Estimate the quotient by estimating each term to its greatest place.
`3578-:77`

Answer

To estimate the quotient of 3578 divided by 77 by rounding each term to its greatest place, follow these steps:

### Step 1: Round 3578 to its greatest place
- The greatest place value in 3578 is the thousands place. The number is between 3000 and 4000. Since 3578 is closer to 4000, we round it up to **4000**.

### Step 2: Round 77 to its greatest place
- The greatest place value in 77 is the tens place. The number is between 70 and 80. Since 77 is closer to 80, we round it up to **80**.

### Step 3: Set up the estimated division
- Now we have the estimated numbers: 4000 and 80. We need to divide these two numbers:
\[ \frac{4000}{80} \]

### Step 4: Simplify the division
- We can simplify this division by canceling one zero from the numerator and one from the denominator:
\[ \frac{4000 \div 10}{80 \div 10} = \frac{400}{8} \]

### Step 5: Perform the division
- Now, divide 400 by 8:
\[ 400 \div 8 = 50 \]

### Final Answer
- The estimated quotient of 3578 divided by 77 is **50**.

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