Simplify 0.000215×0.000028 express your answer in standard form

Question

ScanSolve AI Tutor · Accepted Answer

To simplify the expression, first convert each number into standard form. Step 1: Express each number in standard form. 0.000215 = 2.15 × 10⁻⁴; 0.000028 = 2.8 × 10⁻⁵ Step 2: Multiply the standard form expressions. (2.15 × 10⁻⁴) × (2.8 × 10⁻⁵) Step 3: Multiply the numerical parts and the powers of 10 separately. (2.15 × 2.8) × (10⁻⁴ × 10⁻⁵) Step 4: Perform the multiplication of the numerical parts. 2.15 × 2.8 = 6.02 Step 5: Perform the multiplication of the powers of 10 by adding the exponents. 10⁻⁴ × 10⁻⁵ = 10⁽⁻⁴⁾⁺⁽⁻⁵⁾ = 10⁻⁹ Step 6: Combine the results to get the final answer in standard form. 6.02 × 10⁻⁹ The simplified expression in standard form is 6.02 × 10⁻⁹.

Simplify 0.000215×0.000028 express your answer in standard form

Answer

Step-by-step solution

Express each number in standard form.

Multiply the standard form expressions.

Multiply the numerical parts and the powers of 10 separately.

Perform the multiplication of the numerical parts.

Perform the multiplication of the powers of 10 by adding the exponents.

Combine the results to get the final answer in standard form.

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