Question 1

Find all the whole numbers who have a square root between 6 and 7. What do they all have in common?

Estimate the square roots using fractions for all of the whole numbers from the previous question.

Question 2

Using your perfect square chart estimate the square roots of the following numbers

10

30

112

350

## 28 comments:

[6 squared= 36] 37 38 39 40 41 42 3 45 46 47 48 [7 squared= 49]

37=6 1/13

38=6 2/13

39=6 3/13

40=6 4/13

41=6 5/13

42=7 6/13

43=7 7/13

44=7 8/13

45=7 9/13

46=7 10/13

47=7 11/13

48=7 12/13

[3 squared= 9 squared] 10=3.2 [4 squared=16 squared]

[5 squared= 25 squared] 30=5.5 [6 squared=36 squared]

[10 squared=100 squared ] 112=10.6 [11 squared= 121 squared]

[18 squared=324 squared] 350=19.1 [19 squared=361 squared ]

Station 4:

Question 1:

The whole numbers between the square root of 6 and 7 are

37 =6 (1/13)

38 =6 (2/13)

39 =6 (3/13)

40 =6 (4/13)

41 =6 (5/13)

42 =7 (6/13)

43 =7 (7/13)

44 =7 (8/13)

45 =7 (9/13)

46 =7 (10/13)

47 =7 (11/13)

48 =7 (12/13)

Question 2:

10=3.1

30=5.4

112=10.7

350=19.1

Also done by Emily.

Question 1:

37,38,39,40,41,42,43,44,45,46,47,48

are the whole numbers with a square root between 6 and 7.

square root of 37=6 1/13

square root of 38=6 2/13

square root of 39=6 3/13

square root of 40=6 4/13

square root of 41=6 5/13

square root of 42=6 6/13

square root of 43=6 7/13

square root of 44=6 8/13

square root of 45=6 9/13

square root of 46=6 10/13

square root of 47=6 11/13

square root of 48=6 12/13

Question 2:

a)4 (2x2) 10 (3.1x3.1) 9 (3x3)

b)25 (5x5) 30 (5.4x5.4) 36 (6x6)

c)100 (10x10) 112 (10.5x10.5)

121 (11x11)

d)121 (11x11) 150 (12.2x12.2)

144 (12x12)

Station 4:

Question 1:

The whole numbers between 6 and 7 are

37=6 1/13

38=6 2/13

39=6 3/13

40=6 4/13

41=6 5/13

42=6 6/13

43=6 7/13

44=6 8/13

45=6 9/13

46=6 10/13

47=6 11/13

48=6 12/13

Question 2:

10= 3.1

30= 5.4

112= 10.7

350= 19.1

Station 4:

Question 1-

6=Square Root of 36

7=Square Root of 49

So the whole numbers with a square root between 6 and 7 are 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47 and 48.

Square Root of 37 is 6 1/13

Square Root of 38 is 6 2/13

Square Root of 39 is 6 3/13

Square Root of 40 is 6 4/13

Square Root of 41 is 6 5/13

Square Root of 42 is 6 6/13

Square Root of 43 is 6 7/13

Square Root of 44 is 6 8/13

Square Root of 45 is 6 9/13

Square Root of 46 is 6 10/13

Square Root of 47 is 6 11/13

Square Root of 48 is 6 12/13

Question 2-

a) 9 (3x3) 10 (3.1x3.1) 16 (4x4)

b) 25 (5x5) 30 (3.5x3.5) 36 (6x6)

c) 100 (10x10) 112 (10.6x10.6)

11 (121x121)

d) 324 (18x18) 350 (18.7x18.7)

361 (19x19)

Station 4

1.

[36](37,38,39,40,41,42,

43,44,45,46,47,48)[48]

37=6 1/13

38=6 2/13

39=6 3/13

40=6 4/13

41=6 5/13

42=6 6/13

43=6 7/13

44=6 8/13

45=6 9/13

46=6 10/13

47=6 11/13

48=6 12/13

2.

