Standard Form: Writing Large and Small Numbers in Science

1. Standard Form 2-Jan-20 Key Objective: To practice how we write numbers in Science ALL: Write very large numbers in Standard Form MOST: Write very small numbers in Standard Form SOME: Be able to name numbers in Standard form • Starter • On your whiteboards, write down the names of these numbers in words: • 100 b) 5,000 c) 30,000 • 700,000 e) 4,000,000 • Challenge: f) 1/1000 g) 1/1,000,000 Language for Learning Centi- kilo- mega- milli- deci- micro- nano-

2. HOMEWORK Look up the following terms: Discontinuous data Continuous data Due Date: Next Lesson

3. Standard Form Scientists like to make their jobs easy. We’ve come up with a number of ways to keep things as simple as possible. What you learn today you can use in any other subject. Use your calculator to work this number out: 537 x 269 = 144,453 This is an easy number to say….but what about this number…… 4,500,000,000 or this one 0.000,000,000,001 Do you really want to spend all your time working out those zeros

4. Standard Form To get around these problems, we use Standard Form This system makes use of "powers of 10", raising 10 to whatever value you need. You can get either really big numbers by using positive powers like: 100 000 = 105 You can also show really small numbers by using negative powers like: 0.00001 = 10-5

5. Standard Form Put the following numbers into your calculator as they are. Can you do any calculations on them? What did the numbers look like on your calculator? (a) 3200 (b) 5 600 000 (c) 2 800 000 000 000 (d) 0.000000000000341 So how do we make these numbers easier?

6. Standard Form Look at this number: 4 505 000 000 000 000 000 How many numbers are there behind the 4? 18 Start counting from here to get the power of 10. We write: 18 4.505 X 10

7. Standard Form Look at this number: 630 000 How many numbers are there behind the 6? 5 Start counting from here to get the power of 10. We write: 5 6.3 X 10

8. Standard Form Look at this number: This is the mass of the Earth 6 972 000 000 000 000 000 000 000 How many numbers are there behind the 6? 24 Start counting from here to get the power of 10. We write: 24 6.972 X 10

9. Standard Form Complete Activity 1

10. Standard Form For fractions we count how far back the first digit is from the decimal point: 0.00000342 How many zeroes are there until the first number? 6 Start counting from here to get the power of 10. We write: - 6 3.42 X 10

11. Standard Form For fractions we count how far back the first digit is from the decimal point: 0.0071 How many zeroes are there until the first number? 3 Start counting backwards from here to get the power of 10. We write: - 3 7.1 X 10

12. Standard Form Complete Activity 2

13. Standard Form Let’s go back to our starter: • 100 • 5,000 • 30,000 • 700,000 • 4,000,000 • 1/1000 • 1/1,000,000 What if we were measuring mass? What would (a) be? 100 grams (or 100g if you want to be level 6/7) What would (b) be? 5000 grams (or 5000g)

14. Standard Form Here is a little secret, a good scientist will always try to find an easier way of saying things. Saying “Five thousand grams” every time is a bit long. THINK! PAIR! SHARE! WHITEBORDS! Can you come up with an easier way of saying “Five thousand grams”? 5000g is equal to 5 kilograms What number do you think “kilo” means? kilo means 1000

15. Standard Form We have all sorts of short cuts. Try and match the name to the number using the domino tiles. When your teacher says you have one complete the table you have been given and stick it in. Eg) Kilo = 1000

16. Standard Form WHITEBOARDS OUT Write the prefix for the following numbers….. 1,000,000 0.001 0.000000001 0.000001 0.1 0.01 1,000