Kayla's Estimating Square Roots

Pg. 100, #14, 15

________________________

14. Alex is thinking of a number. The number has a square root between 7 and 8, and it is a multiple of 12.

a) What number is Alex thinking of?

The square root of 7 is 49, and the square root of 8 is 64. 60 fits in between 49 and 64 and is a multiple of 12.

• 12 x 5 = 60

b) There are no other multiplications of 12 that would fit that has a square root of 7 or 8.

_________________________

15. Order the following numbers from least to greatest.

• 7, 6.7, 5.8, 5.1, 6.3 (I couldn't make the symbol for squaring, sorry. These are the simplified versions.)

The correct order is: 5.1, 5.8, 6.3, 6.7, 7

_________________________

Here is a link for a video that shows you how to calculate square roots without a calculator! Enjoy.

http://www.youtube.com/watch?v=3i94NWF39nU

Chelsea's Estimating Square Roots

Pg. 100, 16--17

16. Q: 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?

The max. area of the hot tub is 27 m²

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

The dimensions should be 5.1 m, so that the hot tub will not exceed the limit of 75% of the room's space.

17. Q: Carmel wants to mount an 18 cm × 18 cm square picture on a square board that is
four times the area of the picture.

a) What is the area of the picture?

324 cm²

a = lxw
a = 18x18=324 cm
a= 324 cm²

b) What is the area of the board?

1296² cm2

You multiply the area by 4 to get this number.

c) What are the dimensions of the board?

36 cm x 36 cm


Here's a link that I found about estimating square roots. If anyone has another or a better link that I should use, please comment and I will be sure to use it!


Here's a video to help you guys with estimating square roots:

Ivorys estimating square roots blog post

Pg. 98-100

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

9 10
81 100

examples: 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99.

7. Identify a whole number with a square root between 11 and 12.

11 12
121 144

examples: 122, 123, 124, 125, 126, 127, 128, 129, 130,131, 132, 133, 134, 135, 136, 137, 138,139 140, 141, 142, 143.

Shane's Estimating Square Roots

Estimating Sqare Roots

page 99, 6-7.

6. What is an example of a whole number

that has a square root between 9 and 10?

                   9                                  10

                 81                               100

 = 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93,

    94, 95, 96, 97, 98, 99.

7. Identify a whole number with a square

root between 11 and 12.

               

               11                                       12

               121                                  144

= 122, 123, 124, 125, 126, 127, 128, 129, 130, 131,

    132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142,

    143.

Jam's ESTIMATING SQUARE ROOTS Scribe Post

ESTIMATE YOUR SQUARE ROOT!!!!!

Question 4and 5 pg-99

4. Estimate the square root for each number, to one decimal.

a.√72 b.√103 c.√55

answers:

a)√64 √72 √81

8 8.4 9

b)√100 √103 √121

10 10.2 11

c)√49 √55 √64

7 7.3 8

5) Estimate each value, to one decimal place.

a)√14 b)√86 c)√136

answers:

a)√9 √14 √16

3 3.6 4

b)√81 √86 √100

9 9.8 10

c)√121 √136 √144

11 11.7 12

more estimating

Jieram's Estimating Square Roots

Pg. 99 #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

answers: a) 8.5 b) 10.1 c) 7.4

5. Estimate each value, to one decimal place.

Check your answer with a calculator.

a) √14 b) √86 c) √136

answers: a) 3.7 b) 9.3 c) 11.7

Jae Anne's Estimating Square Roots

Estimating Square Roots

pg. 99 # 12 & 13

12. While stopping online, Ji Hun finds a square rug with an area of 11 m² . He needs to know if it will fit in his 4 m x 5 m bedroom.

a) Estimate the side length of the rug, to one decimal place.

√9          √11          √16

   3           3.2             4

b) Check your estimate with a calculator.

√11 m² = 3.3

c) Will the rug fit? Explain.

Yes the rug will fit since its side length is smaller than the shorter side of the room.

13. Stella is planning an outdoor wedding. She would like a square dance floor with an area of 115 m².

a) Determine the side length of the dance floor to the nearest tenth of metre.

√115 m² = 10.7

 
b) What are the two side lengths the dance floor can have that are closest to to what she wants?

10 m or 11m

c) What are the two areas for the dance floor that Stella can choose from?

100 m² or 121 m² 

d) Which area will Stella choose? Explain.

She will choose the 121m dance floor since it is much closer to her desired size.

 

 

Ysabelle's Estimating Square Roots

ESTIMATING SQUARE ROOTS

Page 99 # 8 & 9

8)
Q: Identify all possible whole numbers with a square root larger than 2 and smaller than 3.
A: All possible whole numbers with a square root larger than 2 and smaller than 3 are 5, 6, 7, & 8.
√5=2.2 √6=2.4 √7=2.6 √8=2,8

9)
Q: What are possible whole numbers that have a square root between 4 & 5?
A: All possible whole numbers that have a square root between 4 & 5 are 17, 18, 19, 20, 21, 22, 23, & 24.
√17=4.1 √19=4.3 √21=4.5 √23=4.7
√18=4.2 √20=4.4 √22=4.6 √24=4.8