[9] 10 [16]

3 3.2 4

10=3.2

[25] 30 [36]

5 5.5 6

30=5.5

[100] 112 [121]

10 10.6 11

112=10.6

[324] 350 [361]

18 18.6 19

350=18.7

Question 1:

[6² = 36] 37, 38, 39, 40, 41, 42, 43, 44, 45, 46. 47, 48 [7² = 49]

They are all 2 digit numbers

All of them are non perfect squares

37 = 6 1/13

38 = 6 2/13

39 = 6 3/13

40 = 6 4/13

41 = 6 5/13

42 = 6 6/13

43 = 6 7/13

44 = 6 8/13

45 = 6 9/13

46 = 6 10/13

47 = 6 11/13

48 = 6 12/13

Question 2:

9-(3x3) [10]= 3.1 16-(4x4)

25-(5x5) [30]= 5.5 36-(6x6)

100-(10x10) [112]= 10.6 121-(11x11)

324-(18x18) [350]= 18.7 361-(19x19)

Station 4:

Question 1-

6=Square Root of 36

7=Square Root of 49

So the whole numbers with a square root between 6 and 7 are 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47 and 48.

Square Root of 37 is 6 1/13

Square Root of 38 is 6 2/13

Square Root of 39 is 6 3/13

Square Root of 40 is 6 4/13

Square Root of 41 is 6 5/13

Square Root of 42 is 6 6/13

Square Root of 43 is 6 7/13

Square Root of 44 is 6 8/13

Square Root of 45 is 6 9/13

Square Root of 46 is 6 10/13

Square Root of 47 is 6 11/13

Square Root of 48 is 6 12/13

Question 2-

a) 9 (3x3) 10 (3.1x3.1) 16 (4x4)

b) 25 (5x5) 30 (3.5x3.5) 36 (6x6)

c) 100 (10x10) 112 (10.6x10.6)

11 (121x121)

d) 324 (18x18) 350 (18.7x18.7)

361 (19x19)

[6 squared= 36] 37 38 39 40 41 42 3 45 46 47 48 [7 squared= 49]

square root of 37=6 1/13

38=6 2/13

39=6 3/13

40=6 4/13

41=6 5/13

42=6 6/13

43=6 7/13

44=6 8/13

45=6 9/13

46=6 10/13

47=6 11/13

48=6 12/13

(3 squared= 9 squared) 10=3.2

(4 squared=16 squared)

(5 squared= 25 squared) 30=5.5

(6 squared=36 squared)

(10 squared=100 squared) 112=10.6 (11 squared= 121 squared)

(18 squared=324 squared) 350=18.1 (19 squared=361 squared)

QUESTION 1

(6²= 36) 37 38 39 40 41 42 3 45 46 47 48 (7²= 49)

37=6 1/13,6.1

38=6 2/13,6.2

39=6 3/13,6.3

40=6 4/13,6.4

41=6 5/13,6.5

42=6 6/13,6.6

43=6 7/13,6.7

44=6 8/13,6.8

45=6 9/13,6.9

46=6 10/13,6.10

47=6 11/13,6.11

48=6 12/13,6.12

49=6 13/13,7

QUESTION 2

a) 9 (3x3) 10 (3.1x3.1) 16 (4x4)

b) 25 (5x5) 30 (3.5x3.5) 36 (6x6)

c) 100 (10x10) 112 (10.6x10.6)

11 (121x121)

d) 324 (18x18) 350 (18.7x18.7)

361 (19x19)

Station 4

The whole number between6 and 7 are 37,38,39,40,41,42,43,44,45,46,47,48

They have a whole number with decimal for there square root.

3x3=9 10=4.1/7 4x4=16

5x5=25 30=5.5/11 6x6=36

10x10=100 112=10.12/21 11x11=121

18x18=324 350=18. 26/37

Station 4:

Question 1:

6x6=36 7x7=49

37=6 1/13 43=6 7/13

38=6 2/13 44=6 8/13

39=6 3/13 45=6 9/13

40=6 4/13 46=6 10/13

41=6 5/13 47=6 11/13

42=7 6/13 48=6 12/13

They are all between 36 and 49. This are not all perfect squares.

