## Sunday, 26 January 2014

### Math Study Notes pg 10-11

Mathematics Notebook page 10 and 11(Questions 5 and 8)
Group 1
Members:Shanice,Everi,Min Quan,Sophia,Jin Yu,Joshua

5.It is given that 648 = 23 × 34.
(a) Express 84 as a product of its prime factors.
84=2x2x3x7
=2^2x3x7
The product of 84’s prime factors is 2^2x3x7
(b)Hence find smallest value of x such that 648x is a multiple of 84.

648 = 2^3 x 3^4
84 = 2^2 x 3 x 7
LCM = 2^3 x 3^4 x 7
= 4536

4536/648=7
The smallest value of x is 7
8.A school plans to donate 1400 packs of instant noodles, 350 packets of rice and \$700 in cash to the elderly in the neighbourhood. All items to be distributed are packed in gift bags such that there are equal amount of cash in each gift bag.
• (a)  How many gift bags are needed?
• Using the ladder method (to find HCF)
• HCF of 1400, 700, 350 is 350
• 350  gift bags are needed
• (b)  Hence, write down the number of packets of rice and the amount of cash in each gift bag
Instant noodles 1400/350 =4
Money \$700/350 =\$2
Rice 350/350 =1

There will be 1 packets of rice and \$2 in each bag.