Level 2

Functional SkillsMathematics

Learning Resource 1Understanding Number

N1/L2.1

UNDERSTANDING NUMBER LEVEL 2

©West Nottinghamshire College 2

1Excellence in skills development

Contents Place Value N1/L2.1 Pages 3 - 5 Understanding Negative Numbers N1/L2.1 Pages 6 - 10

UNDERSTANDING NUMBER LEVEL 2 N1/L2.1

©West Nottinghamshire College 3

1Excellence in skills development

Learning Objective Place Value Learners should be taught to read, write, order and compare positive and negative numbers of any size in a practical context, and to understand that the position of a digit signifies its value, including the use of zero as a place holder. Information The position of a digit in a number shows its value, this is known as its place value: 100 one hundred 1000 one thousand 10,000 ten thousand 100,000 one hundred thousand 1,000,000 one million

5,374,618 five million, three hundred and seventy four thousand, six

hundred and eighteen The zeros in the numbers given above are known as place holders. Examples Very large numbers are usually rounded to one decimal place.

6,734,508,713 six billion, seven hundred and thirty four million, five hundred and eight thousand, seven hundred and thirteen - rounded to 6.7 billion

9,822,017 nine million, eight hundred and twenty two thousand and

seventeen - rounded to 9.8 million The population of the United Kingdom in 2001 was 58,789,194 (58.8 million)

Statistics taken from the 2001 Census

• England 49,138,831 (49.1 million) • Scotland 5,062,011 (5 million) • Wales 2,903,085 (2.9 million) • Ireland 1,685,267 (1.7 million)

UNDERSTANDING NUMBER LEVEL 2 N1/L2.1

©West Nottinghamshire College 4

1Excellence in skills development

Exercise 1 Place Value 1) What is the largest and smallest integer you can make using all of these digits? (An integer is a whole number.)

e.g. 7 5 7 0 9 1 Largest: 977,510 Smallest: 105,779

a) 8 5 6 0 2 4 Largest: _____________ Smallest: _____________

b) 4 0 9 1 3 6 Largest: _____________ Smallest: _____________

c) 2 8 1 0 4 5 Largest: _____________ Smallest: _____________ 2) a) Order these numbers from the smallest to the largest in the grid below.

9477 974 79,734 977,872 79 9,377,774

b) Write out the full amount in words at the side of each number.

Number Number in words

3) Underline the thousands digit/s in the following and write out the full amounts in

words.

e.g. 567,541 Five hundred and sixty seven thousand, five hundred and forty one.

21,648 ______________________________________________ 8759 ______________________________________________ 272,019 ______________________________________________

UNDERSTANDING NUMBER LEVEL 2 N1/L2.1

©West Nottinghamshire College 5

1Excellence in skills development

Exercise 2 Place Value 1) Write these numbers in billions or millions, round to one decimal place where necessary.

a) 44,500,000

b) 7,220,000,000

c) 3,110,000

d) 8,000,000

e) 2,550,000,000

f) 425,000,000

2) This table shows the profit listed by various travel companies during the previous year.

Travel Companies Profit £ Sunny Days Travel 2,000,000

White Stripe Holidays -30,000 Kin n Kith Services 135,000

bksb Holidays 1,300,000 Ratten Travel 72,000

Gems Travel Services -6000 Birdtown Travel 435,000

a) Order the profit figures by size, starting with the smallest and list them in the

grid below. b) Write out the full amount in words at the side of each number.

Profit £ Number in words

UNDERSTANDING NUMBER LEVEL 2 N1/L2.1

©West Nottinghamshire College 6

1Excellence in skills development

Learning Objective Understanding Negative Numbers Learners should be taught to read, write, order and compare positive and negative numbers of any size in a practical context, e.g. temperature below zero. Information In practical situations, e.g. temperature, numbers can be negative. Temperatures below zero are below freezing point and are shown as negative numbers. Exercise 3 1) On Monday evening the temperature was 0 °C. Overnight the temperature fell by

10 degrees. What was the morning temperature? 2) How many degrees are there between -20 °C and 40 °C?

