10 10 10 10 10 10 10 10 10 10 10

**Introduction to Standard Form**

Starter

Write these numbers as a power of 10:

(a) 100

(b) 1000

(c) 10000

(d) 1000000

(e) 0.1

(f) 0.0001

Standard form

Main Activity

Complete the introduction to standard index form worksheet.

**L.O. - To understand how numbers are written**

using standard form (Grade 5)

using standard form (Grade 5)

Starter

Write these numbers as a power of 10:

(a) 100

= 10

(b) 1000

= 10

(c) 10000

= 10

(d) 1000000

= 10

(e) 0.1

= 10

(f) 0.0001

= 10

2

3

4

6

-1

-4

6 5 4 3 2 1 0 -1 -2 -3 -4

1 0 0 0 0

= 1 x 10

4

3 0 0 0 0

3 0 0 0 0 0

0 0 0 3

1 5 0 0

10 10 10 10 10 10 10 10 10 10 10

Standard form

6 5 4 3 2 1 0 -1 -2 -3 -4

1 0 0 0 0

= 1 x 10

4

3 0 0 0 0

3 0 0 0 0 0

0 0 0 3

1 5 0 0

= 3 x 10

= 3 x 10

= 3 x 10

= 1.5 x 10

4

5

-3

3

10 10 10 10 10 10 10 10 10 10 10

Standard form

6 5 4 3 2 1 0 -1 -2 -3 -4

1 0 0 0 0

= 1 x 10

4

6 7 0 0 0

6 9 4 0 0 0

0 0 1 0 2

0 0 0 3 2

10 10 10 10 10 10 10 10 10 10 10

Standard form

6 5 4 3 2 1 0 -1 -2 -3 -4

1 0 0 0 0

= 1 x 10

4

6 7 0 0 0

6 9 4 0 0 0

0 0 1 0 2

= 6.7 x 10

= 6.94 x 10

=3.2 x 10

= 1.02 x 10

4

6

-3

-2

Main Activity

(1) 5.6 x 10 (2) 7 x 10 (3) 2.3 x 10 (4) 6.72 x 10 (5) 3.4 x 10

(6) 1.9 x 10 (7) 4.5 x 10 (8) 7.3 x 10 (9) 5.27 x 10 (10) 7.12 x 10

(11) 5.05 x 10 (12) 6.5 x 10

2

-1

1

3

-3

1

3

5

-3

6

-3

-6

(1) 1.2 x 10 (2) 1.9 x 10 (3) 7.82 x 10 (4) 4.26 x 10 (5) 6.7 x 10

(6) 5.4 x 10 (7) 2.07 x 10 (8) 7.6 x 10 (9) 2.04 x 10 (10) 8.1 x 10

(11) 3 x 10 (12) 4 x 10

3

6

-6

-4

-4

-3

0

7

-1

-4

-1

-5

1) 4 x 10 , 0.076, 6 x 10 , 67000, 9.2 x 10

2) 0.09, 2 x 10 , 3.1 x 10 , 47.6, 203

3) 9 x 10 , 5.7 x 10 , 45000, 4 x 10 , 2 x 10

4) 8 x 10 , 6.4 x 10 , 0.004, 3 x 10 , 0.9

5) 8 x 10 , 5 x 10 , 5.4 x 10 , 0.09, 0.5

6) 4.6 x 10 , 5.6 x 10 , 58.9, 1.2 x 10 , 420

-3

3

4

-1

1

-8

-6

5

7

-4

-3

-2

-4

-3

-2

-1

1

2

Main Activity

Dice of Ultimate Power

1) Give a key word for the lesson.

2) Summarise one key point for the

lesson.

3) Explain one thing you have learned this

lesson.

4) State one thing you still don't understand following this lesson.

5) Suggest one thing you would like to find out

based on this lesson.

6) Free choice from 1 to 5, or another you make

up.

**Key**

Examples

Examples

**Activities**

**Activity**

Answers

Answers

**Worked**

Example

Example

**Worked**

Example

Example

Standard Form

A number is in in standard (index)

form if it is written in the form

a x 10

where 1 < a < 10

.............. x 10

.....

A - C -

B - D -