Y10 Standard Form

Standard Form

Year 10 and Ms. Wenwen

Home

Open in new tab

Copy link

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

• $$5.5\ \times\ 10^7\ million$$

• $$5.5\ \times\ 10^8\ million$$

• $$5.5\ \times\ 10^6\ million$$

• $$55000000\ million$$

Fill in the Blanks

Express 89,760,000 miles in standard form

Home

Open in new tab

Copy link

Fill in the Blanks

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

Open Ended

Now present 6160,000 in standard form.

Open Ended

Present your answer in standard form