QuestionConvert 0.000053 to scientific notation.

Studdy Solution

STEP 1

Assumptions1. The number we are converting is0.000053. We want to express this number in scientific notation3. Scientific notation is a way of expressing numbers that are too big or too small to be conveniently written in decimal form. It is commonly used in mathematics and science because it can simplify certain arithmetic operations.

STEP 2

To express a number in scientific notation, it must be in the form of $a \\times10^n$ where $1 \\leq |a| <10$ and $n$ is an integer.

STEP 3

We can start by moving the decimal point in the number0.000053 to the right until we have a number between1 and10.

STEP 4

Count the number of places you moved the decimal. This will be the value of $n$ in our scientific notation. If you moved the decimal to the right, $n$ will be negative. If you moved it to the left, $n$ will be positive.

STEP 5

After moving the decimal point5 places to the right, we get5.3. So, $a =5.3$ and $n = -5$ .

STEP 6

Now we can write the number0.000053 in scientific notation as $a \\times10^n$ .

STEP 7

Plug in the values for $a$ and $n$ to write the number in scientific notation.
$0.000053 =5.3 \\times10^{-5}$ The number0.000053 in scientific notation is $5.3 \\times10^{-5}$ .

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QuestionConvert 0.000053 to scientific notation.

Studdy Solution

STEP 1

STEP 2

To express a number in scientific notation, it must be in the form of $a \\times10^n$ where $1 \\leq |a| <10$ and $n$ is an integer.

STEP 3

We can start by moving the decimal point in the number0.000053 to the right until we have a number between1 and10.

STEP 4

Count the number of places you moved the decimal. This will be the value of $n$ in our scientific notation. If you moved the decimal to the right, $n$ will be negative. If you moved it to the left, $n$ will be positive.

STEP 5

After moving the decimal point5 places to the right, we get5.3. So, $a =5.3$ and $n = -5$ .

STEP 6

Now we can write the number0.000053 in scientific notation as $a \\times10^n$ .

STEP 7

Plug in the values for $a$ and $n$ to write the number in scientific notation.
$0.000053 =5.3 \\times10^{-5}$ The number0.000053 in scientific notation is $5.3 \\times10^{-5}$ .

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QuestionConvert 0.000053 to scientific notation.

Studdy Solution

STEP 1

STEP 2

To express a number in scientific notation, it must be in the form of atimes10na \\times10^natimes10n where 1leq∣a∣<101 \\leq |a| <101leq∣a∣<10 and nnn is an integer.

STEP 3

We can start by moving the decimal point in the number0.000053 to the right until we have a number between1 and10.

STEP 4

Count the number of places you moved the decimal. This will be the value of nnn in our scientific notation. If you moved the decimal to the right, nnn will be negative. If you moved it to the left, nnn will be positive.

STEP 5

After moving the decimal point5 places to the right, we get5.3. So, a=5.3a =5.3a=5.3 and n=−5n = -5n=−5.

STEP 6

Now we can write the number0.000053 in scientific notation as atimes10na \\times10^natimes10n.

STEP 7

Plug in the values for aaa and nnn to write the number in scientific notation.0.000053=5.3times10−50.000053 =5.3 \\times10^{-5}0.000053=5.3times10−5The number0.000053 in scientific notation is 5.3times10−55.3 \\times10^{-5}5.3times10−5.

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To express a number in scientific notation, it must be in the form of $a \\times10^n$ where $1 \\leq |a| <10$ and $n$ is an integer.

Count the number of places you moved the decimal. This will be the value of $n$ in our scientific notation. If you moved the decimal to the right, $n$ will be negative. If you moved it to the left, $n$ will be positive.

After moving the decimal point5 places to the right, we get5.3. So, $a =5.3$ and $n = -5$ .

Now we can write the number0.000053 in scientific notation as $a \\times10^n$ .

Plug in the values for $a$ and $n$ to write the number in scientific notation.
$0.000053 =5.3 \\times10^{-5}$ The number0.000053 in scientific notation is $5.3 \\times10^{-5}$ .