Question

1. when i multiply two numbers in scientific notation i coefficients and \\( (2.2 \times 10^2) \times (2.8 \times 10^{-2}) \\)

Explanation:

Step1: Multiply the coefficients

Multiply \( 2.2 \) and \( 2.8 \). So, \( 2.2\times2.8 = 6.16 \).

Step2: Multiply the powers of 10

Use the rule \( 10^a\times10^b = 10^{a + b} \). Here, \( a = 2 \) and \( b=- 2 \), so \( 10^{2}\times10^{-2}=10^{2+( - 2)}=10^{0}=1 \).

Step3: Combine the results

Multiply the results from Step 1 and Step 2: \( 6.16\times1 = 6.16 \).

Answer:

\( 6.16 \)