Question

1. when i subtract two numbers in scientific notation i coefficients and select

$(6.2 \times 10^2) - (2.6 \times 10^3)$
select my

Explanation:

Step1: Convert to same exponent

Convert \(2.6 \times 10^3\) to \(26 \times 10^2\) (since \(10^3 = 10\times10^2\), so \(2.6\times10\times10^2 = 26\times10^2\)).

Step2: Subtract the coefficients

Now subtract \((6.2\times 10^2)-(26\times 10^2)=(6.2 - 26)\times10^2\). Calculate \(6.2-26=-19.8\).

Step3: Adjust to scientific notation

\(-19.8\times10^2=-1.98\times10^3\) (move decimal one place left, increase exponent by 1).

Answer:

\(-1.98 \times 10^3\) (or equivalent correct form after subtraction in scientific notation)