Jim's Square and square roots questions
Determine the prime factorization of 4
answer: 4=2x2
is 4 a perfect square?
answer: yes because the prime factor, 2 appears an even number
a rectangle has an area of 64 m2, determine the prime factorization of 64
answer: 64:2x2x2x2x2x2
is 64 a perfect square
answer: yes because the prime factor 2 appears an even number
Write the prime factorization of each number, Identify the perfect square
42:2x3x7 this is not a perfect square
169:13x13 this is a perfect square
256:2x2x2x5 this is a perfect square
Showing posts with label squares. Show all posts
Showing posts with label squares. Show all posts
Friday, December 18, 2009
Monday, December 14, 2009
John's Scribepost for December 14, 2009
My question is:
Question 10 pg.92
10. A triangle has side of 120 mm, 160 mm, and 200 mm.
Is the triangle a right triangle? Explain your reasoning?
Answer:
Yes the triangle is a right triangle. The sum of the areas of the two smaller
squares are equal to the area of the largest square.
2 2 2
120 + 160 = 200
-JOHN!
Alvin's Scribepost for December 14, 2009
Question #14
Show whether each triangle in the table is a right triangle.
Triangle Side Lengths
A 9, 12, 15
B 7, 8, 11
C 7, 24, 25
D 16, 30, 34
E 10, 11, 14
Triangle A is a right triangle because 9 squared is 81 and 12 squared is 144, and 15 squared is 225 which then you can make this statement 81 + 144 = 225 ( 9 squared + 12 squared = 15 squared).
Triangle B is not a right triangle because 7 squared is 49 and 8 squared is 64, and 11 squared is 121 which then you can't make an addition statement because 49 + 64 doesn't equal 121 it equals 113.
Triangle C is a right triangle because 7 squared is 49 and 24 squared is 576 , and 15 squared is 625 which then you can make an addition statement because 49 + 576 = 625 ( 7 squared + 24 squared = 25 squared)
Triangle D is a perfect square because 16 squared is 256 and 30 squared is 900, and 34 squared is 1156 which then you can make an addition statement because 256 + 900 = 1156 ( 16 squared + 30 squared = 34 squared)
Triangle E is not a perfect square because 10 squared is 100 and 11 squared is 121, and 14 squared is 196 which cannot make an addition statement because 100 + 121 is clearly 221.
(which I meant addition statement, I really meant Pythagorean theorem)
Show whether each triangle in the table is a right triangle.
Triangle Side Lengths
A 9, 12, 15
B 7, 8, 11
C 7, 24, 25
D 16, 30, 34
E 10, 11, 14
Triangle A is a right triangle because 9 squared is 81 and 12 squared is 144, and 15 squared is 225 which then you can make this statement 81 + 144 = 225 ( 9 squared + 12 squared = 15 squared).
Triangle B is not a right triangle because 7 squared is 49 and 8 squared is 64, and 11 squared is 121 which then you can't make an addition statement because 49 + 64 doesn't equal 121 it equals 113.
Triangle C is a right triangle because 7 squared is 49 and 24 squared is 576 , and 15 squared is 625 which then you can make an addition statement because 49 + 576 = 625 ( 7 squared + 24 squared = 25 squared)
Triangle D is a perfect square because 16 squared is 256 and 30 squared is 900, and 34 squared is 1156 which then you can make an addition statement because 256 + 900 = 1156 ( 16 squared + 30 squared = 34 squared)
Triangle E is not a perfect square because 10 squared is 100 and 11 squared is 121, and 14 squared is 196 which cannot make an addition statement because 100 + 121 is clearly 221.
(which I meant addition statement, I really meant Pythagorean theorem)
Kathleen's Scribepost for December 14, 2009
Question #4 on the text book.
What are the areas of the three squares shown ?
e = 900mm2
f = 1600mm2
g = 2500mm2
How to get the area , just mulitply the number by itself.
30mm x 30mm = 900mm2
40mm x 40mm = 1600mm2
50mm x 50mm = 2500mm2
What are the areas of the three squares shown ?
e = 900mm2
f = 1600mm2
g = 2500mm2
How to get the area , just mulitply the number by itself.
30mm x 30mm = 900mm2
40mm x 40mm = 1600mm2
50mm x 50mm = 2500mm2
Friday, December 11, 2009
Michelle's Scribepost
Questions from the Homework Book.
