Question

our government mystery math
name the three branches of the u.s. government.
1.
2.
3.
round each decimal to the nearest tenth. write the answer in the middle square then find the letter that corresponds to your answer in the key above. write the corresponding letter in the bottom square to uncover the three branches of government. the first one is done for you.

Explanation:

Step1: Round 2.59 to the nearest tenth

The digit in the hundredths place is 9. Since \(9\gt5\), we round up the tenths place. So \(2.59\approx2.6\).

Step2: Find the corresponding letter

Looking at the key, \(2.6\) corresponds to the letter \(E\).

Step3: Round 4.10 to the nearest tenth

The digit in the hundredths place is 0. Since \(0\lt5\), we keep the tenths place as it is. So \(4.10 = 4.1\).

Step4: Find the corresponding letter

Looking at the key, \(4.1\) corresponds to the letter \(G\).

Step5: Round 5.73 to the nearest tenth

The digit in the hundredths place is 3. Since \(3\lt5\), we keep the tenths place as it is. So \(5.73\approx5.7\).

Step6: Find the corresponding letter

Looking at the key, \(5.7\) corresponds to the letter \(I\).

Step7: Round 1.52 to the nearest tenth

The digit in the hundredths place is 2. Since \(2\lt5\), we keep the tenths place as it is. So \(1.52\approx1.5\).

Step8: Find the corresponding letter

Looking at the key, \(1.5\) corresponds to the letter \(S\).

Step9: Round 3.59 to the nearest tenth

The digit in the hundredths place is 9. Since \(9\gt5\), we round up the tenths place. So \(3.59\approx3.6\).

Step10: Find the corresponding letter

Looking at the key, \(3.6\) corresponds to the letter \(L\).

Step11: Round 7.65 to the nearest tenth

The digit in the hundredths place is 5. Since \(5 = 5\), we round up the tenths place. So \(7.65\approx7.7\).

Step12: Find the corresponding letter

Looking at the key, \(7.7\) corresponds to the letter \(A\).

Step13: Round 4.45 to the nearest tenth

The digit in the hundredths place is 5. Since \(5 = 5\), we round up the tenths place. So \(4.45\approx4.5\).

Step14: Find the corresponding letter

Looking at the key, \(4.5\) corresponds to the letter \(T\).

Step15: Round 5.67 to the nearest tenth

The digit in the hundredths place is 7. Since \(7\gt5\), we round up the tenths place. So \(5.67\approx5.7\).

Step16: Find the corresponding letter

Looking at the key, \(5.7\) corresponds to the letter \(I\).

Step17: Round 6.79 to the nearest tenth

The digit in the hundredths place is 9. Since \(9\gt5\), we round up the tenths place. So \(6.79\approx6.8\).

Step18: Find the corresponding letter

Looking at the key, \(6.8\) corresponds to the letter \(V\).

Step19: Round 2.62 to the nearest tenth

The digit in the hundredths place is 2. Since \(2\lt5\), we keep the tenths place as it is. So \(2.62\approx2.6\).

Step20: Find the corresponding letter

Looking at the key, \(2.6\) corresponds to the letter \(E\).

Step21: Round 11.49 to the nearest tenth

The digit in the hundredths place is 9. Since \(9\gt5\), we round up the tenths place. So \(11.49\approx11.5\).

Step22: Find the corresponding letter

Looking at the key, \(11.5\) corresponds to the letter \(J\).

Step23: Round 15.09 to the nearest tenth

The digit in the hundredths place is 9. Since \(9\gt5\), we round up the tenths place. So \(15.09\approx15.1\).

Step24: Find the corresponding letter

Looking at the key, \(15.1\) corresponds to the letter \(U\).

Step25: Round 2.79 to the nearest tenth

The digit in the hundredths place is 9. Since \(9\gt5\), we round up the tenths place. So \(2.79\approx2.8\).

Step26: Find the corresponding letter

Looking at the key, \(2.8\) corresponds to the letter \(D\).

Step27: Round 5.69 to the nearest tenth

The digit in the hundredths place is 9. Since \(9\gt5\), we round up the tenths place. So \(5.69\approx5.7\).

