Question

why did the teacher assign extra homework when she taught adolescents? find which two consecutive whole numbers the square root is between. write the letter of the exercise on the number line between these two numbers. use the top number line for the first set of exercises, and the bottom number line for the rest.. s $sqrt{30}$ h $sqrt{2}$ t $sqrt{45}$ e $sqrt{8}$ a $sqrt{23}$ n $sqrt{120}$ g $sqrt{138}$ i $sqrt{82}$ w $sqrt{11}$ y $sqrt{70}$ s $sqrt{0.5}$ r $sqrt{59}$ (number line with 0 - 12) s $sqrt{75}$ d $sqrt{20}$ o $sqrt{3}$ a $sqrt{6}$ e $sqrt{52}$ s $sqrt{95}$ o $sqrt{112}$ n $sqrt{125}$ d $sqrt{14}$ t $sqrt{0.1}$ a $sqrt{33}$ l $sqrt{40}$ (number line with 0 - 12) topic 6 - a: squares and square roots d - 72 middle school math with pizzazz! book d © creative publications

Explanation:

Step1: Locate consecutive squares for each root

For each $\sqrt{n}$, find $k$ where $k^2 < n < (k+1)^2$

Step2: Match letter to number line interval

Place the letter between $k$ and $k+1$ on the correct line

First Set (Top Number Line):

• $\boldsymbol{S: \sqrt{30}}$: $5^2=25 < 30 < 36=6^2$ → between 5 & 6
• $\boldsymbol{H: \sqrt{2}}$: $1^2=1 < 2 < 4=2^2$ → between 1 & 2
• $\boldsymbol{T: \sqrt{45}}$: $6^2=36 < 45 < 49=7^2$ → between 6 & 7
• $\boldsymbol{E: \sqrt{8}}$: $2^2=4 < 8 < 9=3^2$ → between 2 & 3
• $\boldsymbol{A: \sqrt{23}}$: $4^2=16 < 23 < 25=5^2$ → between 4 & 5
• $\boldsymbol{N: \sqrt{120}}$: $10^2=100 < 120 < 121=11^2$ → between 10 & 11
• $\boldsymbol{G: \sqrt{138}}$: $11^2=121 < 138 < 144=12^2$ → between 11 & 12
• $\boldsymbol{I: \sqrt{82}}$: $9^2=81 < 82 < 100=10^2$ → between 9 & 10
• $\boldsymbol{W: \sqrt{11}}$: $3^2=9 < 11 < 16=4^2$ → between 3 & 4
• $\boldsymbol{Y: \sqrt{70}}$: $8^2=64 < 70 < 81=9^2$ → between 8 & 9
• $\boldsymbol{S: \sqrt{0.5}}$: $0^2=0 < 0.5 < 1=1^2$ → between 0 & 1
• $\boldsymbol{R: \sqrt{59}}$: $7^2=49 < 59 < 64=8^2$ → between 7 & 8

Second Set (Bottom Number Line):

• $\boldsymbol{S: \sqrt{75}}$: $8^2=64 < 75 < 81=9^2$ → between 8 & 9
• $\boldsymbol{D: \sqrt{20}}$: $4^2=16 < 20 < 25=5^2$ → between 4 & 5
• $\boldsymbol{O: \sqrt{3}}$: $1^2=1 < 3 < 4=2^2$ → between 1 & 2
• $\boldsymbol{A: \sqrt{6}}$: $2^2=4 < 6 < 9=3^2$ → between 2 & 3
• $\boldsymbol{E: \sqrt{52}}$: $7^2=49 < 52 < 64=8^2$ → between 7 & 8
• $\boldsymbol{S: \sqrt{95}}$: $9^2=81 < 95 < 100=10^2$ → between 9 & 10
• $\boldsymbol{O: \sqrt{112}}$: $10^2=100 < 112 < 121=11^2$ → between 10 & 11
• $\boldsymbol{N: \sqrt{125}}$: $11^2=121 < 125 < 144=12^2$ → between 11 & 12
• $\boldsymbol{D: \sqrt{14}}$: $3^2=9 < 14 < 16=4^2$ → between 3 & 4
• $\boldsymbol{T: \sqrt{0.1}}$: $0^2=0 < 0.1 < 1=1^2$ → between 0 & 1
• $\boldsymbol{A: \sqrt{33}}$: $5^2=25 < 33 < 36=6^2$ → between 5 & 6
• $\boldsymbol{L: \sqrt{40}}$: $6^2=36 < 40 < 49=7^2$ → between 6 & 7

Assemble the Phrase (Reading top line left-to-right, then bottom line left-to-right):

Top line intervals (0-1 to 11-12): S, H, E, W, A, S, T, R, Y, I, N, G
Bottom line intervals (0-1 to 11-12): T, O, A, D, D, A, S, E, S, S, O, N
Combined: SHE WAS TRYING TO ADD A LESSON

Answer:

She was trying to add a lesson