Grade 5 math worksheet for dividing decimals with whole number quotients.

Problem Description:

The worksheet provided is about dividing decimals to find whole number quotients. Each problem involves dividing a decimal by another decimal, and the goal is to determine the missing quotient for each division.

Solution Approach:

To solve these problems, we will use the basic principle of division involving decimals. The key steps are:
1. Understand the Division: Recognize that dividing decimals can often be simplified by converting them into whole numbers or fractions.
2. Move the Decimal Point: If necessary, move the decimal points in both the dividend and divisor to make the divisor a whole number. This does not change the value of the quotient.
3. Perform the Division: Divide the adjusted numbers to find the quotient.
4. Verify the Result: Ensure the quotient is a whole number as required by the problem.

Let’s solve each problem step by step.

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Problem 1: \( 3.3 \div 0.1 = \_\_\_\_\_ \)

- Step 1: Move the decimal point in both numbers one place to the right to eliminate the decimal in the divisor.
- \( 3.3 \div 0.1 \) becomes \( 33 \div 1 \).
- Step 2: Perform the division.
- \( 33 \div 1 = 33 \).
- Answer: \( 33 \).

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Problem 2: \( 1.0 \div 0.2 = \_\_\_\_\_ \)

- Step 1: Move the decimal point in both numbers one place to the right.
- \( 1.0 \div 0.2 \) becomes \( 10 \div 2 \).
- Step 2: Perform the division.
- \( 10 \div 2 = 5 \).
- Answer: \( 5 \).

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Problem 3: \( 1.2 \div 0.1 = \_\_\_\_\_ \)

- Step 1: Move the decimal point in both numbers one place to the right.
- \( 1.2 \div 0.1 \) becomes \( 12 \div 1 \).
- Step 2: Perform the division.
- \( 12 \div 1 = 12 \).
- Answer: \( 12 \).

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Problem 4: \( 4.2 \div 0.7 = \_\_\_\_\_ \)

- Step 1: Move the decimal point in both numbers one place to the right.
- \( 4.2 \div 0.7 \) becomes \( 42 \div 7 \).
- Step 2: Perform the division.
- \( 42 \div 7 = 6 \).
- Answer: \( 6 \).

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Problem 5: \( 6.8 \div 0.2 = \_\_\_\_\_ \)

- Step 1: Move the decimal point in both numbers one place to the right.
- \( 6.8 \div 0.2 \) becomes \( 68 \div 2 \).
- Step 2: Perform the division.
- \( 68 \div 2 = 34 \).
- Answer: \( 34 \).

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Problem 6: \( 5.7 \div 0.3 = \_\_\_\_\_ \)

- Step 1: Move the decimal point in both numbers one place to the right.
- \( 5.7 \div 0.3 \) becomes \( 57 \div 3 \).
- Step 2: Perform the division.
- \( 57 \div 3 = 19 \).
- Answer: \( 19 \).

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Problem 7: \( 0.9 \div 0.3 = \_\_\_\_\_ \)

- Step 1: Move the decimal point in both numbers one place to the right.
- \( 0.9 \div 0.3 \) becomes \( 9 \div 3 \).
- Step 2: Perform the division.
- \( 9 \div 3 = 3 \).
- Answer: \( 3 \).

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Problem 8: \( 1.9 \div 0.1 = \_\_\_\_\_ \)

- Step 1: Move the decimal point in both numbers one place to the right.
- \( 1.9 \div 0.1 \) becomes \( 19 \div 1 \).
- Step 2: Perform the division.
- \( 19 \div 1 = 19 \).
- Answer: \( 19 \).

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Problem 9: \( 5.7 \div 0.1 = \_\_\_\_\_ \)

- Step 1: Move the decimal point in both numbers one place to the right.
- \( 5.7 \div 0.1 \) becomes \( 57 \div 1 \).
- Step 2: Perform the division.
- \( 57 \div 1 = 57 \).
- Answer: \( 57 \).

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Problem 10: \( 5.2 \div 0.2 = \_\_\_\_\_ \)

- Step 1: Move the decimal point in both numbers one place to the right.
- \( 5.2 \div 0.2 \) becomes \( 52 \div 2 \).
- Step 2: Perform the division.
- \( 52 \div 2 = 26 \).
- Answer: \( 26 \).

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Problem 11: \( 0.9 \div 0.1 = \_\_\_\_\_ \)

- Step 1: Move the decimal point in both numbers one place to the right.
- \( 0.9 \div 0.1 \) becomes \( 9 \div 1 \).
- Step 2: Perform the division.
- \( 9 \div 1 = 9 \).
- Answer: \( 9 \).

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Problem 12: \( 7.5 \div 0.1 = \_\_\_\_\_ \)

- Step 1: Move the decimal point in both numbers one place to the right.
- \( 7.5 \div 0.1 \) becomes \( 75 \div 1 \).
- Step 2: Perform the division.
- \( 75 \div 1 = 75 \).
- Answer: \( 75 \).

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Problem 13: \( 8.5 \div 0.1 = \_\_\_\_\_ \)

- Step 1: Move the decimal point in both numbers one place to the right.
- \( 8.5 \div 0.1 \) becomes \( 85 \div 1 \).
- Step 2: Perform the division.
- \( 85 \div 1 = 85 \).
- Answer: \( 85 \).

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Problem 14: \( 8.5 \div 0.5 = \_\_\_\_\_ \)

- Step 1: Move the decimal point in both numbers one place to the right.
- \( 8.5 \div 0.5 \) becomes \( 85 \div 5 \).
- Step 2: Perform the division.
- \( 85 \div 5 = 17 \).
- Answer: \( 17 \).

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Problem 15: \( 2.0 \div 0.2 = \_\_\_\_\_ \)

- Step 1: Move the decimal point in both numbers one place to the right.
- \( 2.0 \div 0.2 \) becomes \( 20 \div 2 \).
- Step 2: Perform the division.
- \( 20 \div 2 = 10 \).
- Answer: \( 10 \).

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Problem 16: \( 7.2 \div 0.9 = \_\_\_\_\_ \)

- Step 1: Move the decimal point in both numbers one place to the right.
- \( 7.2 \div 0.9 \) becomes \( 72 \div 9 \).
- Step 2: Perform the division.
- \( 72 \div 9 = 8 \).
- Answer: \( 8 \).

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Final Answers:

\[
\boxed{
\begin{array}{ll}
1) & 33 \\
2) & 5 \\
3) & 12 \\
4) & 6 \\
5) & 34 \\
6) & 19 \\
7) & 3 \\
8) & 19 \\
9) & 57 \\
10) & 26 \\
11) & 9 \\
12) & 75 \\
13) & 85 \\
14) & 17 \\
15) & 10 \\
16) & 8 \\
\end{array}
}
\]