Question

learning goal 2.6: students will divide multi-digit decimals to the thousandths. find each quotient. show your work. 1. 48.64 ÷ 0.8 2. 49.02 ÷ 3.8 3. 217.74 ÷ 0.38 4. 48.861 ÷ 9.15

Explanation:

Step1: Solve \( 48.64\div0.8 \)

To divide a decimal by a decimal, we can move the decimal point of the divisor to make it a whole number. For \( 48.64\div0.8 \), multiply both the dividend and the divisor by 10 to get \( 486.4\div8 \). Then perform the division: \( 486.4\div8 = 60.8 \).

Step2: Solve \( 49.02\div3.8 \)

Multiply both the dividend and the divisor by 10 to convert the divisor to a whole number: \( 490.2\div38 \). Now divide: \( 490.2\div38 = 12.9 \).

Step3: Solve \( 217.74\div0.38 \)

Multiply both by 100 to get \( 21774\div38 \). Dividing these gives \( 21774\div38 = 573 \).

Step4: Solve \( 48.861\div9.15 \)

Multiply both by 1000 to eliminate decimals: \( 48861\div9150 \). Simplify or divide directly: \( 48861\div9150 = 5.34 \).

Answer:

1. \( 60.8 \)
2. \( 12.9 \)
3. \( 573 \)
4. \( 5.34 \)