Practice Multiplying by 5, 25, 125, and 625
Worksheet Description
Practice multiplying by 5, 25, 125, and 625 using quick tricks based on halving and division. Strengthen speed maths and mental arithmetic skills
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The Worksheet
The detailed description of the worksheet
This online worksheet helps students practice multiplying numbers by 5, 25, 125, and 625 using clever quick arithmetic tricks. Instead of relying on long multiplication, students learn to transform these problems into simple division steps involving halving or dividing by 4, 8, or 16 — all derived from powers of 2. Before generating the worksheet, learners can configure options such as the number of digits (2, 3, 4, or 5) and choose to exclude 0s or 1s to make the practice more challenging.
The underlying math shortcut is elegantly simple. Multiplying by 5 means appending a zero and halving the number; by 25 means appending two zeros and dividing by 4; by 125 means appending three zeros and dividing by 8; and by 625 means appending four zeros and dividing by 16. This concept connects beautifully with the halving skills learned in earlier worksheets on doubling and halving.
Multiply by 5
- Append a 0 to the multiplicand and halve it.
- Example: 56 5 is worked out as 560 2 = 280.
Multiply by 25
- Append two 0s to the multiplicand and divide it by 4 (Or halve it twice).
- Example: 729 25 is worked out as 72900 4 = 18225.
Multiply by 125
- Append three 0s to the multiplicand and divide it by 8 (Or halve it thrice).
- Example: 634 125 is worked out as 634000 8 = 79250.
Multiply by 625
- Append four 0s to the multiplicand and divide it by 16 (Or halve it four times).
- Example: 217 625 is worked out as 2170000 16 = 135625.
Related Worksheets
Before practicing this worksheet, students are encouraged to review their halving and doubling skills. Start with the Practice Halving and Doubling the Numbers worksheet to master the basic skill of splitting and doubling numbers quickly. Then move to the Halving and Doubling Number Towers worksheet to strengthen speed and accuracy with numbers stacked in tower form. The halving technique learned in these worksheets directly applies to the multiplication tricks used here with 5, 25, 125, and 625.