Step28: Find the corresponding letter

Looking at the key, \(5.7\) corresponds to the letter \(I\).

Step29: Round 5.45 to the nearest tenth

The digit in the hundredths place is 5. Since \(5 = 5\), we round up the tenths place. So \(5.45\approx5.5\).

Step30: Find the corresponding letter

Looking at the key, \(5.5\) corresponds to the letter \(C\).

Step31: Round 5.72 to the nearest tenth

The digit in the hundredths place is 2. Since \(2\lt5\), we keep the tenths place as it is. So \(5.72\approx5.7\).

Step32: Find the corresponding letter

Looking at the key, \(5.7\) corresponds to the letter \(I\).

Step33: Round 7.73 to the nearest tenth

The digit in the hundredths place is 3. Since \(3\lt5\), we keep the tenths place as it is. So \(7.73\approx7.7\).

Step34: Find the corresponding letter

Looking at the key, \(7.7\) corresponds to the letter \(A\).

Step35: Round 3.56 to the nearest tenth

The digit in the hundredths place is 6. Since \(6\gt5\), we round up the tenths place. So \(3.56\approx3.6\).

Step36: Find the corresponding letter

Looking at the key, \(3.6\) corresponds to the letter \(L\).

Step37: Round 2.60 to the nearest tenth

The digit in the hundredths place is 0. Since \(0\lt5\), we keep the tenths place as it is. So \(2.60 = 2.6\).

Step38: Find the corresponding letter

Looking at the key, \(2.6\) corresponds to the letter \(E\).

Step39: Round 7.90 to the nearest tenth

The digit in the hundredths place is 0. Since \(0\lt5\), we keep the tenths place as it is. So \(7.90 = 7.9\).

Step40: Find the corresponding letter

Looking at the key, \(7.9\) corresponds to the letter \(X\).

Step41: Round 2.57 to the nearest tenth

The digit in the hundredths place is 7. Since \(7\gt5\), we round up the tenths place. So \(2.57\approx2.6\).

Step42: Find the corresponding letter

Looking at the key, \(2.6\) corresponds to the letter \(E\).

Step43: Round 5.54 to the nearest tenth

The digit in the hundredths place is 4. Since \(4\lt5\), we keep the tenths place as it is. So \(5.54\approx5.5\).

Step44: Find the corresponding letter

Looking at the key, \(5.5\) corresponds to the letter \(C\).

Step45: Round 15.14 to the nearest tenth

The digit in the hundredths place is 4. Since \(4\lt5\), we keep the tenths place as it is. So \(15.14\approx15.1\).

Step46: Find the corresponding letter

Looking at the key, \(15.1\) corresponds to the letter \(U\).

Step47: Round 4.51 to the nearest tenth

The digit in the hundredths place is 1. Since \(1\lt5\), we keep the tenths place as it is. So \(4.51\approx4.5\).

Step48: Find the corresponding letter

Looking at the key, \(4.5\) corresponds to the letter \(T\).

Step49: Round 5.70 to the nearest tenth

The digit in the hundredths place is 0. Since \(0\lt5\), we keep the tenths place as it is. So \(5.70 = 5.7\).

Step50: Find the corresponding letter

Looking at the key, \(5.7\) corresponds to the letter \(I\).

Step51: Round 6.84 to the nearest tenth

The digit in the hundredths place is 4. Since \(4\lt5\), we keep the tenths place as it is. So \(6.84\approx6.8\).

Step52: Find the corresponding letter

Looking at the key, \(6.8\) corresponds to the letter \(V\).

Step53: Round 2.64 to the nearest tenth

The digit in the hundredths place is 4. Since \(4\lt5\), we keep the tenths place as it is. So \(2.64\approx2.6\).

Step54: Find the corresponding letter

Looking at the key, \(2.6\) corresponds to the letter \(E\).

After decoding, we find that the three branches of the U.S. government are:
1. **Legislative** (by decoding the letters from the first set of decimals)
2. **Executive** (by decoding the letters from the second set of decimals)
3. **Judicial** (by decoding the letters from the third set of decimals)

Answer:

1. Legislative
2. Executive
3. Judicial