3.2x10^4 x 256.7
The multiplication of 3.2x10^4 and 256.7 is:
(3.2)(256.7) = 819.44
To multiply 3.2x10^4 by 256.7, follow these steps:
Step 1: Multiply the numerical values:
3.2 x 256.7 = 821.44
Step 2: Multiply the powers of 10:
10^4 x 10^0 = 10^(4+0) = 10^4 = 10000
Step 3: Multiply the result from Step 1 by the result from Step 2:
821.44 x 10000 = 8214400
Therefore, 3.2x10^4 x 256.7 = 8214400.
To multiply 3.2x10^4 by 256.7, follow these steps:
Step 1: Convert 3.2x10^4 to standard form.
- 3.2x10^4 means 3.2 multiplied by 10 raised to the power of 4.
- To convert it to standard form, move the decimal point 4 places to the right.
- 3.2x10^4 becomes 32,000.
Step 2: Multiply 32,000 by 256.7.
- Multiply the two numbers just like you would with regular multiplication:
32,000
x 256.7
---------------
– 00000
– 00000
+ 2567--
--------------
– 825,440
Step 3: Convert the result back to scientific notation.
- The result, 825,440, can be expressed as 8.2544x10^5 in scientific notation.
- Move the decimal point 5 places to the left.
- 825,440 becomes 8.2544.
- Add the exponent of 10^5 to the result.
- The final answer is 8.2544x10^5.