Question

Estimating Quotients with Two-Digit Divisors
Double tap to
the quotient of 456 ÷ 23.
add text
Round the divisor to the greatest place value, the tens.
23 → 20
Think: What can I multiply by 20 to get close to 456?
20 × 10 =
Double tap to add text
20x
Double
tap to add text
= 400
1?
456

Answer 1

To estimate the quotient of \( 456 \div 23 \), we can round the divisor to the nearest ten.

1. **Round the divisor:**
- \( 23 \) rounds to \( 20 \).

2. **Estimate the multiplication to get close to \( 456 \):**
- Think about what we can multiply by \( 20 \) to get close to \( 456 \).
- Start with \( 20 \times 10 = 200 \).
- Then try \( 20 \times 20 = 400 \).
- We see that \( 20 \times 22 = 440 \), which is also close.

3. **Calculate the quotient:**
- We found \( 20 \times 20 = 400 \) and \( 20 \times 22 = 440 \).
- Since \( 440 < 456 < 480 \), we can estimate that the quotient is a little more than \( 20 \).

4. **Result:**
- Therefore, our estimate for \( 456 \div 23 \) is about \( 20 \) (refined to possibly around \( 20-22 \) upon closer inspection).

In conclusion, the estimated quotient for \( 456 \div 23 \) is roughly **20**.