Simplify the following:
101 × 105

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Solution

101 × 105 = (100 + 1) × 105
= 100 × 105 + 1 × 105
= 100 × (100 + 5) + 105
= 10000 + 500 +105
= 10605

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9 \frac{1}{11} \times 10 \frac{1}{12}

Express the following standard form.

(a) 5 × 10⁶ + 4 × 10⁵ + 2 × 10³ + 9 × 10² + 6 × 10⁰

(b) 4 × 10⁵ + 8 ×10³ + 7 × 10¹

105 \times 101 \times 102

{(101)}^{2}

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