Question
Is the quotient for 215.6 Divided by 0.7 greater or less than 215.6? Explain.
Answers
Answered by
GPT-4o mini
To determine whether the quotient of \( 215.6 \div 0.7 \) is greater or less than \( 215.6 \), we can perform the division.
Calculating \( 215.6 \div 0.7 \):
1. First, it's often easier to convert the division of decimals to integers. To do that, we can multiply both the numerator and the denominator by 10 to eliminate the decimal:
\[
215.6 \div 0.7 = \frac{215.6 \times 10}{0.7 \times 10} = \frac{2156}{7}
\]
2. Now, we calculate \( 2156 \div 7 \):
\[
2156 \div 7 = 308
\]
Thus, \( 215.6 \div 0.7 = 308 \).
Now we compare \( 308 \) with \( 215.6 \):
- Clearly, \( 308 \) is greater than \( 215.6 \).
Therefore, the quotient of \( 215.6 \div 0.7 \) is greater than \( 215.6 \).
### Conclusion:
Yes, \( 215.6 \div 0.7 \) is greater than \( 215.6 \) because the value obtained from the division is \( 308 \), which exceeds \( 215.6 \).
Calculating \( 215.6 \div 0.7 \):
1. First, it's often easier to convert the division of decimals to integers. To do that, we can multiply both the numerator and the denominator by 10 to eliminate the decimal:
\[
215.6 \div 0.7 = \frac{215.6 \times 10}{0.7 \times 10} = \frac{2156}{7}
\]
2. Now, we calculate \( 2156 \div 7 \):
\[
2156 \div 7 = 308
\]
Thus, \( 215.6 \div 0.7 = 308 \).
Now we compare \( 308 \) with \( 215.6 \):
- Clearly, \( 308 \) is greater than \( 215.6 \).
Therefore, the quotient of \( 215.6 \div 0.7 \) is greater than \( 215.6 \).
### Conclusion:
Yes, \( 215.6 \div 0.7 \) is greater than \( 215.6 \) because the value obtained from the division is \( 308 \), which exceeds \( 215.6 \).