Question

Write the expanded form od 8,374 using the exponential notation.

Answer 1

Expanded for of 8,374 is:

8000 + 300 + 70 + 4

And writing it with the exponential notation would look like this (for example):

8 * 10^3 + 3 * 10^2 + 0.7 * 10^2 + 0,04 * 10^2

Hopefully that's what you meant :)

Answer 2

`8 \cdot 10^3 + 3 \cdot 10^2 + 7 \cdot 10^1 +4`

Explanation:

write the expanded form of 8,374 using the exponential notation.

First we write the expanded form of each digit

8 is in thousands place , 8 times 1000

3 is in hundreds place , 3 times 100

7 is in tens place , 7 times 10

4 is in once place, 4

8,374 can be written as

`8 \cdot 1000 + 3 \cdot 100 + 7 \cdot 10 +4`

1000 can be written as 10^3

100 can be written as 10^2

10 is 10^1

So the expanded form becomes

`8 \cdot 10^3 + 3 \cdot 10^2 + 7 \cdot 10^1 +4`