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11) $7.7 \\times 9.1$ 12) $3.2 \\times 2.1$ 13) $72.5 \\times 9.9$ 14) …

Question

  1. $7.7 \times 9.1$
  2. $3.2 \times 2.1$
  3. $72.5 \times 9.9$
  4. $77.7 \times 2.3$
  5. $641.1 \times 8.9$
  6. $8.92 \times 8.34$

Explanation:

Response
11) \( 7.7 \times 9.1 \)

Step1: Multiply as whole numbers

\( 77 \times 91 = 7007 \)

Step2: Count decimal places

Total decimal places: \( 1 + 1 = 2 \)

Step3: Place decimal

\( 7007 \div 100 = 70.07 \)

Step1: Multiply as whole numbers

\( 32 \times 21 = 672 \)

Step2: Count decimal places

Total decimal places: \( 1 + 1 = 2 \)

Step3: Place decimal

\( 672 \div 100 = 6.72 \)

Step1: Rewrite \( 9.9 \) as \( 10 - 0.1 \)

\( 72.5 \times (10 - 0.1) \)

Step2: Distribute multiplication

\( 72.5 \times 10 - 72.5 \times 0.1 = 725 - 7.25 \)

Step3: Subtract

\( 725 - 7.25 = 717.75 \)

Answer:

\( 70.07 \)

12) \( 3.2 \times 2.1 \)