Question
Multiply $ 1.46 $ by $ 6.02\cdot 10^{23} $.
Answer
$$ 1.46 \times 6.02\cdot 10^{23} = 8.7892\cdot 10^{23} $$
Explanation
Step 1: Write both numbers in scientific notation. For more information, use the SN Converter.
$$ 1.46 = 1.46 $$$$ 6.02\cdot 10^{23} = 6.02\cdot 10^{23} $$Step 2: Multiply the numeric parts. Note that in intermediate calculations, we need 6 significant digits.
$$ 1.46 \cdot 6.02 \approx 8.7892 $$Step 3: Multiply $10^{ 0 }$ by $10^{ 23 }$:
$$ 10^{ 0 } \cdot 10^{ 23 } = 10^{ 0+23 } = 10^{ 23 } $$Step 4: Write the solution as the product of the numbers obtained in steps two and three.
$$ 8.7892 \cdot 10^{ 23 } $$This page was created using
Scientific notation Calculator