Number Booster 1 Writing Numbers in Standard Form

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Number Booster 1 Writing Numbers in Standard Form Check: Learn: Maths Watch Reference 97 Standard form questions appear on the non

Ignore later parts to questions involving calculations. You need to learn how to convert between normal numbers and standard form.

Numbers written in standard form have two parts: Any number can be written using standard form, however it is usually used to

1 Number Booster 1 Writing Numbers in Standard Form Check: Learn: Maths Watch Reference 97 Standard form questions appear on the non calculator paper. You can easily learn how to answer the first part of most questions for 2 marks. Ignore later parts to questions involving calculations. You need to learn how to convert between normal numbers and standard form. 2 x and 1.5 x are examples of a number written in standard form. Numbers written in standard form have two parts: Any number can be written using standard form, however it is usually used to write very large or very small numbers. Large Numbers: The mass of the planet earth is about kg We can write this in standard form as a number between 1 and 10 multiplied by a power of 10.

Small Numbers: We can write very small numbers using negative powers of ten.

We write this in standard form as: Mathswatch Clip 97 Standard Form Practice: 1) Change the following to normal

2034 10 2 f) 4 10 5 2) Change the following to normal (or ordinary) numbers. a) 4.3 10-4 c) 7.03 10-3 e) 1.

2 Small Numbers: We can write very small numbers using negative powers of ten. The width of this shelled amoeba is m. We write this in standard form as: Mathswatch Clip 97 Standard Form Practice: 1) Change the following to normal (or ordinary) numbers. a) c) e) b) d) f) ) Change the following to normal (or ordinary) numbers. a) c) e) b) d) f) ) Change the following to standard form. a) 360 c) e) b) d) f) ) Change the following to standard form. a) 0.71 c) e) b) d) f)

3 Exam Preparation:

6S) Find the size of angle y. Clip 150 y = 138 Confirm: 84 o Number Booster 2 Repeated y Percentage Change (Compound) Check: 7T) a) John places 13000 in a bank which pays 4.

4 6S) Find the size of angle y. Clip 150 y = 138 Confirm: 84 o Number Booster 2 Repeated y Percentage Change (Compound) Check: 7T) a) John places in a bank which pays 4.6% compound interest per year. How much interest does he earn if he leaves the money in the bank for 3 years? b) Sue buys a new car for Its annual rate of depreciation is 23% per year. How much is it worth after 5 years? Grade B Clip 142 a) b) Learn: 7S) a) Sarah buys a 5-year bond which pays compound a) Maths interest Watch of Reference 5.8% per year. 142 She buys the bond for How much can she cash the bond in for at This topic the end will of be the on 5 year the calculator period? paper. Instead of calculating a simple percentage increase or decrease you will need to be able to calculate a percentage change over a period b) Tom of time, buys known a house as for compound Questions are often related b) to interest rates. It will depreciate at the rate of 2.3% per year for the next three years. How much will it then be worth? Page 44 MathsWatch mathswatch@aol.co.uk Page 44

7 Mathswatch Clip 137 Compound Interest/Depreciation 1) Henry places 6000 in an account which pays 4.6% compound interest each year. Calculate the amount in his account after 2 years. 2) Sarah puts 8600 in a bank. The bank pays compound interest of 3.8% per year. Calculate the amount Sarah has in her account after 4 years. 3) Mary deposits in an account which pays 5.6% compound interest per year. How much will Mary have in her account after 5 years? 4) Susan places 7900 in an account which pays 2.4% compound interest per year. How much interest does she earn in 3 years? 5) Harry puts money into an account which pays 6% compound interest per year. If he puts in the account for 5 years how much interest will he earn altogether? 6) Laura buys a new car for The annual rate of depreciation is 23%. How much is the car worth after 3 years? 7) The rate of depreciation of a particular brand of computer is 65% per year. If the cost of the computer when new is 650 how much is it worth after 2 years? 8) Sharon pays 3500 for a secondhand car. The annual rate of depreciation of the car is 24% How much will it be worth four years after she has bought it? 9) Dave places in an account which pays 4% compound interest per year. How many years will it take before he has in the bank? 10) A new motorbike costs The annual rate of depreciation is 18% per year. After how many years will it be worth ? Page 130

8 Exam Preparation:

x o 6S) Find the size of angle y. Grade B Clip 150 y = 138 84 o y 7T) a) John places 13000 in a bank which pays 4.6% compound interest per year.

9 x o 6S) Find the size of angle y. Grade B Clip 150 y = o y 7T) a) John places in a bank which pays 4.6% compound interest per year. How much interest does he earn if he leaves the money in the bank for 3 years? b) Sue buys a new car for Its annual rate of depreciation is 23% per year. How much is it worth after 5 years? Confirm: Grade B Clip 142 7S) a) Sarah buys a 5-year bond which pays compound interest of 5.8% per year. She buys the bond for How much can she cash the bond in for at the end of the 5 year period? b) Tom buys a house for It will depreciate at the rate of 2.3% per year for the next three years. How much will it then be worth? a) b) a) b) Page 44 MathsWatch mathswatch@aol.co.uk Page 44

Standard Form Calculation

Clip Standard Form Calculation ) Work out the following, giving your answer in standard form. a) (6 0 ) ( 0 ) c) 0 6 0 - b) ( 0 ) + ( 0 ) d) (9. 0 ) ( 0 ) ) A spaceship travelled for 0 hours at a speed