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The square is a grid. Some columns are shaded blue and some rows yellow; cells shaded both ways are orange. Which decimal multiplication does the orange part show?

Class 7Fractions and DecimalsFractions and Decimals
  • A
  • B
  • C0.7 + 0.4 = 1.1
  • D

Step-by-Step Solution

Blue: 7 of 10 columns . Yellow: 4 of 10 rows . Orange: of 100 cells, so .
Answer: A)

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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