Question

for problems 7-12, find the quotient.

1. 52.8 ÷ 16
2. 0.56 ÷ 0.025
3. 40.32 ÷ 4.8
4. 24.186 ÷ 6
5. 198.86 ÷ 6.1
6. 5.44 ÷ 3.4

module 4 • lesson 4

Explanation:

Step1: Solve \(52.8\div16\)

We can perform the division directly. \(52.8\div16 = 3.3\) (since \(16\times3 = 48\), \(52.8 - 48 = 4.8\), and \(4.8\div16 = 0.3\), so \(3 + 0.3 = 3.3\)).

Step2: Solve \(0.56\div0.025\)

Multiply numerator and denominator by 1000 to eliminate decimals: \(\frac{0.56\times1000}{0.025\times1000}=\frac{560}{25}\). Then divide: \(560\div25 = 22.4\).

Step3: Solve \(40.32\div4.8\)

Multiply numerator and denominator by 10 to get \(\frac{403.2}{48}\). Now divide: \(48\times8 = 384\), \(403.2 - 384 = 19.2\), \(19.2\div48 = 0.4\), so total is \(8 + 0.4 = 8.4\).

Step4: Solve \(24.186\div6\)

Divide each digit: \(24\div6 = 4\), \(0.186\div6 = 0.031\), so \(4 + 0.031 = 4.031\).

Step5: Solve \(198.86\div6.1\)

Multiply numerator and denominator by 10 to get \(\frac{1988.6}{61}\). \(61\times32 = 1952\), \(1988.6 - 1952 = 36.6\), \(36.6\div61 = 0.6\), so total is \(32 + 0.6 = 32.6\).

Step6: Solve \(5.44\div3.4\)

Multiply numerator and denominator by 10 to get \(\frac{54.4}{34}\). \(34\times1 = 34\), \(54.4 - 34 = 20.4\), \(20.4\div34 = 0.6\), so total is \(1 + 0.6 = 1.6\).

Answer:

1. \(3.3\)
2. \(22.4\)
3. \(8.4\)
4. \(4.031\)
5. \(32.6\)
6. \(1.6\)