Question

7×10⁴ + 2×10⁴ = 9
5×10⁶ - 3×10⁶ =

Explanation:

First Problem ($7\times10^{4}+2\times10^{4}$):

Step1: Factor out \(10^{4}\)

Using the distributive property \(a\times c + b\times c=(a + b)\times c\), here \(a = 7\), \(b = 2\), \(c = 10^{4}\), so we get \((7 + 2)\times10^{4}\).

Step2: Calculate the sum inside the parentheses

\(7+2 = 9\), so the expression becomes \(9\times10^{4}\).

Step1: Factor out \(10^{6}\)

Using the distributive property \(a\times c - b\times c=(a - b)\times c\), here \(a = 5\), \(b = 3\), \(c = 10^{6}\), so we get \((5 - 3)\times10^{6}\).

Step2: Calculate the difference inside the parentheses

\(5 - 3 = 2\), so the expression becomes \(2\times10^{6}\).

Answer:

\(9\times10^{4}\) (or 90000)

Second Problem ($5\times10^{6}-3\times10^{6}$):