List the perfect squares immediately BEFORE and AFTER the whole number.
Martina's painting is on a square canvas with an area of 45cm squared. She needs to buy a frame for the painting. Estimate the square's side length to one decimal place. Show your work.
(6.7 x 6.7 =44.89) Is close to 45, since I rounded one decimal place.
Branden's new game board has 225 squares. All of the small squares form one large square. How many small squares are along one side? Show your work.
( 15 x 15 = 225 ) There were 15 small squares along one side of the game board.
List the perfect squares immediately BEFORE and AFTER the whole number.
Martina's painting is on a square canvas with an area of 45cm squared. She needs to buy a frame for the painting. Estimate the square's side length to one decimal place. Show your work.
(6.7 x 6.7 =44.89) Is close to 45, since I rounded one decimal place.Branden's new game board has 225 squares. All of the small squares form one large square. How many small squares are along one side? Show your work.
( 15 x 15 = 225 ) There were 15 small squares along one side of the game board.
Tuesday, December 8, 2009
charis' scribepost for dec. 8, 2009
1. which number is a perfect square ?
a) 10
B) 20
C)50
D) 100
answer: D , 100.
2. what is the side length of the square in the diagram ?
A) 6 mm
B) 9 mm
C) 12 mm
D) 18 mm
Answer : B, 9 mm
3. A square has a side length of 7 cm. what is the area of the square ?
A) 14 cm2
B) 21 cm2
C) 28 cm2
D) 49 cm2
Answer : D, 49 cm2
a) 10
B) 20
C)50
D) 100
answer: D , 100.
2. what is the side length of the square in the diagram ?
A) 6 mm
B) 9 mm
C) 12 mm
D) 18 mm
Answer : B, 9 mm
3. A square has a side length of 7 cm. what is the area of the square ?
A) 14 cm2
B) 21 cm2
C) 28 cm2
D) 49 cm2
Answer : D, 49 cm2
Thursday, December 3, 2009
Scribepost for December 3, 2009
Hi Everyone Today I'll show you my foldable which has a number line from 1 - 25 that has square roots and squaares !
On this picture is shows numbers 1 to number 9.
Square roots :
1 : 1 squared
2 : 1.4 squared
3 : 1.7 squared
4 : 2 squared
5 : 2.2 squared
6 : 2.4 squared
7 : 2.6 squared
8 : 2.8 squared
9 : 3 squared
In this picture it shows numbers 10 to 18
Square roots :
10 : 3.16 squared
11 : 3.31 squared
12 : 3.46 squared
13 : 3.6 squared
14 : 3.7 squared
15 : 3.87 squared
16 : 4 squared
17 : 4.2 squared
18 : 4.24 squared
In this picture it shows numbers from 19 to 25
Square roots :
19 : 4.35 squared
20 : 4.47 squared
21 : 4.58 squared
22 : 4.69 squared
23 : 4.79 squared
24 : 4.89 squared
25 : 5 squared
Some patterns that I have found :
The intervals between the numbers increase by 2 every perfect square.
Hope you liked my post
John's Questions
So here are my questions. I chose the questions:
11.What is the square of each number?
A) 9
Answer: The answer is 81 because 9x9=81.
B) 11
Answer: The answer is 121 because 11x11=121
My second question is:
17. A fridge magnet has an area of 54 mm2. Is 54 a perfect square? Use prime factorization to find the answer.
Answer: The answer is 2x3x3x3. And 54 is not a perfect square because it has an odd number of factors of 2 and 3.
Please comment and tell me if I did anything wrong so I can fix it.
-John!
11.What is the square of each number?
A) 9
Answer: The answer is 81 because 9x9=81.
B) 11
Answer: The answer is 121 because 11x11=121
My second question is:
17. A fridge magnet has an area of 54 mm2. Is 54 a perfect square? Use prime factorization to find the answer.
Answer: The answer is 2x3x3x3. And 54 is not a perfect square because it has an odd number of factors of 2 and 3.
Please comment and tell me if I did anything wrong so I can fix it.
-John!
Scribepost For December 3rd ,2009
QUESTIONS
QUESTION 6:
A rectangle has an area of 64m2.
a) Determine the prime factorization of 64.
b) Is 64 a perfect square? Explain.
