Maya's Text Book Scribe Post

# 10 and 16.

Page 98

10) Kai uses an entire can of paint on a square backdrop for the school play. The label on the can states that one can covers 27m² of wall surface. Estimate the backdrop side length, to one decimal place.

Answer:

5.2 is the estimation of 27m².

Page 100

16) A tub in a fitness centre will install a square hot tub in a 6 m × 6 m room. They want the tub to fill no more than 75% of the room’s area.

a) What is the maximum area of the hot tub?

Answer:
The maximum area of the hot tub is 27m²

b) What dimensions, to a tenth of a metre, will the fitness centre order from the manufacturer? Explain.

Answer:
The dimensions should be 5.1 by 5.1 so the area does not exceed 75% of the space available.

*Sorry if I didn't explain it well.

Here's a video to help you estimate square roots.

Samarab 8-73 Textbook Post

Pg. 98 and 100

6) What is an example of a whole number that has a square root between 9 and 10 ?

Answer: 90. 90 is a possible answer .

9) What are the possible whole numbers that has a square root between 4 and 5 ?

Answer : 17,18,19,20,21,22,23,24 . All theses are the possible answers .

Krizna's Textbook Post

Pg.100
Questions 7 and 8
7.Identify a whole number with a square root between 11 & 12
Answer: the square root of 11 is 111 and the square root of 12 is 144 the square root is 130.

8.Identify all possible whole numbers with a square root between 2 & 3.
Answer:the square root of 2 is 4 & and the square root of 3 is 9. The whole numbers are 5,6,7,8.

Maya's Text Book Scribe Post

# 10 and 16.

Page 98

10) Kai uses an entire can of paint on a square backdrop for the school play. The label on the can states that one can covers 27m² of wall surface. Estimate the backdrop side length, to one decimal place.

Answer:

5.2 is the estimation of 27m².

Page 100

16) A tub in a fitness centre will install a square hot tub in a 6m × 6m room. They want the tub to fill no more than 75% of the room’s area.

a) What is the maximum area of the hot tub?

Answer:
The maximum area of the hot tub is 27m²

b) What dimensions, to a tenth of a metre, will the fitness centre order from the manufacturer? Explain.

Answer:
The dimensions should be 5.1 by 5.1 so the area does not exceed 75% of the space available.

*Sorry if I didn't explain it well.

Here's a video to help you estimate square roots.

Square roots

Question 2

Find a whole number that has a square root between 3 and 4 explain how your found it.

To identify the whole number that has a square root between 3 and 4 I found the perfect square of the two consecutive numbers and chose the whole number between the two perfect squares.

12 will have a value between 3 and 4

YOU KNOW THAT THIS IS YOUR ANSWER BECASUE 3 GROUPS OF 4 IS 12.

Question 3

Jason is doing his math homework he has to find the square root of 10.He presses 10 on his calculater and the screen display's 3.1627766. However when 3.1627766 is mutiplied by itself the answer is not 10, explain.

The answer is because 10 is not a perfect square the value shown on the calculator is only an approximation.

Colleen's Estimating Square Roots Scribe Post

Questions: 4 and 5.

4.) Estimate the square root of each number, to one decimal place. Check with a calculator. a) 72 b) 103 c) 55
a)














b)














c)















5.) Estimate each value, to one decimal place. Check your answer with a calculator.
a) √14 b) √86 c)√136

a)














b)














c)















Here is a link about how to estimate square roots.
Here is a link to a video that talks about estimating square roots.

(Tell me if I did anything wrong.)

Scribe 6 - 2 Questions From Page 87

In this scribe, I had to pick two questions on page 87 and answer them. These are the two questions I decided to answer:

24. a) What are the next three triangular numbers

10, 15, 21

b) Add together any two consecutive triangular numbers. What do you notice about the sums?

The sums equal perfect squares.

