QuestionConvert the number 0.00037 into scientific notation.

Studdy Solution

STEP 1

Assumptions1. The number given is0.00037. We need to express this number in scientific notation

STEP 2

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is commonly used by scientists, mathematicians, and engineers. The format for writing a number in scientific notation is $a \\times10^n$ where $1 \leq |a| <10$ and $n$ is an integer.

STEP 3

To convert0.00037 into scientific notation, we need to move the decimal point 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 exponent on the10 in the scientific notation.

STEP 5

Since we are moving the decimal to the right, the exponent will be negative. If we were moving the decimal to the left (for numbers greater than10), the exponent would be positive.

STEP 6

Move the decimal point in0.00037 four places to the right to get3..

STEP 7

The number of places we moved the decimal point is4, so the exponent on the10 is -4.

STEP 8

Write the number in scientific notation as $3.7 \\times10^{-4}$ So,0.00037 in scientific notation is $3.7 \\times10^{-4}$ .

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QuestionConvert the number 0.00037 into scientific notation.

Studdy Solution

STEP 1

Assumptions1. The number given is0.00037. We need to express this number in scientific notation

STEP 2

STEP 3

To convert0.00037 into scientific notation, we need to move the decimal point 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 exponent on the10 in the scientific notation.

STEP 5

Since we are moving the decimal to the right, the exponent will be negative. If we were moving the decimal to the left (for numbers greater than10), the exponent would be positive.

STEP 6

Move the decimal point in0.00037 four places to the right to get3..

STEP 7

The number of places we moved the decimal point is4, so the exponent on the10 is -4.

STEP 8

Write the number in scientific notation as $3.7 \\times10^{-4}$ So,0.00037 in scientific notation is $3.7 \\times10^{-4}$ .

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QuestionConvert the number 0.00037 into scientific notation.

Studdy Solution

STEP 1

Assumptions1. The number given is0.00037. We need to express this number in scientific notation

STEP 2

STEP 3

To convert0.00037 into scientific notation, we need to move the decimal point 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 exponent on the10 in the scientific notation.

STEP 5

Since we are moving the decimal to the right, the exponent will be negative. If we were moving the decimal to the left (for numbers greater than10), the exponent would be positive.

STEP 6

Move the decimal point in0.00037 four places to the right to get3..

STEP 7

The number of places we moved the decimal point is4, so the exponent on the10 is -4.

STEP 8

Write the number in scientific notation as3.7times10−43.7 \\times10^{-4}3.7times10−4So,0.00037 in scientific notation is 3.7times10−43.7 \\times10^{-4}3.7times10−4.

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Write the number in scientific notation as $3.7 \\times10^{-4}$ So,0.00037 in scientific notation is $3.7 \\times10^{-4}$ .