Math / Numbers & Operations

QuestionWrite 0.0000823 in scientific notation.

Studdy Solution

STEP 1

What is this asking? Rewrite this super-small decimal as a product of a number between 1 and 10 and a power of 10! Watch out! Don't move the decimal in the wrong direction!
A small number needs a negative power of 10.

STEP 2

1. Move that decimal!
2. Write in scientific notation.

STEP 3

Alright, let's move that decimal point in $0.0000823$ to the right until we get a number between 1 and 10.
Let's do it!

STEP 4

One hop, $00.000823$ .
Two hops, $000.00823$ .
Three hops, $0000.0823$ .
Four hops, $00000.823$ .
Five hops, and BOOM!
We have $8.23$ , which is between 1 and 10.
We moved the decimal five places to the right.

STEP 5

Since we moved the decimal five places to the right to get $8.23$ , we use $10$ raised to the power of negative five.
Remember, moving right means a negative exponent.

STEP 6

So, our scientific notation is $8.23 \cdot 10^{-5}$ .
Nailed it!

STEP 7

$8.23 \cdot 10^{-5}$

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QuestionWrite 0.0000823 in scientific notation.

Studdy Solution

STEP 1

What is this asking? Rewrite this super-small decimal as a product of a number between 1 and 10 and a power of 10! Watch out! Don't move the decimal in the wrong direction!
A small number needs a negative power of 10.

STEP 2

1. Move that decimal!
2. Write in scientific notation.

STEP 3

Alright, let's move that decimal point in $0.0000823$ to the right until we get a number between 1 and 10.
Let's do it!

STEP 4

One hop, $00.000823$ .
Two hops, $000.00823$ .
Three hops, $0000.0823$ .
Four hops, $00000.823$ .
Five hops, and BOOM!
We have $8.23$ , which is between 1 and 10.
We moved the decimal five places to the right.

STEP 5

Since we moved the decimal five places to the right to get $8.23$ , we use $10$ raised to the power of negative five.
Remember, moving right means a negative exponent.

STEP 6

So, our scientific notation is $8.23 \cdot 10^{-5}$ .
Nailed it!

STEP 7

$8.23 \cdot 10^{-5}$

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QuestionWrite 0.0000823 in scientific notation.

Studdy Solution

STEP 1

What is this asking? Rewrite this super-small decimal as a product of a number between 1 and 10 and a power of 10! Watch out! Don't move the decimal in the wrong direction!A small number needs a *negative* power of 10.

STEP 2

1. Move that decimal!2. Write in scientific notation.

STEP 3

Alright, let's **move** that decimal point in 0.00008230.00008230.0000823 to the *right* until we get a number between 1 and 10.Let's do it!

STEP 4

One hop, 00.00082300.00082300.000823.Two hops, 000.00823000.00823000.00823.Three hops, 0000.08230000.08230000.0823.Four hops, 00000.82300000.82300000.823.Five hops, and BOOM!We have 8.238.238.23, which is between 1 and 10.We moved the decimal **five** places to the *right*.

STEP 5

Since we moved the decimal **five** places to the *right* to get 8.238.238.23, we use 101010 raised to the power of **negative five**.Remember, moving right means a *negative* exponent.

STEP 6

So, our **scientific notation** is 8.23⋅10−58.23 \cdot 10^{-5}8.23⋅10−5.Nailed it!

STEP 7

8.23⋅10−58.23 \cdot 10^{-5}8.23⋅10−5

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Studdy solves anything!

Start learning now

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

What is this asking? Rewrite this super-small decimal as a product of a number between 1 and 10 and a power of 10! Watch out! Don't move the decimal in the wrong direction!
A small number needs a negative power of 10.

1. Move that decimal!
2. Write in scientific notation.

Alright, let's move that decimal point in $0.0000823$ to the right until we get a number between 1 and 10.
Let's do it!

One hop, $00.000823$ .
Two hops, $000.00823$ .
Three hops, $0000.0823$ .
Four hops, $00000.823$ .
Five hops, and BOOM!
We have $8.23$ , which is between 1 and 10.
We moved the decimal five places to the right.

Since we moved the decimal five places to the right to get $8.23$ , we use $10$ raised to the power of negative five.
Remember, moving right means a negative exponent.

So, our scientific notation is $8.23 \cdot 10^{-5}$ .
Nailed it!

$8.23 \cdot 10^{-5}$