Y10 Standard Form

Standard Form

Year 10 and Ms. Wenwen

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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

Do you want to share your opinions or any findings?

​0.0007 vs 7 x 10^-4

​8000000000 vs 8 x 10⁹

Expressing a very large or small number

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

Multiple Choice

Which of the options is in standard form?

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

Draw

Write these numbers in standard form

487

3600

999

Open Ended

Write these in ordinary form (as a number)

4 x 10³

4.09 x 10⁶

9.876 x 10⁵

- 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

Multiple Choice

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

• 1.007

• 0.9685407

• 1.5

• 6.4

Draw

Write these in standard form:

0.89

0.0065

0.00203

Multiple Choice

Express 55,000,000 million in standard form

• $$5.5\ \times\ 10^7\ million$$

• $$5.5\ \times\ 10^8\ million$$

• $$5.5\ \times\ 10^6\ million$$

• $$55000000\ million$$

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Fill in the Blanks

Open Ended

Now present 6160,000 in standard form.

Open Ended

Present your answer in standard form