Answer :
To simplify the expression [tex]\(4.156 - 0.34\)[/tex], follow these steps:
1. Align the decimal points to ensure the numbers are correctly positioned for subtraction:
[tex]\[ \begin{array}{r} 4.156 \\ -0.340 \\ \end{array} \][/tex]
2. Subtract the smallest decimal place first:
- Units up to thousandths place:
[tex]\[ 6 - 0 = 6 \][/tex]
3. Move to the next decimal place:
- Units up to hundredths place:
[tex]\[ 5 - 4 = 1 \][/tex]
4. Continue with the tenths place:
- Units up to tenths place:
[tex]\[ 1 - 3 = 8 \quad \text{(note: we carry over 1 from the next decimal place)} \][/tex]
5. Finally, subtract the whole numbers:
- Units up to the ones place:
[tex]\[ 4 - 0 = 4 \][/tex]
After performing the subtraction, the result is:
[tex]\[ 4.156 - 0.34 = 3.816 \][/tex]
Thus, the correct answer is:
[tex]\[ \boxed{3.816} \][/tex]
1. Align the decimal points to ensure the numbers are correctly positioned for subtraction:
[tex]\[ \begin{array}{r} 4.156 \\ -0.340 \\ \end{array} \][/tex]
2. Subtract the smallest decimal place first:
- Units up to thousandths place:
[tex]\[ 6 - 0 = 6 \][/tex]
3. Move to the next decimal place:
- Units up to hundredths place:
[tex]\[ 5 - 4 = 1 \][/tex]
4. Continue with the tenths place:
- Units up to tenths place:
[tex]\[ 1 - 3 = 8 \quad \text{(note: we carry over 1 from the next decimal place)} \][/tex]
5. Finally, subtract the whole numbers:
- Units up to the ones place:
[tex]\[ 4 - 0 = 4 \][/tex]
After performing the subtraction, the result is:
[tex]\[ 4.156 - 0.34 = 3.816 \][/tex]
Thus, the correct answer is:
[tex]\[ \boxed{3.816} \][/tex]
