QuestionCalculate the value of $8.67 \times 10^{-2}$ .

Studdy Solution

STEP 1

Assumptions1. We are given a number in scientific notation $8.67 \times10^{-}$ . We need to convert this number from scientific notation to standard notation.

STEP 2

The general form of a number in scientific notation is $a \times10^n$ , where $1 \leq |a| <10$ and $n$ is an integer. In this case, $a =8.67$ and $n = -2$ .

STEP 3

To convert a number from scientific notation to standard notation, we move the decimal point in $a$ to the right if $n$ is positive, and to the left if $n$ is negative. The number of places we move the decimal point is equal to the absolute value of $n$ .

STEP 4

Since $n = -2$ in this case, we move the decimal point in $8.67$ two places to the left.

STEP 5

Moving the decimal point two places to the left in $8.67$ gives us $0.0867$ .
So, $8.67 \times10^{-2} =0.0867$ .

Was this helpful?

QuestionCalculate the value of $8.67 \times 10^{-2}$ .

Studdy Solution

STEP 1

Assumptions1. We are given a number in scientific notation $8.67 \times10^{-}$ . We need to convert this number from scientific notation to standard notation.

STEP 2

The general form of a number in scientific notation is $a \times10^n$ , where $1 \leq |a| <10$ and $n$ is an integer. In this case, $a =8.67$ and $n = -2$ .

STEP 3

To convert a number from scientific notation to standard notation, we move the decimal point in $a$ to the right if $n$ is positive, and to the left if $n$ is negative. The number of places we move the decimal point is equal to the absolute value of $n$ .

STEP 4

Since $n = -2$ in this case, we move the decimal point in $8.67$ two places to the left.

STEP 5

Moving the decimal point two places to the left in $8.67$ gives us $0.0867$ .
So, $8.67 \times10^{-2} =0.0867$ .

Get Studdy

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.

QuestionCalculate the value of 8.67×10−28.67 \times 10^{-2}8.67×10−2.

Studdy Solution

STEP 1

Assumptions1. We are given a number in scientific notation 8.67×10−8.67 \times10^{-}8.67×10− . We need to convert this number from scientific notation to standard notation.

STEP 2

The general form of a number in scientific notation is a×10na \times10^na×10n, where 1≤∣a∣<101 \leq |a| <101≤∣a∣<10 and nnn is an integer. In this case, a=8.67a =8.67a=8.67 and n=−2n = -2n=−2.

STEP 3

To convert a number from scientific notation to standard notation, we move the decimal point in aaa to the right if nnn is positive, and to the left if nnn is negative. The number of places we move the decimal point is equal to the absolute value of nnn.

STEP 4

Since n=−2n = -2n=−2 in this case, we move the decimal point in 8.678.678.67 two places to the left.

STEP 5

Moving the decimal point two places to the left in 8.678.678.67 gives us 0.08670.08670.0867.So, 8.67×10−2=0.08678.67 \times10^{-2} =0.08678.67×10−2=0.0867.

Get Studdy

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.

QuestionCalculate the value of $8.67 \times 10^{-2}$ .

Assumptions1. We are given a number in scientific notation $8.67 \times10^{-}$ . We need to convert this number from scientific notation to standard notation.

The general form of a number in scientific notation is $a \times10^n$ , where $1 \leq |a| <10$ and $n$ is an integer. In this case, $a =8.67$ and $n = -2$ .

To convert a number from scientific notation to standard notation, we move the decimal point in $a$ to the right if $n$ is positive, and to the left if $n$ is negative. The number of places we move the decimal point is equal to the absolute value of $n$ .

Since $n = -2$ in this case, we move the decimal point in $8.67$ two places to the left.

Moving the decimal point two places to the left in $8.67$ gives us $0.0867$ .
So, $8.67 \times10^{-2} =0.0867$ .