Choose one of the scientific numbers from the list and multiply it by 256.7.
Show your work.
4.82*10^12
To multiply 4.82*10^12 by 256.7, we can first multiply the numerical part and then add the exponents.
Numerical part: 4.82 * 256.7 = 1239.994
Exponents: 10^12
Therefore, the multiplication of 4.82*10^12 by 256.7 is equal to 1239.994*10^12.
To multiply 4.82 * 10^12 by 256.7, you can follow these steps:
Step 1: Multiply the two decimal numbers: 4.82 * 256.7 = 1240.394
Step 2: Multiply the powers of 10: 10^12 * 10^0 = 10^(12+0) = 10^12
Step 3: Combine the result from step 1 with the result from step 2:
1240.394 * 10^12
So, multiplying 4.82 * 10^12 by 256.7 would give you 1240.394 * 10^12.
To multiply a scientific number by a decimal, we can follow these steps:
Step 1: Write down the scientific number.
4.82 x 10^12
Step 2: Multiply the coefficient (the number before the 'x') by the decimal.
4.82 x 256.7 = 1,237.894
Step 3: Add the exponents of the scientific notation.
10^12 * 10^0 = 10^(12+0) = 10^12
Step 4: Write down the coefficient and the new exponent in scientific notation.
1,237.894 x 10^12
Therefore, when we multiply the scientific number 4.82 x 10^12 by 256.7, the result is approximately 1,237.894 x 10^12.