Alright, let's look at the problem step by step to find both the estimated and exact quotients. We will be rounding off the estimated quotient to 1 decimal place and the exact quotient to 2 decimal places.
Let's break down each division problem:
### 72. [tex]\( 235 \div 79 \)[/tex]
Estimated Quotient:
First, we divide 235 by 79 and round it to 1 decimal place:
[tex]\[ 235 \div 79 \approx 3.0 \][/tex]
Exact Quotient:
Next, we divide 235 by 79 and round it to 2 decimal places:
[tex]\[ 235 \div 79 \approx 2.97 \][/tex]
### 73. [tex]\( 320 \div 69 \)[/tex]
Estimated Quotient:
First, we divide 320 by 69 and round it to 1 decimal place:
[tex]\[ 320 \div 69 \approx 4.6 \][/tex]
Exact Quotient:
Next, we divide 320 by 69 and round it to 2 decimal places:
[tex]\[ 320 \div 69 \approx 4.64 \][/tex]
### 74. [tex]\( 549 \div 41 \)[/tex]
Estimated Quotient:
First, we divide 549 by 41 and round it to 1 decimal place:
[tex]\[ 549 \div 41 \approx 13.4 \][/tex]
Exact Quotient:
Next, we divide 549 by 41 and round it to 2 decimal places:
[tex]\[ 549 \div 41 \approx 13.39 \][/tex]
### 75. [tex]\( 785 \div 188 \)[/tex]
Estimated Quotient:
First, we divide 785 by 188 and round it to 1 decimal place:
[tex]\[ 785 \div 188 \approx 4.2 \][/tex]
Exact Quotient:
Next, we divide 785 by 188 and round it to 2 decimal places:
[tex]\[ 785 \div 188 \approx 4.18 \][/tex]
Let's summarize all the results in a table:
| Problem Number | Estimated Quotient | Exact Quotient |
|----------------|---------------------|----------------|
| 72. [tex]\( 235 \div 79 \)[/tex] | 3.0 | 2.97 |
| 73. [tex]\( 320 \div 69 \)[/tex] | 4.6 | 4.64 |
| 74. [tex]\( 549 \div 41 \)[/tex] | 13.4 | 13.39 |
| 75. [tex]\( 785 \div 188 \)[/tex] | 4.2 | 4.18 |
So, these are the estimated and exact quotients for each division problem.
