Quick Notes

• On Button is used to switch on the calculator.
• Number buttons are used to type in the numbers. 
• Operation buttons are used to type in the operations.
• Make sure to do the multiplication and division operation first before addition and subtraction operations.

• If the number that will be rounded off has the digit between 1-4,then number after has to be '0'. 
• If the number that will be rounded off has the digit between 5-9 ,then number after has to be '0' and the number that is rounded off is added '1'.

\(107\ 896\div19\ = 5\ 678.7368\)

Round off the answer to :

a) one decimal place

b) two decimal places

Answer for a)

Look at the second digit after the decimal point which is 3. 

3 is less than 5.

Retain digit 7. Ignore the digits 3, 6 and 8.

5 678.7368 ≈ 5 678.7

Answer for b)

Look at the third digit after the decimal point which is 6.

6 is more than 5.

Retain digit 7 and add 1 to digit 3. Ignore the digits 6 and 8.

\(107\ 896\div19\ = 5\ 678.7368 \)   

Number pattern is the determination of a series of numbers.

Identify whether the number below is a prime number.

• 17 = Yes
• 21 = No (Can be divisible by 3 and 7)
• 27 = No (Can be divisible by 3 and 9) 

 Exploration of seven-digit numbers

 Situasi 1

 The pupils' data on 31 August 2014 showed that the total number of primary school pupils was 2,708,211. They consistedn of 1,391,785 boys and 1,316,426  girls.

 How to write the place value and digit value of the number 2,708,211 

1,391,785 if partitioned according to the place value will be as below:               

• 1,316,426 rounded off to the nearest hundred thousand becomes 1,300,000.
• 1,300,000 can be written and read as 1.3 million or million.

 Round off 1,600,000 to the nearest million.

• 1,600,000 is closer to 2,000,000.
• 1,600,000 when rounded off to the nearest million becomes 2,000,000.
• 1,600,000 is equal to 1.6 million or  million.

 Decimal millions and fraction millions

 Situation 1

 A total of 0/051 million people attended a dinner in conjuction with the Opening of Dataran 1 Malaysia in Pantai Klebang, Melaka organised by the Melaka State Government on 4 February 2010.

 Situation 1

 There are about 950 000 species of insects on Earth. Convert 950 000 to decimal millions.

 950,000 =  ? million

• 950 000 is less than 1 000 000.
• Therefore, the digit value for millions is 0.
• Then, place a decimal point between the digit for millions and the digit for hundred thousands.
• Ignore all the digit 0 after the digit 5.
• Then, write the word million’.
• = 0.95 million

 Situation 2

 State 6,500,000 in decimal millions. 6,500,000 = ? million

\(6\ 500\ 000\ = (\dfrac{6\ 5\cancel{00\ 000}}{1\ \cancel{000\ 000}})\ million\\ \quad \quad \quad \quad \quad=(\dfrac{65}{10})\ million\\ \quad \quad \quad \quad \quad=6.5\ million \)                                       

 Situation 3

 Convert 250 000 to fraction millions.

\(250\ 000\ = (\dfrac{25\cancel{0\ 000}}{1\ 00\cancel{0\ 000}})\ million\\ \quad \quad \quad \quad =\dfrac{25\ \div25}{100\ \div100}\ million\\ \quad \quad \quad \quad =\dfrac{1}{4}\ million\)                                                                                                              

 Situasi 1

 At the end of 2014, several states in Malaysia were hit by severe floods. The table below shows an estimated number of flood victims in three states.

Calculate the total number of flood victims in the three states. Give the answer in decimal millions.

Solution

\(\begin {array}{rr} \\ \space\space\small{\color{red}1}\space\space\space \small{\color{red}1}\space\space\space\space\space\quad\quad \\ \space 4\space5\,\space\space4\space0\space0\\ \quad\space4\space5\,\space\space4\space0\space0\\ + \quad\space3\space3\,\space\space0\space0\space0 \\\hline\space1\space2\space3\,\space\space8\space0\space0\\\hline \end {array} \)   \(\begin {array}{rr} \\ \space1\space 2\space3\,\space\space8\space0\space0\\ - \quad\space1\space0\,\space\space8\space0\space0 \\\hline\space1\space1\space3\,\space\space0\space0\space0\\\hline \end {array} \)                                     

 Situation 2

 In 2015, a factory produced 1/5 million kg of cooking oil for export. Production targets in each subsequent year is 2 times the mass of cooking oil compared to the previous year. What is the mass, in kg, of cooking oil produced in 2019?

 Solution 

\((\dfrac{3\ 2\cancel{00\ 000}}{1\ 00\cancel{0\ 000}})\ juta=\dfrac{32}{10}\ juta\\ \quad \quad \quad \quad \quad \quad \quad \quad = 3.2\ juta\)