Question

question 2
subtract. what is the difference $(9 \times 10^{10}) - (4 \times 10^{10})$ in scientific notation?
$(9 \times 10^{10}) - (4 \times 10^{10}) = \boxed{?} \times 10^{\boxed{?}}$

Explanation:

Step1: Factor out \(10^{10}\)

We can use the distributive property \(ac - bc=(a - b)c\). Here, \(a = 9\), \(b = 4\), and \(c = 10^{10}\). So, \((9\times10^{10})-(4\times10^{10})=(9 - 4)\times10^{10}\).

Step2: Subtract the coefficients

Calculate \(9-4\). \(9 - 4=5\).

Step3: Write the result in scientific notation

Substituting back, we get \(5\times10^{10}\).

Answer:

The first box is \(5\) and the second box is \(10\), so the result is \(5\times10^{10}\).