Question 2:

10=3.2(3x3=9)(4x4=16)

30=5.5(5x5=25)(6x6)=36

112=10.6(10x10=100)(11x11=121)

350=18.8(18x18=324)(19x19=361)

Station 4

Question 1:(6² = 36) - (7² = 49)

37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 4836 = 6

37 = 6 1/13

38 = 6 2/13

39 = 6 3/13

40 = 6 4/13

41 = 6 5/13

42 = 6 6/13

43 = 6 7/13

44 = 6 8/13

45 = 6 9/13

46 = 6 10/13

47 = 6 11/13

48 = 6 12/13

49 = 7

Question 2:(9 = 3²)

10 = 3.1(16 = 4²)(25 = 5²)

30 = 5.5(36 = 6²)(100 = 10²)

112 = 10.6(121 = 11²)(324 = 18²)

350 = 18.7(361 = 19²)Station 4:

Question 1:

(6²=36) 37,38,39,40,41,42,43,44,45, 46,47,48 (7²=49)

37 = 6 1/13

38 = 6 2/13

39 = 6 3/13

40 = 6 4/13

41 = 6 5/13

42 = 6 6/13

43 = 6 7/13

44 = 6 8/13

45 = 6 9/13

46 = 6 10/13

47 = 6 11/13

48 = 6 12/13

Question 2:

(9=3²) 10=3.1 (16=4²)

(25=5²) 30=5.4 (36=6²)

(100=10²) 112=10.5 (121=11²)

(324=18²) 350=18.7 (361=19²)

#1

6x6 = 36

7x7 = 49

( 36 ) 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48 ( 49 )

37=6 1/13

38=6 2/13

39=6 3/13

40=6 4/13

41=6 5/13

42=7 6/13

43=7 7/13

44=7 8/13

45=7 9/13

46=7 10/13

47=7 11/13

48=7 12/13

All of them are not perfect squares, which means if you try to find it's square root, the answer would have a whole number and decimals.

#2

a) 9 (3x3) 10 (3.1x3.1) 16 (4x4)

b) 25 (5x5) 30 (5.5x5.5) 36 (6x6)

c) 100 (10x10) 112 (10.6x10.6)

121 (11x11)

d) 324 (18x18) 350 (18.7x18.7)

361 (19x19)

Question 1

between the square root of 6 and 7

6x6 =36

7x7=49

= 37, 38,39, 40, 41, 42, 43, 44, 45,46,47,48=

square root of 37=6 1/13

square root of 38=6 2/13

square root of 39=6 3/13

square root of 40=6 4/13

square root of 41=6 5/13

square root of 42=6 6/13

square root of 43=6 7/13

square root of 44=6 8/13

square root of 45=6 9/13

square root of 46=6 10/13

square root of 47=6 11/13

square root of 48=6 12/13

Question 2

(9 = 3²) 10 = 3.1 (16 = 4²)

(25 = 5²) 30 = 5.5 (36 = 6²)

(100 = 10²) 112 = 10.6 (121 = 11²)

(324 = 18²) 350 = 18.7 (361 = 19²)

Question 1:

The whole numbers between 6 and 7 are:

37 =6 1/13

38 =6 2/13

39 =6 3/13

40 =6 4/13

41 =6 5/13

42 =7 6/13

43 =7 7/13

44 =7 8/13

45 =7 9/13

46 =7 10/13

47 =7 11/13

48 =7 12/13

Question 2:

(9) 10 (16)

(3) 3.2 (4)

10=3.2

(25) 30 (36)

(5) 5.5 (6)

30=5.5

(100) 112 (121)

(10) 10.6 (11)

112=10.6

(324) 350 (361)

(18) 18.6 (19)

350=18.7

Question #1

The whole numbers that have a square root between 6 and 7 are: 37,38,39,40,41,42,43,44,45,46,47,48

√37=6 1/13

√38=6 2/13

√39=6 3/13

√40=6 4/13

√41=6 5/13

√42=6 6/13

√43=6 7/13

√44=6 8/13

√45=6 9/13

√46=6 10/13

√47=6 11/13

√48=6 12/13

Question #2

9(3²) 10 16(4²)

10 is closer to 9.

My estimate would be:3.1

25(5²) 30 36(6²)

30 is closer to 25.

