Question

estimate the quotient.

1. $2.3\div6$
2. $1.67\div8$
3. $28\div4.7$
4. $13.8\div4.9$
5. $42.1\div7.3$
6. $201.94\div18.1$

Explanation:

1. \(2.3\div6\)

Step1: Round 2.3 to 2 (since 2 is close to 2.3 and divisible by 6)

\(2\div6\)

Step2: Calculate the quotient

\(2\div6\approx0.33\) (or we can also round 2.3 to 2.4, then \(2.4\div6 = 0.4\), which is a more accurate estimate. Let's use 2.4 for better estimation)
\(2.4\div6 = 0.4\)

Step1: Round 1.67 to 1.6 (since 1.6 is divisible by 8)

\(1.6\div8\)

Step2: Calculate the quotient

\(1.6\div8 = 0.2\)

Step1: Round 4.7 to 5 (since 5 is close to 4.7 and 28 is divisible by 5? Wait, 28 is not divisible by 5. Alternatively, round 4.7 to 4.9 is not helpful. Wait, round 28 to 30? No, better to round 4.7 to 4.8 or 5. Let's round 4.7 to 5, then \(28\div5 = 5.6\). Or round 4.7 to 4.8, then \(28\div4.8\approx5.83\). But a better way: round 4.7 to 5, \(28\div5 = 5.6\), or notice that \(4.7\approx5\), so \(28\div5 = 5.6\), or \(4.7\approx4.9\) is close to 5, but 28 divided by 5 is easier. Alternatively, round 28 to 29 is not helpful. Let's use 4.7 ≈ 5.

\(28\div5\)

Step2: Calculate the quotient

\(28\div5 = 5.6\) (we can also round 28 to 30, \(30\div5 = 6\), but 28 is closer to 28, so 28÷5 = 5.6 is better)

Answer:

\(\approx0.4\) (or \(\approx0.33\) if we use 2)

2. \(1.67\div8\)