Answer :
Sure, let's go through each part step-by-step to solve the given division problems. I will detail the dividend, divisor, and quotient for each.
### Part (a)
1. Evaluate the expression [tex]\( 12 \div 4 \)[/tex]:
- The dividend is 12.
- The divisor is 4.
- Dividing 12 by 4 gives us a quotient of 3.
2. Summarizing the results:
[tex]\[ \begin{aligned} 12 \div 4 &= 3 \\ \text{dividend} &= 12 \\ \text{divisor} &= 4 \\ \text{quotient} &= 3 \end{aligned} \][/tex]
### Part (b)
1. Evaluate the expression [tex]\( 25 \div 5 \)[/tex]:
- The dividend is 25.
- The divisor is 5.
- Dividing 25 by 5 gives us a quotient of 5.
2. Summarizing the results:
[tex]\[ \begin{aligned} 25 \div 5 &= 5 \\ \text{dividend} &= 25 \\ \text{divisor} &= 5 \\ \text{quotient} &= 5 \end{aligned} \][/tex]
### Part (c)
1. Evaluate the expression [tex]\( 63 \div 7 \)[/tex]:
- The dividend is 63.
- The divisor is 7.
- Dividing 63 by 7 gives us a quotient of 9.
2. Summarizing the results:
[tex]\[ \begin{aligned} 63 \div 7 &= 9 \\ \text{dividend} &= 63 \\ \text{divisor} &= 7 \\ \text{quotient} &= 9 \end{aligned} \][/tex]
Let's summarize all the findings for each part:
- Part (a):
[tex]\[ 12 \div 4 = 3 \quad \text{{dividend is }} 12 \quad \text{{divisor is }} 4 \quad \text{{quotient is }} 3 \][/tex]
- Part (b):
[tex]\[ 25 \div 5 = 5 \quad \text{{dividend is }} 25 \quad \text{{divisor is }} 5 \quad \text{{quotient is }} 5 \][/tex]
- Part (c):
[tex]\[ 63 \div 7 = 9 \quad \text{{dividend is }} 63 \quad \text{{divisor is }} 7 \quad \text{{quotient is }} 9 \][/tex]
These are the detailed solutions for each part of the given question.
### Part (a)
1. Evaluate the expression [tex]\( 12 \div 4 \)[/tex]:
- The dividend is 12.
- The divisor is 4.
- Dividing 12 by 4 gives us a quotient of 3.
2. Summarizing the results:
[tex]\[ \begin{aligned} 12 \div 4 &= 3 \\ \text{dividend} &= 12 \\ \text{divisor} &= 4 \\ \text{quotient} &= 3 \end{aligned} \][/tex]
### Part (b)
1. Evaluate the expression [tex]\( 25 \div 5 \)[/tex]:
- The dividend is 25.
- The divisor is 5.
- Dividing 25 by 5 gives us a quotient of 5.
2. Summarizing the results:
[tex]\[ \begin{aligned} 25 \div 5 &= 5 \\ \text{dividend} &= 25 \\ \text{divisor} &= 5 \\ \text{quotient} &= 5 \end{aligned} \][/tex]
### Part (c)
1. Evaluate the expression [tex]\( 63 \div 7 \)[/tex]:
- The dividend is 63.
- The divisor is 7.
- Dividing 63 by 7 gives us a quotient of 9.
2. Summarizing the results:
[tex]\[ \begin{aligned} 63 \div 7 &= 9 \\ \text{dividend} &= 63 \\ \text{divisor} &= 7 \\ \text{quotient} &= 9 \end{aligned} \][/tex]
Let's summarize all the findings for each part:
- Part (a):
[tex]\[ 12 \div 4 = 3 \quad \text{{dividend is }} 12 \quad \text{{divisor is }} 4 \quad \text{{quotient is }} 3 \][/tex]
- Part (b):
[tex]\[ 25 \div 5 = 5 \quad \text{{dividend is }} 25 \quad \text{{divisor is }} 5 \quad \text{{quotient is }} 5 \][/tex]
- Part (c):
[tex]\[ 63 \div 7 = 9 \quad \text{{dividend is }} 63 \quad \text{{divisor is }} 7 \quad \text{{quotient is }} 9 \][/tex]
These are the detailed solutions for each part of the given question.