Math / Numbers & Operations

Questionsclentific notation. $9,600,000,000=$

Studdy Solution

STEP 1

What is this asking? We need to rewrite the large number 9,600,000,000 in scientific notation. Watch out! Remember, scientific notation has a specific format!
It's a number between 1 and 10 multiplied by a power of 10.

STEP 2

1. Move the Decimal
2. Determine the Exponent
3. Write in Scientific Notation

STEP 3

Let's move the decimal point to the left until we get a number between 1 and 10.
Our starting number is $9,600,000,000$ .

STEP 4

Moving the decimal point one place to the left gives us $960,000,000.0$ .
Still too big!

STEP 5

Keep going!
Moving it nine places to the left gives us $9.6$ .
Perfect! This is between 1 and 10.

STEP 6

Now, let's figure out the exponent for our 10.
Since we moved the decimal nine places to the left, our exponent will be positive nine.

STEP 7

Combine the number we got ( $9.6$ ) and the power of 10 ( $10^9$ ) to write the number in scientific notation.

STEP 8

$9,600,000,000 = 9.6 \cdot 10^9$

STEP 9

The number $9,600,000,000$ written in scientific notation is $9.6 \cdot 10^9$ .

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Questionsclentific notation. $9,600,000,000=$

Studdy Solution

STEP 1

What is this asking? We need to rewrite the large number 9,600,000,000 in scientific notation. Watch out! Remember, scientific notation has a specific format!
It's a number between 1 and 10 multiplied by a power of 10.

STEP 2

1. Move the Decimal
2. Determine the Exponent
3. Write in Scientific Notation

STEP 3

Let's move the decimal point to the left until we get a number between 1 and 10.
Our starting number is $9,600,000,000$ .

STEP 4

Moving the decimal point one place to the left gives us $960,000,000.0$ .
Still too big!

STEP 5

Keep going!
Moving it nine places to the left gives us $9.6$ .
Perfect! This is between 1 and 10.

STEP 6

Now, let's figure out the exponent for our 10.
Since we moved the decimal nine places to the left, our exponent will be positive nine.

STEP 7

Combine the number we got ( $9.6$ ) and the power of 10 ( $10^9$ ) to write the number in scientific notation.

STEP 8

$9,600,000,000 = 9.6 \cdot 10^9$

STEP 9

The number $9,600,000,000$ written in scientific notation is $9.6 \cdot 10^9$ .

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Questionsclentific notation. 9,600,000,000=9,600,000,000=9,600,000,000=

Studdy Solution

STEP 1

What is this asking? We need to rewrite the large number 9,600,000,000 in scientific notation. Watch out! Remember, scientific notation has a specific format!It's a number between 1 and 10 multiplied by a power of 10.

STEP 2

1. Move the Decimal2. Determine the Exponent3. Write in Scientific Notation

STEP 3

Let's **move the decimal point** to the **left** until we get a number between 1 and 10.Our **starting number** is 9,600,000,0009,600,000,0009,600,000,000.

STEP 4

Moving the decimal point **one place** to the left gives us 960,000,000.0960,000,000.0960,000,000.0.Still too big!

STEP 5

Keep going!Moving it **nine** places to the left gives us 9.69.69.6.Perfect! This is between 1 and 10.

STEP 6

Now, let's figure out the **exponent** for our 10.Since we moved the decimal **nine** places to the **left**, our exponent will be **positive nine**.

STEP 7

Combine the number we got (9.69.69.6) and the power of 10 (10910^9109) to write the number in scientific notation.

STEP 8

9,600,000,000=9.6⋅1099,600,000,000 = 9.6 \cdot 10^99,600,000,000=9.6⋅109

STEP 9

The number 9,600,000,0009,600,000,0009,600,000,000 written in scientific notation is 9.6⋅1099.6 \cdot 10^99.6⋅109.

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Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Questionsclentific notation. $9,600,000,000=$

What is this asking? We need to rewrite the large number 9,600,000,000 in scientific notation. Watch out! Remember, scientific notation has a specific format!
It's a number between 1 and 10 multiplied by a power of 10.

1. Move the Decimal
2. Determine the Exponent
3. Write in Scientific Notation

Let's move the decimal point to the left until we get a number between 1 and 10.
Our starting number is $9,600,000,000$ .

Moving the decimal point one place to the left gives us $960,000,000.0$ .
Still too big!

Keep going!
Moving it nine places to the left gives us $9.6$ .
Perfect! This is between 1 and 10.

Now, let's figure out the exponent for our 10.
Since we moved the decimal nine places to the left, our exponent will be positive nine.

Combine the number we got ( $9.6$ ) and the power of 10 ( $10^9$ ) to write the number in scientific notation.

$9,600,000,000 = 9.6 \cdot 10^9$

The number $9,600,000,000$ written in scientific notation is $9.6 \cdot 10^9$ .