Final answer:
To estimate each quotient, round the numbers to an easier-to-divide form while keeping them close to the original values. Then perform division with those rounded numbers to get an estimate.
Step-by-step explanation:
Estimating each quotient involves rounding the numbers to a certain place value that makes the division simpler while still keeping the numbers close to their original values. Here's a step-by-step explanation for the given problems:
- 32.4 ÷ 3: Round 32.4 to 32, which is easier to divide by 3. The estimate is 32 ÷ 3 = 10.67.
- 35.7 ÷ 11.4: Round 35.7 to 36 and 11.4 to 11 for easier division. The estimate is 36 ÷ 11 = 3.27.
- 76.2 ÷ 18.4: Round 76.2 to 76 and 18.4 to 18. The estimate is 76 ÷ 18 = 4.22.
- 54 ÷ 9.4: Round 9.4 to 9, since 54 is already a round number. The estimate is 54 ÷ 9 = 6.
- 45.8 ÷ 23.6: Round 45.8 to 46 and 23.6 to 24. The estimate is 46 ÷ 24 = 1.92.
- 119 ÷ 23.3: Round 119 to 120 and 23.3 to 23. The estimate is 120 ÷ 23 = 5.22.