Problem

Question 4

Simplify the expansion.
\[
\left(5 \cdot 10^{2}\right)+\left(7 \cdot 10^{1}\right)+\left(2 \cdot 10^{9}\right)
\]
570
5720
572
5072

Answer

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Answer

Thus, the simplified form of the given expression is \(\boxed{2000000570}\)

Steps

Step 1 :The given expression is \( \left(5 \cdot 10^{2}\right)+\left(7 \cdot 10^{1}\right)+\left(2 \cdot 10^{9}\right) \)

Step 2 :According to the order of operations (PEMDAS/BODMAS), the multiplication operation should be performed first, and then the addition operation.

Step 3 :Performing the multiplication, we get \( 500 + 70 + 2000000000 \)

Step 4 :Adding these values together, we get 2000000570

Step 5 :Thus, the simplified form of the given expression is \(\boxed{2000000570}\)

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