16. Squaring Decimal Numbers : Ex: (1.2)² Ex: (2.35)² Ex 3: (0.07)²
Shortcut for Squaring Decimal Numbers (āĻĻāĻļāĻŽāĻŋāĻ āϏāĻāĻā§āϝāĻžā§° āĻŦā§°ā§āĻ āĻā§°āĻžā§° āϏāĻšāĻ āĻā§āĻļāϞ)
Rule (āύāĻŋāϝāĻŧāĻŽ)
- Ignore the decimal point and square the number as an integer. (āĻĻāĻļāĻŽāĻŋāĻ āĻŦāĻŋāύā§āĻĻā§āĻā§ āϏāĻžāĻŽāϝāĻŧāĻŋāĻāĻāĻžā§ąā§ āĻāĻāϤ⧰āĻžāĻ āϏāĻāĻā§āϝāĻžāĻā§āĻ āĻĒā§ā§°ā§āĻŖāϏāĻāĻā§āϝāĻž āĻšāĻŋāĻāĻžāĻĒā§ āĻŦā§°ā§āĻ āĻā§°āĻāĨ¤)
- Count the decimal places in the original number. (āĻŽā§āϞ āϏāĻāĻā§āϝāĻžāϤ āĻĨāĻāĻž āĻĻāĻļāĻŽāĻŋāĻ āĻā§°ā§° āϏāĻāĻā§āϝāĻž āĻāĻŖāύāĻž āĻā§°āĻāĨ¤)
- Put double the decimal places in the final answer. (āĻāϤā§āϤ⧰āϤ āϤāĻžā§° āĻĻā§āĻā§āĻŖ āĻĻāĻļāĻŽāĻŋāĻ āĻā§° ā§°āĻžāĻāĻāĨ¤)
Ex: (1.2)²
- Ignore decimal: 122=144
- 1 decimal place → Answer must have 2 decimal places
- Ans: 1.44
Ex: (2.35)²
- Ignore decimal: 2352=55225
- 2 decimal places → Answer must have 4 decimal places
- Ans: 5.5225
Ex 3: (0.07)²
- Ignore decimal: 72=49
- 2 decimal places → Answer must have 4 decimal places
- Ans: 0.0049
This method works for all decimal numbers.
===============================================