4.82 x 10^12 x 256.7
show your work
To multiply two numbers written in scientific notation, we first multiply their coefficients and then add their exponents.
Given: 4.82 × 10^12 × 256.7
Coefficient calculation: 4.82 × 256.7 = 1241.994
Exponent calculation: 10^12 × 10^0 = 10^(12+0) = 10^12
Multiplying the coefficient and adding the exponents, we get:
1241.994 × 10^12
Therefore, the final answer is 1.241994 × 10^15.
To perform the multiplication, we need to multiply 4.82 by 10^12 and then multiply the result by 256.7.
Step 1: Multiply 4.82 by 10^12
To multiply a number by a power of 10, you move the decimal point to the right by the number of zeros indicated by the exponent.
4.82 x 10^12 = 4.82 * 1,000,000,000,000 = 4,820,000,000,000
Step 2: Multiply the result from Step 1 by 256.7
Now, we multiply the number obtained in Step 1 (4,820,000,000,000) by 256.7.
4,820,000,000,000 x 256.7 = 1,236,994,000,000,000
So, the product of 4.82 x 10^12 and 256.7 is 1,236,994,000,000,000.
To multiply numbers written in scientific notation, we need to multiply their coefficients and add their exponents. Let's calculate the product of 4.82 x 10^12 multiplied by 256.7 step by step:
1. Multiply the coefficients: 4.82 x 256.7 = 1,238.414
2. Add the exponents: 10^12 x 10^0 = 10^(12+0) = 10^12
Therefore, the final result is 1,238.414 x 10^12.