Yes because when you find the square root of 64 it does not have a decimal.
example : 64 = 2x4x2x4
c) Draw a square with that area and label its side length
QUESTION 16:
Determine the value.
a) √9 = 3
b) √25 = 5
c) √1600 = 40
QUESTION 6:
A rectangle has an area of 64m2.
a) Determine the prime factorization of 64.
b) Is 64 a perfect square? Explain.
Yes because when you find the square root of 64 it does not have a decimal.
example : 64 = 2x4x2x4
c) Draw a square with that area and label its side length
QUESTION 16:
Determine the value.
a) √9 = 3
b) √25 = 5
c) √1600 = 40
Giuseppe's questions
Okay guys. Here's the questions that I picked.
6. A rectangle has an area of 64m squared.
a) Determine the prime factorization of 64.
64
/ \
4 x 16
/ \ / \
2 x 2 x 4 x 4
b) Is 64 a perfect square?
The answer is yes. Since it has two 2s and two 4s, you can go like 2 x 4 x 2 x 2 = and you'll get 64.
c) Draw a square with that area and label its side lengths.
7. Write the prime factorization of each number. Identify the perfect squares.
a) 42
/ \
7 x 6
/ / \
7 x 2 x 3 Not perfect
b) 169
/ \
13 x 13 Perfect
c) 256
/ \
16 x 16
/ \ / \
4 x 4 x 4 x 4 Perfect
Vanessa's scribe post for 12-02-09
Heeeey everyone ... sorry my scribe post is late but here it is...Today, Ms. U handed our tests back on squares. She told us that we could revise them at home and attempt to get a better mark than what we have. If we didn't do anything to it then we would get that mark we already had. We had either an M,E,R, or F on each question of our test and it was all up to us whether we want a better mark or not. We were then told to finish our blue foldables. Next, we were told to do questions 6, 9, 11, 13, 15, 17, 19, 20, 21, and 25 on page 85 in our text book. Here are the questions...
6. A rectangle has an area of 64m²
a) Determine the prime factorization of 64.
b) Is 64 a perfect square?
c) Draw a square with that area and label it's side length.
9. What is the area of a square with each side length?
20. Adam's uncle had instructions for building a shed. One page of the instructions, shown below, is not very clear.
9. What is the area of a square with each side length?
a) 10 b) 16
a) b) c)
19. The gym teacher told the students to run twice around the perimeter of the school field. The area of the square field is 28 900m². What distance did the students run?
11. What is the square of each number?
a) 9 b) 11
a) 9 b) 11
13. What is the side length of the square shown?
15. Evaluate.
a) b) c)
17. A fridge magnet has an area of 54mm². Is 54 a perfect square? Use prime factorization to find the answer.
19. The gym teacher told the students to run twice around the perimeter of the school field. The area of the square field is 28 900m². What distance did the students run?
20. Adam's uncle had instructions for building a shed. One page of the instructions, shown below, is not very clear.
a) What is the area of the rectangles?
b) What is the side length of the square?
21. Kate is going to put a patio in her backyard. The patio stones she is using each have an area of 1m². She has created the rectangular design shown.
a) What is the area of the patio?
b) What are the dimensions of another patio she could build with the same area?
c) Kate decides to make a patio with the same area but she wants it to be a square with whole number side lengths. Is this possible? Explain your reasoning.
25. A square digital photo on the computer has an area of 144cm².
b) What is the side length of the square?
21. Kate is going to put a patio in her backyard. The patio stones she is using each have an area of 1m². She has created the rectangular design shown.
a) What is the area of the patio?
b) What are the dimensions of another patio she could build with the same area?
c) Kate decides to make a patio with the same area but she wants it to be a square with whole number side lengths. Is this possible? Explain your reasoning.
25. A square digital photo on the computer has an area of 144cm².
a) What is the side length of the photo?
b) The photo is enlarged so that the side length now is 36cm. What is the area of the enlarged photo?
c) How many times as large as the original area is the enlarged area?
Well theres my scribe post for 12-02-09... Hope I made you happy Harbeck and hope you guys enjoy it. COMMENT LOTS ! byee ♥
b) The photo is enlarged so that the side length now is 36cm. What is the area of the enlarged photo?
c) How many times as large as the original area is the enlarged area?
Well theres my scribe post for 12-02-09... Hope I made you happy Harbeck and hope you guys enjoy it. COMMENT LOTS ! byee ♥
Subscribe to:
Posts (Atom)
