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Without working out every answer in full, decide which of these products is the LARGEST.

Class 7Fractions and DecimalsFractions and Decimals
  • A
  • B
  • C
  • D

Step-by-Step Solution

Every product starts from the same 0.9, so only the second factor matters. Multiplying by a number bigger than 1 makes the result bigger, and 1.2 is the only such factor: , while the others give 0.72, 0.9 and 0.072. The trap is assuming multiplication always makes a number bigger.
Answer: B)

Key idea: Multiplying decimals

Step 1: ignore the decimal points and multiply as whole numbers. Step 2: in the answer, place the decimal point so the **total decimal places equals the sum of the decimal places in the two factors**.

Example: . Whole-number multiply: . Total decimal places: 1 + 1 = 2. Place decimal: 0.24.

Example: . Decimal places: 2 + 1 = 3. Place: 0.375.

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