MATHEMATICS
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Contents. Pearson General Mathematics 11. Writing and development team iii. How to use this book vi. UNIT 1. CHAPTER 1 Consumer arithmetic.
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In views of this we are bringing out three books ranging from introductory to advance level course in Algebra. Algebra I is the first book of the series and
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Examples: Decimals on the Number Line Example 5 a) Plot 0 2 on the number line with a black dot b) Plot 0 43 with a green dot Solution: For 0 2 we split the segment from 0 to 1 on the number line into ten equal pieces between 0 and 1 and then count
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date in the last presidential election the average length of all books about statistics the variation in the weight of 100 boxes of cereal selected from a factory’s production line INTERPRETATIONYou are most likely to be familiar with this branch of sta-tistics because many examples arise in everyday life Descriptive statistics
MATHEMATICS A
David Turner, Ian Potts
eBook includedUncorrected proof, all content subject to change at publisher discretion. Not for resale, circulation or distribution in whole or in part. ©Pearson 2017
-1)MATHEMATICS A
David Turner
Ian PottsUncorrected proof, all content subject to change at publisher discretion. Not for resale, circulation or distribution in whole or in part. ©Pearson 2017
COURSE STRUCTURE
ABOUT THIS BOOK
ASSESSMENT OVERVIEW
UNIT 1
UNIT 2
UNIT 3
UNIT 4
UNIT 5
FACT FINDERS
CHALLENGES
GLOSSARY
ANSWERS
INDEXACKNOWLEDGEMENTSIVVI
VII 2 96174
236
298
372
382
384
388
446
454Uncorrected proof, all content subject to change at publisher discretion. Not for resale, circulation or distribution in whole or in part. ©Pearson 2017
2 is the rst and only even prime number. cannot be written
as an exact fraction; this denes it as an irrational number. If is a whole number (integer) bigger than 0, the value of 2 is always divisible by 2. Fermat"s Last Theorem states that there are no integers which have a solution to when is bigger than 2.M02_IGMA_SB_1444_U02.indd 9604/07/2016 16:13Uncorrected proof, all content subject to change at publisher discretion. Not for resale, circulation or distribution in whole or in part. ©Pearson 2017
UNIT 297
LEARNING OBJECTIVES
BASIC PRINCIPLES
KEY POINT
EXAMPLE 1
NUMBER 2
The smallest measurable thing in the Universe is the which if written in full is 0.000 000 000 000 000 000 000 000 000 000 000 0162 metres.
The size of the observable universe is approximately a giant sphere of diameter 880 000 000 000 000 000 000 000000 metres.
These numbers can both be written more
conveniently in a simpler format called standard form. The rst length is 1.62 × 10 -35 m and the second measurement is 8.8 × 10 26m. fifiMax Planck (1858-1947)
Write a number in standard form
Calculate with numbers in standard form Work out a percentage increase and decrease Solve real-life problems involving percentages
10 2× 10
3 = 10 5 10 m× 10
n = 10 m n 10 2÷ 10
3 = = 10 -1 10 m÷ 10
n = 10 m n (10 3 2 = 10 6 (10 m n = 10 mn Standard form is always written as π b a, where a is between 1 and 10, but is never equal to10 and
b is an integer which can be positive or negative.Write 8
250000 in standar
d form. 8 250000 = 8.25 × 1
000000 = 8.25 × 10
6 Standard form is used to express large and small numbers more efficiently.M02_IGMA_SB_1444_U02.indd 9704/07/2016 16:13Uncorrected proof, all content subject to change at publisher discretion. Not for resale, circulation or distribution in whole or in part. ©Pearson 2017
UNIT 298
EXAMPLE 2
ACTIVITY 1
EXERCISE 1
EXERCISE 1*
000 = 375 000
Write each of these in standard form.
1 4563
123.45
5 5687
706.05
2 67.84
67 million
6 38.48
123 million
W rite each of these as an ordinary number. 94 × 10
3 114.09 × 10
6 135.6 × 10
2 157.97 × 10
6 105.6 × 10
4 126.789 × 10
5 146.5 × 10
4 169.876 × 10
5 17 The approximate area of all the land on Earth is 10 8 square miles. The area of the BritishIsles is 10
5 square miles. How many times larger is the Earth"s area? 18The ar
ea of the surface of the largest known star is about 10 15 square miles. The area of the surface of the Earth is about 10 11 square miles. How many times larger is the star"s area? Calculate these, and write each answer in standard form. 19 (2 × 10 4 ) × (4.2 × 10 5 ) 21(4.5 × 10 12 ) ÷ (9 × 10 10 20 (6.02 × 10 5 ) ÷ (4.3 × 10 3 ) 22(2.5 × 10 4 ) + (2.5 × 10 5Write each of these in standard form.
1 0893 2 050
4
54 billion
000 000000 neurons,
and over the human lifespan 1 000 000 000 000000 neural
connections are made.Write these numbers in standard form.
Calculate the approximate number of neural
connections made per second in an average human lifespan of 75 years.Q4 HINT
1 billion = 10
9M02_IGMA_SB_1444_U02.indd 9804/07/2016 16:13Uncorrected proof, all content subject to change at publisher discretion. Not for resale, circulation or distribution in whole or in part. ©Pearson 2017
UNIT 299
Earth Sun
Calculate these, and write each answer in standard form. 5 10 10 2× 8 10 million ÷
10 6 11 10 7÷10
7 6 (10 3 2 9 10 12 10 9× 12
10 121 million
7 10 9 10 4 10 (10 2 4 Calculate these, and write each answer in standard form. 13 (5.6 × 10 5 ) + (5.6 × 10 6 ) 15 (3.6 × 10 4 ) ÷ (9 × 10 2 14 (4.5 × 10 4 ) × (6 × 10 3quotesdbs_dbs14.pdfusesText_20[PDF] pearson my lab
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