Level 4/5 Booster Lesson 1B Place value

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

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)

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

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.

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

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

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 10 000 = 30 000 Look carefully at this spider diagram before you move on.

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.

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

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.

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.

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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