Y9 Booster Lesson1. Objectives- what we should be able to do by the end of the lesson Multiply and...

Y9 BoosterLesson1

Objectives- what we should be able to do by the end of the lesson

• Multiply and divide whole numbers and decimals by 10, 100 and 1000.

• Multiply and divide whole numbers and decimals by 0.1 and 0.01

• Know powers of 10

Place value chart M1.1

0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008 0.009

0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09

0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9

1 2 3 4 5 6 7 8 9

10 20 30 40 50 60 70 80 90

100 200 300 400 500 600 700 800 900

1000 2000 3000 4000 5000 6000 7000 8000 9000

Write down the number five point seven.

Multiply the number by 10. Record your answer.

Explain to a partner how you arrived at your answer.

What has happened to the digits?

The decimal point does not move!! The digits move one place to the left.

As the following numbers appear multiply them by 10.

1.4 1.92 6.75 12.82 0.638

As the numbers appear multiply by 100.

1.56 2.50.67 8.324 16.8

What does 10² mean?

What does 10³ mean?

How do you write 10 000 as a power of 10?

How do you write 10 as a power of 10?

How do you write 1 as a power of 10?

1 = 10º = 1

How can you tell what power of ten it is by looking at the number? Give another example and explain your working.

What do you think 0.1 is as a power of 10?

10 x 10 x 10 = 10³ = 1 000

10 x 10 = 10² = 100

10 = 10¹ = 10

0.1 = 10ˉ¹ = 0.1

10ˉ¹ = 0.1

10ˉ² = 0.01

What is 6.3 x 10² ?

What is 4.56 x10³ ?

What is 63.2 x 10ˉ¹ ?

What is 6.1 x 10ˉ² ?

What is 34.5 ÷ 10² ?

What is 2.34 ÷ 10ˉ¹ ?

What is 14.87 ÷ 10º ?

What power of 10 can you multiply a number by and leave the number unchanged?

0.57 x 100 = 57 0.57 ÷ 0.01 = 57

Explain why the above is true.

Give the division sum with the same answer as this multiplication.

6.24 x 100 = 624

Give the multiplication sum with the same answer as this division.

0.4 ÷ 10ˉ² = 40

6.24 ÷ ? = 624

0.4 x ? = 40

Place value spider diagram M1.2

Discuss with a partner why these answers are true.

Consider other solutions, using digits 4, 0 and 1 only.

Place value target boardM1.3

0.4 17.6 3

0.33 30 156

4000 1.56 1.76

3.3 0.0176 0.0003

If I divide a number by 0.1 and then by 0.1 again my answer is 0.03. What number did I start with?

Think of a question for which the answer is on the target board. Ask a partner to see if they can answer your question?

Objectives-how have we done?

• Multiply and divide whole numbers and decimals by 10, 100 and 1000.

• Multiply and divide whole numbers and decimals by 0.1 and 0.01

• Know powers of 10

Thank you for your attention