Example, 1+3=4 3+6=9 6+10=16

25. A square digital photo on the computer has an area of 144 cm2.

a) What is the side length of the photo?

The side length of the photo is 12 cm.

b) The photo is enlarged so that the side length is now 36 cm. What is the area of the enlarged photo?

The area of the enlarged photo is now 1296 cm2

c) How many times as large as the original area is the enlarged area?

1296/144=9 The original photos area was enlarged by 9x

d) How many times as large as the original side length is the enlarged side length?

36/12=3 The original photos side length was enlarged by 3x

e) Use what you know about the square root of a perfect square to identify the relationship between the numbers in parts c) and d).

Scribe Post #3

Show you Know Page 84

Determine the side length of a square with the area of 196cm2.

Prime Factorization:

196cm2 = area

14cm = side length

Side length = Square root

Square root is the number that

multiplied itself equals the

number you are looking for.

196 divided by 14 = 14

14 x 14 = 196

Questions from the text book:

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.

6 is the square root of 36 because 6 is the number that multiplied by itself you get the number your looking for.

7. Determine the prime factorization for each number:

a) Not a perfect square b) Not a perfect square

c) A perfect square

12. Determine the square of each number:

The square of a number is the area.

To get the area of a square you have

to multiply side x side.

a) 3 = side

area = side x side

area = 3 x3

area = 9

b) 18 = side

area = side x side

area = 18 x 18

area = 324

14.Determine the side length for a square with an area of 900cm2.

area = side x side

area = 30 x 30

area = 900cm2

The side length of the square is 30cm2.

Scribe 2- Square Numbers

Show You Know- Pg.83:
Determine the area of a square with a side length of 16mm.
Answer: 256mm2
How: I multiplied or squared 16 by itself so it looks like this:
16x2 or 162 =265m2

Page 85 Questions 2, 6, 11, 15
2)How would you use prime factorization to determine the square root of 225? Compare your answer with a classmate's.
You would make a tree that had 225 on top of the tree then from there you divide until you get prime numbers.

6) a: 64
/ \
8 x 8
/ \ / \
4x2 x 4x2
b: Yes because the side are equal.
c:








11) What is the square of each number?
a: 9- 9x9= 81
b: 11- 11x11= 121

15) Evaluate. -- Definition of Evaluate:
to ascertain the numerical value
a)











b)










c)











Click here for a math site that will help you in square roots and squares.

Here is a video that will help you in square rooting.




Here is a picture displaying an example of prime factorization.

Prime Factorizaton and Square Roots

Show You Know: (page 82)

Write the prime factorization of each number. Which number is not a perfect square? Explain how you know.

prime factorization- a number written as the product of its prime factors.

45 is not a perfect square.

Textbook Questions: 1, 5, 10, 15 (pg. 85 & 86)

1.) Explain how to square the number 7.

answer: To square the number 7 you multiply 7x7=49.

5.)a.) Determine the prime factorization of 4.

b.) Is 4 a perfect square? Explain.

c.) Draw the square and label its side length.

answers:

a.) The prime factorization of 4 is 2x2=4

b.) 4 is a perfect square because its square root is a whole number with no decimals. ( 4's square root is 2)

c.)

10.) Determine the area of a square with each side length.

a.)20

b.)17

answers:

a.) area: s x s= s squared

20 x 20= s squared

20 x 20= 400 square units

b.) area: s x s= s squared

17 x 17= s squared

17 x 17= 289 square units

16.) Determine the value.

a.) square root of 9.

b.) square root of 25.

c.) square root of 1600.

answers:

a.) The square root of 9 is 3. (3x3=9)

b.) The square root of 25 is 5. (5x5=25)

c.) The square root of 1600 is 40. (40x40=1600)

Here is a link to help you with prime factorization.

Here is a video on prime factorization:

Jomer's Scribe On Square Roots

Square Roots

We were learning about square numbers.. and now we're learning about square roots

Heres a Link to help you understand more about squares and square roots.