3) Put these temperatures in order, starting with the coldest. -4 °C 3 °C 1 °C 0 °C -5 °C -7 °C 4 °C _____________________________________________________________ 4) The temperature in Leeds is 8 °C. The temperature in Edinburgh is -3 °C. What is

the difference between the two cities? 5) What is the temperature at which water freezes?

Freezing point of water

Boiling point

UNDERSTANDING NUMBER LEVEL 2 N1/L2.1

©West Nottinghamshire College 7

1Excellence in skills development

Exercise 4 Understanding Negative Numbers 1) Which is the coldest city? 2) How many degrees warmer is London than Stockholm? 3) In which cities are the temperatures above zero? 4) Is Toronto warmer that Paris? 5) Which city has the warmest temperature? 6) In which cities are the temperatures below zero? 7) How many degrees colder is Toronto than Reykjavik? 8) Overnight the temperature in Stockholm dropped by 2 degrees. What was the

new temperature? 9) How many degrees above freezing is Rome?

Toronto -8°C London 9°C

Rome 14°C

Stockholm -3°C

Paris 7°C

Barcelona 17°C

Reykjavik -4°C

UNDERSTANDING NUMBER LEVEL 2 N1/L2.1

©West Nottinghamshire College 8

1Excellence in skills development

Information Understanding Negative Numbers Negative numbers can be used to describe overdrawn bank accounts. This means that you owe money to the bank. Example Negative numbers are sometimes written in red, with a minus sign in front of them.

1 Feb 2008 8 Feb 2008 10 Feb 2008 14 Feb 2008 17 Feb 2008 22 Feb 2008 27 Feb 2008

Balance brought forward Cash withdrawn Debit card – Tesbury Debit card – Fine Flowers Deposit Cash withdrawn Debit card – EM Electric

50.00 28.37 25.00 30.00 35.00

80.00

57.29 7.29 -21.08 -46.08 33.92 3.92 -31.08

Account Number: 12345678 Sort Code: 22 33 44

Mr A N Other 27 High Street Minster Nottinghamshire NG67 3GF

28/3/2008

Overdrawn balances. Money is owing to the bank.

UNDERSTANDING NUMBER LEVEL 2 N1/L2.1

©West Nottinghamshire College 9

1Excellence in skills development

Information Understanding Negative Numbers Turnover is the amount of money taken by a business in a particular period.

Profit/Loss is the amount remaining after the expenses, for running the business, have been deducted. Negative profits mean that the company has made a loss. A loss is shown as a minus figure, e.g. -£35,000 -£258,000

Exercise 5 1) Answer the following questions using the table below.

Millie’s Tea Rooms – Balance Sheet

Months January February March April May June Sales £ 125 218 299 422 497 534 Expenses £ 294 216 352 395 520 481 Profit/Loss £ -169 2 -53 27 -23 53 Bank Balance £ 31 33 -20 7 -16 37 a) Did Millie make a profit or loss in March? b) What was the profit/loss in January? c) How many months was Millie overdrawn at the bank? 2) Here are the bank balances of 5 friends.

a) Who has the most money?

b) Whose account is the most overdrawn?

c) If Anna paid £210 into the bank, would she still be overdrawn?

Account Jane Alison Anna Lesley Janet Bank Balance (£s) 934 213 -212 897 -209

UNDERSTANDING NUMBER LEVEL 2 N1/L2.1

©West Nottinghamshire College 10

1Excellence in skills development

Exercise 6 Understanding Negative Numbers This table shows the turnover (the amount of money taken) and the profit or loss of international manufacturers.

Manufacturer Turnover £ Profit £ Breemster 1.8 billion 22.2 million

Deal 2 million -30,000 Fosmint 16 million 135,000 Grendip 2.9 billion 11.3 million Kelpey 15 million -72,000 Nistle 2.5 million -6000

Simtapenny 8 million -12,000 Taggle 4.7 million 500,000 Rister 4.2 billion 38.9 million Westly 4.5 million 287,000

Zimemay 5 billion 187,500 1) Which manufacturer had the highest turnover? 2) Which manufacturer made the greatest loss? 3) Which manufacturer had the smallest turnover?

4) Who made the most profit? 5) Which manufacturers have a loss of more than £25,000?