Multiplying and Dividing Decimals: math practice, Grade 5 – download the PDF

1 Multiply by 10, 100, and 1,000 ★★★

Compute without a calculator.

1. \(3.7 \times 10\)
2. \(0.46 \times 100\)
3. \(5.2 \times 1{,}000\)
4. \(0.008 \times 1{,}000\)
5. \(12.35 \times 10\)

2 Divide by 10, 100, and 1,000 ★★★

Compute.

1. \(45 \div 10\)
2. \(6.3 \div 100\)
3. \(820 \div 1{,}000\)
4. \(7.5 \div 10\)
5. \(0.9 \div 10\)

3 Find the missing number ★★★

Write the missing number in each equation.

1. \(2.8 \times \square = 280\)
2. \(91 \div \square = 0.91\)
3. \(\square \times 10 = 6.5\)
4. \(\square \div 1{,}000 = 0.034\)

4 Decimal times a whole number ★★★

Compute.

1. \(0.4 \times 6\)
2. \(1.3 \times 5\)
3. \(2.5 \times 4\)
4. \(3.2 \times 3\)
5. \(0.07 \times 8\)

5 Notebooks at the store ★★★

A notebook costs \(\$2.30\). Maya buys 4 notebooks. How much does she pay?

6 Divide by a whole number ★★★

Compute and check by multiplying.

1. \(8.4 \div 4\)
2. \(9.6 \div 3\)
3. \(0.72 \div 6\)
4. \(5.5 \div 5\)
5. \(3.6 \div 9\)

7 Place the decimal point ★★★

You know that \(24 \times 13 = 312\). Use this fact to place the decimal point.

1. \(2.4 \times 1.3\)
2. \(0.24 \times 13\)
3. \(24 \times 0.013\)
4. \(2.4 \times 0.13\)

8 Read the area model ★★★

The orange rectangle in the grid is made of tenths of the big square, which stands for 1 whole.

1. How many columns and how many rows of tenths does the orange rectangle have?
2. Write the multiplication it shows and give the product.
3. Use a similar model to find \(0.5 \times 0.9\).

9 Multiply with more digits ★★★

Compute.

1. \(3.4 \times 6\)
2. \(5.25 \times 4\)
3. \(0.85 \times 12\)
4. \(6.07 \times 5\)

10 Decimal times decimal ★★★

Compute.

1. \(1.5 \times 2.4\)
2. \(0.8 \times 0.35\)
3. \(4.2 \times 0.5\)
4. \(0.06 \times 0.9\)

11 Estimate to place the point ★★★

The digits of \(6.8 \times 4.9\) are \(3332\). Estimate first, then choose the correct product: \(3.332\), \(33.32\), or \(333.2\).

12 Flour for the bakery ★★★

A baker uses 0.35 kilogram of flour for each loaf of bread. How much flour does she need for 14 loaves?

13 Divide, then check ★★★

Compute.

1. \(15.6 \div 4\)
2. \(7.2 \div 8\)
3. \(0.45 \div 5\)
4. \(14.7 \div 7\)
5. \(9 \div 4\)

14 Whole number divided by a decimal ★★★

Compute. Hint: ask how many of the small number fit in the big one.

1. \(4 \div 0.5\)
2. \(9 \div 0.3\)
3. \(6 \div 0.25\)
4. \(2 \div 0.1\)

15 Inches, centimeters, and miles ★★★

Use 1 inch = 2.54 cm and 1 mile = 1.61 km.

1. A phone is 5.5 inches tall. How tall is it in centimeters?
2. A pole is 6 feet tall (72 inches). How tall is it in centimeters?
3. A trail is 3 miles long. How many kilometers is that?

16 True or false? ★★★

Decide if each statement is true or false. Justify with a calculation.

1. Multiplying a number by 0.1 gives the same result as dividing it by 10.
2. \(5.2 \times 0.4\) is greater than \(5.2\).
3. \(6 \div 0.5\) is less than \(6\).
4. \(0.9 \times 0.9 = 0.81\).

17 Find the mistake ★★★

Leo wrote \(0.3 \times 0.4 = 1.2\).

1. Explain his mistake.
2. Give the correct product and check it with a 10 by 10 grid.
3. Leo also wrote \(2.5 \div 0.5 = 1.25\). Is that right? Correct it if needed.

18 Fruit stand ★★★

Lena buys 3.5 pounds of apples at \(\$1.20\) per pound and 2 pounds of pears at \(\$1.75\) per pound. She pays with a \(\$10\) bill.

1. How much do the apples cost?
2. How much do the pears cost?
3. How much change does she get?

19 Pouring juice ★★★

A party host has 7.2 liters of juice.

1. How many cups of 0.3 liter can be filled?
2. How many bottles of 0.45 liter can be filled instead?
3. Which container needs more refills, and by how many?

20 Drone flight ★★★

A drone flies 0.45 kilometer every minute at a steady speed.

1. How far does it fly in 12 minutes?
2. How many minutes does it need to fly 9 kilometers?

21 Number puzzles ★★★

Solve each puzzle.

1. A number multiplied by 1,000 equals 4,250. What is the number divided by 10?
2. A number divided by 4 equals 1.35. What is the number?
3. \(\square \times 6 = 4.8\). Find the missing number.

22 Garden bed and soil ★★★

A garden bed is a rectangle 2.5 meters long and 1.2 meters wide.

One bag of soil covers 0.5 square meter and costs \(\$4.25\).

1. Find the area of the garden bed.
2. How many bags are needed?
3. What is the total cost?