Math  /  Numbers & Operations

QuestionRewrite the number In standard notation. 9.999×106=9.999 \times 10^{6}=

Studdy Solution

STEP 1

What is this asking? We need to rewrite a number from scientific notation to standard notation. Watch out! Make sure you move the decimal point the correct number of places and in the right direction!

STEP 2

1. Understand Scientific Notation
2. Move the Decimal

STEP 3

Alright, so we've got this number 9.999×1069.999 \times 10^{6}.
Scientific notation is a super compact way to write really big or really small numbers!
It's like a secret code for mathematicians.

STEP 4

The first part, 9.9999.999, is called the **coefficient**.
It's always a number between 1 and 10 (or sometimes exactly 1 or 10).

STEP 5

The second part, 10610^{6}, tells us how much bigger we need to make our **coefficient**.
The little number up top, the **exponent**, tells us how many places to move the decimal point.

STEP 6

Our **exponent** is **6**, and it's *positive*.
That means we're going to make our number *bigger* by moving the decimal point **6** places to the *right*.

STEP 7

Let's do it!
Start with 9.9999.999.
Move the decimal one place to the right: 99.9999.99.
Two places: 999.9999.9.
Keep going!
Three places: 99999999.
Four places: 9999099990.
Five places: 999900999900.
Six places: 99990009999000.
Woohoo!

STEP 8

9.999×106=9,999,0009.999 \times 10^{6} = 9,999,000

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