5x10^2 divide by 7x10^4
what is the answer in standard form
5*10^2 / 7*10^4 = 0.7143*10^-2 = 0.007143.
To divide the numbers in standard form, follow these steps:
1. Divide the coefficients (numbers in front of the powers of 10): 5 ÷ 7 = 0.7142857 (approximate)
2. Subtract the exponents of the powers of 10: (10^2) ÷ (10^4) = 10^(2 - 4) = 10^(-2)
Therefore, the answer in standard form is approximately 0.7142857 x 10^(-2).
To divide the expressions (5x10^2) and (7x10^4) and write the answer in standard form, follow these steps:
Step 1: Simplify the constants
Divide 5 by 7 to get the quotient: 5 ÷ 7 = 0.7143 (rounded to 4 decimal places).
Step 2: Simplify the exponents
When dividing numbers with exponents, subtract the exponents. In this case, subtract 2 from 4:
10^2 / 10^4 = 10^(2-4) = 10^(-2).
Step 3: Combine the simplified constants and exponents
Multiply the simplified constant (0.7143) by 10 raised to the power of the simplified exponent (-2):
0.7143 × 10^(-2) = 0.7143 × 0.01 = 0.007143.
Step 4: Express the answer in standard form
In standard form, the answer should be written as a number between 1 and 10 multiplied by a power of 10. In this case, we can rewrite 0.007143 as 7.143 × 10^(-3).
Therefore, the answer, expressed in standard form, is 7.143 × 10^(-3).