Question

find each quotient.

1. \\(3.2\enclose{longdiv}{19.2}\\)
2. \\(0.01\enclose{longdiv}{8.64}\\)
3. \\(0.1\enclose{longdiv}{864}\\)
4. \\(2.2\enclose{longdiv}{8.8}\\)
5. \\(0.22\enclose{longdiv}{88.0}\\)

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topic 6 | lesson 6 - 5

Explanation:

Let's solve each division problem one by one. We'll take problem 6, 7, 8, 10, 11 as visible.

Problem 6: \( 3.2 \enclose{longdiv}{19.2} \)

Step1: Convert divisor to whole number

Multiply both dividend and divisor by 10 to eliminate the decimal in the divisor: \( \frac{19.2\times10}{3.2\times10}=\frac{192}{32} \)

Step2: Perform division

\( 192\div32 = 6 \)

Step1: Convert divisor to whole number

Multiply both by 100: \( \frac{8.64\times100}{0.01\times100}=\frac{864}{1} \)

Step2: Divide

\( 864\div1 = 864 \)

Step1: Convert divisor to whole number

Multiply both by 10: \( \frac{86.4\times10}{0.1\times10}=\frac{864}{1} \)

Step2: Divide

\( 864\div1 = 864 \) (Wait, maybe the dividend is 8.64? If dividend is 8.64: \( \frac{8.64\times10}{0.1\times10}=\frac{86.4}{1}=86.4 \). Let's check the visible text: "0.1)86.4" (assuming). So:

Step1: Multiply by 10: \( 86.4\div0.1 = 86.4\times10 = 864 \) (Wait, 0.1 times 864 is 86.4. So correct.

Answer:

6

Problem 7: \( 0.01 \enclose{longdiv}{8.64} \)