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Arrange , 0.4 and 37% from smallest to largest.

Class 7Comparing QuantitiesComparing Quantities
  • A, 37%, 0.4
  • B0.4, , 37%
  • C37%,
  • D37%, 0.4,

Step-by-Step Solution

Put all three into one form — decimals are easiest. ; 0.4 stays 0.4; 37% = . Now 0.37 < 0.375 < 0.4, so the order is 37%, , 0.4. The trap is comparing the written symbols instead of the values: 37 is the largest-looking number but the smallest value, and 3 over 8 sits between the two decimals.
Answer: C) 37%,

Key idea: Three forms of the same number

Fractions, decimals, and percentages are three notations for the same idea. Convert freely:

- **Fraction → percentage**: multiply by 100. .
- **Percentage → fraction**: divide by 100 and simplify. .
- **Decimal → percentage**: shift two places right. 0.34 = 34%.
- **Percentage → decimal**: shift two places left. 8% = 0.08.

With practice, this becomes automatic and you can move between forms without thinking.

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