PEAZIT Aha card
Go straight to resources ↓Decimal division: scale both numbers equally
The quotient is unchanged when both numbers are multiplied by the same nonzero number. Remove the divisor’s decimal point and shift the dividend equally.
| Expression | Meaning |
|---|---|
| 4.8 ÷ 0.6 | The divisor has one decimal place. |
| 48 ÷ 6 | Multiply both parts of the quotient by ten. |
| 8 | Check: 8 × 0.6 = 4.8. |
One worked example
- 4.8 ÷ 0.6The divisor has one decimal place.
- 48 ÷ 6Multiply both parts of the quotient by ten.
- 8Check: 8 × 0.6 = 4.8.
Watch out: Dividing by a positive number below 1 can increase the result. Division by zero remains undefined.
Goal, prerequisites and card origin
What you will learn: Turn division by a decimal into division by a whole number.
What you need first: Multiplying by ten and the meaning of a quotient.
An original PEAZIT working card. Independent expert review and effectiveness testing have not yet taken place. · v1
Show connections
The quotient is unchanged when both numbers are multiplied by the same nonzero number. Remove the divisor’s decimal point and shift the dividend equally.