My estimate:5.4

100(10²) 112 121(11²)

112 is closer to 121.

My estimate:10.6

324(18²) 350 361(19²)

350 is closer to 361.

My estimate:18.7

Question 1 .

The whole numbers between 36(6x6)and 49(7x7) is 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48.

√37=6 1/13

√38=6 2/13

√39=6 3/13

√40=6 4/13

√41=6 5/13

√42=6 6/13

√43=6 7/13

√44=6 8/13

√45=6 9/13

√46=6 10/13

√47=6 11/13

√48=6 12/13

Question 2 .

(9 = 3²) 10 = 3.1 (16 = 4²)

(25 = 5²) 30 = 5.5 (36 = 6²)

(100 = 10²) 112 = 10.6 (121 = 11²)

(324 = 18²) 350 = 18.7 (361 = 19²)

QUESTION 1

(6²=36) 37 38 39 40 41 42 43 44 45 46 47 48 (7²=49)

36=6

37=6 1/13

38=6 2/13

39=6 3/13

40=6 4/13

41=6 5/13

42=6 6/13

43=6 7/13

44=6 8/13

45=6 9/13

46=6 10/13

47=6 11/13

48=6 12/13

49=7 13/13

QUESTION 2

(3² = 9²) 3.__x3.__=10 (4² = 16²)

(5² = 25²) 5.__x5.__=30 (6² = 36²)

(10²=100²) 10.__x10.__=112 (11²=121²)

(18²=324²) 18.__x18.__=350 (19² = 361²)

Question 1:

(6² = 36) 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48 (7² = 49)

36 = 6

37 = 6 1/13

38 = 6 2/13

39 = 6 3/13

40 = 6 4/13

41 = 6 5/13

42 = 6 6/13

43 = 6 7/13

44 = 6 8/13

45 = 6 9/13

46 = 6 10/13

47 = 6 11/13

48 = 6 12/13

49 = 7

Question 2:

10;

(9 = 3²) [10 = 3.1] (16 = 4²)

30;

(25 = 5²) [30 = 5.5] (36 = 6²)

112;

(100 = 10²) [112 = 10.6] (121 = 11²)

350;

(324 = 18²) [350 = 18.7] (361 = 19²)

the square root between 6 and 7 are 37,38,39,40,41,42,43,44,45,46,47,48

37=1/13

38=2/13

39=3/13

40=4/13

41=5/13

42=6/13

43=7/13

44=8/13

45=9/13

46=10/13

47=11/13

48=12/13

49=13/13

Question 2

10=(9)3.1(16)

30=(25)5.5(36)

112=(100)10.6(121)

350=(324)18.7(361)

Question 1:

37

38=6 1/13

39=6 2/13

40=6 3/13

41=6 5/13

42=7 6/13

43=7 7/13

44=7 8/13

45=7 9/13

46=7 10/13

47=7 11/13

48=7 12/13

Question 2:

10=3.1

30=5.4

112=10.7

350=19.1

Question 1:

37,38,39,40,41,42,43,44,45,46,47,48

are the whole numbers with a square root between 6 and 7.

square root of 37=6 1/13

square root of 38=6 2/13

square root of 39=6 3/13

square root of 40=6 4/13

square root of 41=6 5/13

square root of 42=6 6/13

square root of 43=6 7/13

square root of 44=6 8/13

square root of 45=6 9/13

square root of 46=6 10/13

square root of 47=6 11/13

square root of 48=6 12/13

Question 2:

a)4 (2x2) 10 (3.1x3.1) 9 (3x3)

b)25 (5x5) 30 (5.4x5.4) 36 (6x6)

c)100 (10x10) 112 (10.5x10.5)

121 (11x11)

d)121 (11x11) 150 (12.2x12.2)

144 (12x12)

Station 4

1.

37,38,39,40,41,42,43,44,45,46,47,48

37=6 1/13

38=6 2/13

39=6 3/13

40=6 4/13

41=6 5/13

42=6 6/13

43=6 7/13

44=6 8/13

45=6 9/13

46=6 10/13

47=6 11/13

48=6 12/13

2.

10=3.1

30=5.4

112= 10.7

350= 19.1

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