Divide whole numbers by decimals Worksheets for Kids Online ... - Free Printable

The task involves dividing whole numbers by hundredths (numbers less than 0.1). To solve these problems, we need to understand that dividing by a decimal is equivalent to multiplying by its reciprocal. Here's how we can approach each problem step by step:

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General Approach:

1. Understand the division: When dividing by a decimal, it's helpful to convert the divisor into a whole number by moving the decimal point.
2. Move the decimal points: Move the decimal point in both the dividend and the divisor by the same number of places to the right until the divisor becomes a whole number.
3. Perform the division: Divide the new dividend by the new divisor.

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Solutions:

#### First Column:
1. 15 ÷ 0.07 =
- Move the decimal point 2 places to the right in both numbers:
- 15 becomes 1500
- 0.07 becomes 7
- Now, divide: \( 1500 \div 7 = 214.2857 \) (approximately)
- Answer: \( 214.29 \) (rounded to two decimal places)

2. 54 ÷ 0.05 =
- Move the decimal point 2 places to the right in both numbers:
- 54 becomes 5400
- 0.05 becomes 5
- Now, divide: \( 5400 \div 5 = 1080 \)
- Answer: \( 1080 \)

3. 49 ÷ 0.06 =
- Move the decimal point 2 places to the right in both numbers:
- 49 becomes 4900
- 0.06 becomes 6
- Now, divide: \( 4900 \div 6 = 816.6667 \) (approximately)
- Answer: \( 816.67 \) (rounded to two decimal places)

4. 40 ÷ 0.09 =
- Move the decimal point 2 places to the right in both numbers:
- 40 becomes 4000
- 0.09 becomes 9
- Now, divide: \( 4000 \div 9 = 444.4444 \) (approximately)
- Answer: \( 444.44 \) (rounded to two decimal places)

5. 29 ÷ 0.04 =
- Move the decimal point 2 places to the right in both numbers:
- 29 becomes 2900
- 0.04 becomes 4
- Now, divide: \( 2900 \div 4 = 725 \)
- Answer: \( 725 \)

6. 23 ÷ 0.07 =
- Move the decimal point 2 places to the right in both numbers:
- 23 becomes 2300
- 0.07 becomes 7
- Now, divide: \( 2300 \div 7 = 328.5714 \) (approximately)
- Answer: \( 328.57 \) (rounded to two decimal places)

7. 37 ÷ 0.03 =
- Move the decimal point 2 places to the right in both numbers:
- 37 becomes 3700
- 0.03 becomes 3
- Now, divide: \( 3700 \div 3 = 1233.3333 \) (approximately)
- Answer: \( 1233.33 \) (rounded to two decimal places)

8. 14 ÷ 0.08 =
- Move the decimal point 2 places to the right in both numbers:
- 14 becomes 1400
- 0.08 becomes 8
- Now, divide: \( 1400 \div 8 = 175 \)
- Answer: \( 175 \)

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#### Second Column:
1. 65 ÷ 0.02 =
- Move the decimal point 2 places to the right in both numbers:
- 65 becomes 6500
- 0.02 becomes 2
- Now, divide: \( 6500 \div 2 = 3250 \)
- Answer: \( 3250 \)

2. 80 ÷ 0.06 =
- Move the decimal point 2 places to the right in both numbers:
- 80 becomes 8000
- 0.06 becomes 6
- Now, divide: \( 8000 \div 6 = 1333.3333 \) (approximately)
- Answer: \( 1333.33 \) (rounded to two decimal places)

3. 74 ÷ 0.05 =
- Move the decimal point 2 places to the right in both numbers:
- 74 becomes 7400
- 0.05 becomes 5
- Now, divide: \( 7400 \div 5 = 1480 \)
- Answer: \( 1480 \)

4. 71 ÷ 0.08 =
- Move the decimal point 2 places to the right in both numbers:
- 71 becomes 7100
- 0.08 becomes 8
- Now, divide: \( 7100 \div 8 = 887.5 \)
- Answer: \( 887.50 \) (rounded to two decimal places)

5. 96 ÷ 0.09 =
- Move the decimal point 2 places to the right in both numbers:
- 96 becomes 9600
- 0.09 becomes 9
- Now, divide: \( 9600 \div 9 = 1066.6667 \) (approximately)
- Answer: \( 1066.67 \) (rounded to two decimal places)

6. 91 ÷ 0.04 =
- Move the decimal point 2 places to the right in both numbers:
- 91 becomes 9100
- 0.04 becomes 4
- Now, divide: \( 9100 \div 4 = 2275 \)
- Answer: \( 2275 \)

7. 58 ÷ 0.03 =
- Move the decimal point 2 places to the right in both numbers:
- 58 becomes 5800
- 0.03 becomes 3
- Now, divide: \( 5800 \div 3 = 1933.3333 \) (approximately)
- Answer: \( 1933.33 \) (rounded to two decimal places)

8. 97 ÷ 0.07 =
- Move the decimal point 2 places to the right in both numbers:
- 97 becomes 9700
- 0.07 becomes 7
- Now, divide: \( 9700 \div 7 = 1385.7143 \) (approximately)
- Answer: \( 1385.71 \) (rounded to two decimal places)

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Final Answers:

\[
\begin{array}{ll}
15 \div 0.07 = 214.29 & 65 \div 0.02 = 3250 \\
54 \div 0.05 = 1080 & 80 \div 0.06 = 1333.33 \\
49 \div 0.06 = 816.67 & 74 \div 0.05 = 1480 \\
40 \div 0.09 = 444.44 & 71 \div 0.08 = 887.50 \\
29 \div 0.04 = 725 & 96 \div 0.09 = 1066.67 \\
23 \div 0.07 = 328.57 & 91 \div 0.04 = 2275 \\
37 \div 0.03 = 1233.33 & 58 \div 0.03 = 1933.33 \\
14 \div 0.08 = 175 & 97 \div 0.07 = 1385.71 \\
\end{array}
\]

\boxed{
\begin{array}{ll}
214.29 & 3250 \\
1080 & 1333.33 \\
816.67 & 1480 \\
444.44 & 887.50 \\
725 & 1066.67 \\
328.57 & 2275 \\
1233.33 & 1933.33 \\
175 & 1385.71 \\
\end{array}
}