Question

What decimal is represented by this expanded form? 2 x 10,000 + 7 x 1,000 + 4 x 100 + 9 x 1 + 3 x 1/10 + 8 x 1/1,000

Answer 1

Okay, let's take this one step at a time. According to the Order of Operations Theorem, you must find all the products before you add all the terms together.

$2 (10,000)=20,000$

$7 (1,000)=7,000$

$4 (100)=400$

$9(1)=9$

$3 (1/10)=0.3$

$8(1/1,000)=0.008$

Now, let's add those numbers together.

$20,000+7,000+400+9+0.3+0.008=27,409.308$

Answer: $27,409.308$

hope this helps!