Saturday, October 30, 2010

Scribe 3 Show You Know Page 84 Page 85 Questions 3,7,12,14

Show You Know, Page 84.
Determine the side length of a square with an area of 196cm².

||||||196cm²
||||||/||||||||||\
||||14|||X|||14
|||/|||\|||||||||/||||\
||7 x 2 |x| 7 x 2

196=7x2x7x2
196=14x14
√196=14
The side length is 14cm.

Page 85 Questions 3,7,12 and 14.

Question 3:
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. Use words and/or diagrams to explain how you know which factor is the square root of 36.

|||||36
|||/|||||||\
||6||X|||||6
/||||\|||||||/||||\
3 x 2 X 3 x 2

36=3x2x3x2
36=6x6
√36=6
The square root of 36 is 6.

Question 7:
Write the prime factorization of each number. Identify the perfect squares.

A)||||||42
||||||/||||||||\
||||7 |||x||| 6
||||||||||||||/||||\
||||7|||x|3||x||2
This is not a perfect square.

B)||||||169
|||||||/|||||||\
||||||13 |x| 13
This is a perfect square.

C)|||||||256
|||||||/|||||||||||\
|||||16|||X||||||16
|||/|||||\|||||||||/|||||||||\
||4||x||4|x||||||4||x||||4
/|||\|||||/|||\|||||/|||\|||||/|||\
2x2 x 2x2 x 2x2 x 2x2
This is a perfect square.

Question 12:
Determine the square of each number.

A)SxS=Area
||10x10=100

B)SxS=Area
||16x16=256

Question 14:
Determine the side length of a square with an area of 900cm²

√900=30.

Question 17:
A fridge magnet has an area of 54mm². Is 54 a perfect square? Use prime factorization to find the answer.

||||||||54mm²
|||||||/|||||||||\
|||||27|||||x|||2
|||/||||\
||9||x||3|||x|||2
/||||||\||||||||||||||
3 x 3|x|3|||x|||2

It is not a perfect square.