all of the digits? 3 tens become 3 hundreds, 5 units become 5 tens Each digit in the number has moved one column to the left. Th H T U What happens when we multiply by 100? 3500 (each digit in the number moves 2 columns to the left)

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**Multiply each of the following numbers by 10, as they appear.**

40 23 123 56 230 560 1230 400 Multiply each of the following numbers by 100, as they appear. 340 35 213 20 3500 2000 34 000 21300

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**46 4.6 0.46 . t T U U . t U . t h Divide this number by 10**

What is your answer? U t 4.6 Explain what has happened to each of the digits. The 4 tens become 4 units, the 6 units become 6 tenths. Each of the digits in the number has moved one column to the right. U t h What happens when we divide by 100? 0.46 Each of the digits in the number moves two columns to the right.

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**Divide each of the following numbers by 10, as they appear.**

57 70 350 134 5.7 13.4 35.0 7.0 Divide each of the following numbers by 100, as they appear. 409 450 50 39 4.50 4.09 0.50 3.9

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T1.1B As the number is highlighted multiply or divide by powers of 10 as instructed. 400 3 30 500 1000 70 9 40 20 50 200 8 300 5 60 700

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30 3 0.3 3000 30000 300 3 x 1 = 3 3 x 10 = 30 X ? X ? X ? 3 x 0.1 = 0.3 3 x 1000= 3000 X ? X ? X ? 3 x 100 = 300 3 x = Look carefully at this spider diagram before you move on.

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**Multiplication Spider Diagram**

W/S1.1B Using worksheet W/S 1.1B complete your own multiplication spider diagram. Choose your own number in the middle. Now check your answers using a calculator.

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**Try to state the answer before it appears on the spider diagram.**

4.65 ÷ 100 ÷ 10 46.5 465 ÷ 1 000 465 ÷ 1 0.465

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**Now check your answers on a calculator before you move on.**

Division Spider Diagram W/S 1.2B Start with a number of your choice in the middle and complete the division spider diagram. Now check your answers on a calculator before you move on.

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T1.2B 0.3 30 6 40 400 5 0.6 0.5 50 4 300 0.4 3 500 60 600 I divided by ten and my answer is 0.6 – what number did I start with? I multiplied by 100 and my answer is 40 – what number did I start with? Make up three questions like the ones above and try them out on someone else – explain your working to them if necessary.

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**Place value decimal point digit Objectives:**

Understand and use decimal place value. Multiply and divide by 10 and 100 and explain the effect. Vocabulary Place value decimal point digit

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**Thank you for your attention**

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