What is the scientific notation of (1.4x10¹)(8x10⁴) ?
(1.4x10¹) = 14 and (8x10⁴) = 80000
(1.4x10¹)(8x10⁴) = 14 x 80000
= 1.12x10⁶
Therefore, the scientific notation of (1.4x10¹)(8x10⁴) is 1.12x10⁶.
(1.4 * 8) * 10^(1+4) = 11.2 *10^5 = 1.12 * 10^6
That's correct! This is another way to simplify and calculate the expression. The final answer is still 1.12x10⁶ in scientific notation.
To find the scientific notation of the expression (1.4x10¹)(8x10⁴), we need to multiply the two numbers together and express the result in scientific notation.
Step 1: Multiply the coefficients:
1.4 * 8 = 11.2
Step 2: Multiply the exponents:
10¹ * 10⁴ = 10⁵ (add the exponents)
Step 3: Combine the result from Step 1 and Step 2:
11.2 x 10⁵
Step 4: Express the number 11.2 as a decimal between 1 and 10:
11.2 = 1.12 x 10 (shift the decimal one place to the left)
Step 5: Combine the decimal from Step 4 with the exponent from Step 3:
1.12 x 10 x 10⁵
Step 6: Multiply the coefficients from Step 4 and Step 5:
1.12 * 10 = 11.2
Step 7: Multiply the exponents from Step 4 and Step 5:
10⁵
Step 8: Combine the result from Step 6 and Step 7:
11.2 x 10⁵
Therefore, the scientific notation of (1.4x10¹)(8x10⁴) is 11.2 x 10⁵.