Y10 Standard Form Lesson Slides: 8 Slides (10th Grade)

8 Slides • 10 Questions

1

Standard Form

Year 10 and Ms. Wenwen

2

3

By the end of the lesson you will be able to...

Understand the construction of standard forms
Convert between standard and ordinary forms
Express measurements using the standard form

4

Do you want to share your opinions or any findings?

0.0007vs 7 x 10^-4

8000000000 vs 8 x 10⁹

Expressing a very large or small number

5

a x 10^b, 1≤a<10, b∈Z

(Any number between 1 and 10) x 10^{positive or negative integer}

like 6.23492 x 10^-11

or 3.14 x 10⁷

6

Multiple Choice

Which of the options is in standard form?

1

2

3

4

7

3670000 = 3.67 x 1000,000 = 3.67 x 10⁶

- Positive indice

The "science" behind it

123456700 = 1.234567 x 100,000,000 = 1.234567 x 10⁸

8

Draw

Write these numbers in standard form

487

3600

999

9

Open Ended

Write these in ordinary form (as a number)

4 x 10³

4.09 x 10⁶

9.876 x 10⁵

Type response here

10

- Negative indice

0.08 = 8 x 10^-2 = 8 x 1/10² = 8 x 1/100 = 8 x 0.01

The "science" behind it

10¹ 10⁰ 10^-1 10^-2 10^-5

0.00015 = 15 x 0.0001 = 15 x 1/10000 = 15 x 1/10⁴ = 1.5 x 10^-4

11

Multiple Choice

Which of these can be written in standard form with a negative indice?

1

1.007

2

0.9685407

3

1.5

4

6.4

12

Draw

Write these in standard form:

0.89

0.0065

0.00203

13

Multiple Choice

Express 55,000,000 million in standard form

1

$5.5\ \times\ 10^7\ million$

2

$5.5\ \times\ 10^8\ million$

3

$5.5\ \times\ 10^6\ million$

4

$55000000\ million$

14

Fill in the Blanks

Express 89,760,000 miles in standard form

Type answer...

15

16

Fill in the Blanks

Calculate the answer and present it in ordinary form (a number).

Type answer...

17

Open Ended

Now present 6160,000 in standard form.

Type response here

18

Open Ended

Present your answer in standard form

Type response here

Standard Form

Year 10 and Ms. Wenwen

Show answer

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