Y9 Booster
Lesson1
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.
As the numbers appear multiply by 100.
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?
0.1
1
10
10 x 10
10 x 10 x 10
=
10ˉ¹
=
0.1
=
=
10º
10¹
=
=
1
10
=
10²
=
100
=
10³
=
1 000
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?
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
6.24 ÷
= 624
?
Give the multiplication sum with the same
answer as this division.
0.4 ÷ 10ˉ² = 40
0.4 x ?
= 40
Place value spider diagram
Discuss with a partner why these answers are true.
Consider other solutions, using digits 4, 0 and 1 only.
Place value target board M1.3
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?
0.4
0.33
17.6
30
3
156
4000
3.3
1.56
0.0176
1.76
0.0003
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