QuestionConvert the number $5.51 \times 10^{-4}$ to decimal notation.

Studdy Solution

STEP 1

Assumptions1. The given number is in scientific notation, which is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. . The number to be expressed in decimal notation is $5.51 \times10^{-4}$ .

STEP 2

Understand that in scientific notation, the exponent of10 indicates how many places to move the decimal point. If the exponent is negative, we move the decimal point to the left. If the exponent is positive, we move the decimal point to the right.

STEP 3

In this case, the exponent of10 is -, which means we need to move the decimal point in $5.51$ four places to the left.

STEP 4

Start by writing out the number $.51$ and then move the decimal point four places to the left.

STEP 5

When moving the decimal point, if there are not enough numbers to the left, we add zeros. In this case, after moving the decimal point two places to the left, we reach the beginning of the number. So, we need to add two zeros.

STEP 6

After moving the decimal point four places to the left and adding two zeros, we get the decimal notation of the number.
$5.51 \times10^{-4} =0.000551$ The number $5.51 \times10^{-4}$ expressed in decimal notation is $0.000551$ .

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QuestionConvert the number $5.51 \times 10^{-4}$ to decimal notation.

Studdy Solution

STEP 1

Assumptions1. The given number is in scientific notation, which is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. . The number to be expressed in decimal notation is $5.51 \times10^{-4}$ .

STEP 2

Understand that in scientific notation, the exponent of10 indicates how many places to move the decimal point. If the exponent is negative, we move the decimal point to the left. If the exponent is positive, we move the decimal point to the right.

STEP 3

In this case, the exponent of10 is -, which means we need to move the decimal point in $5.51$ four places to the left.

STEP 4

Start by writing out the number $.51$ and then move the decimal point four places to the left.

STEP 5

When moving the decimal point, if there are not enough numbers to the left, we add zeros. In this case, after moving the decimal point two places to the left, we reach the beginning of the number. So, we need to add two zeros.

STEP 6

After moving the decimal point four places to the left and adding two zeros, we get the decimal notation of the number.
$5.51 \times10^{-4} =0.000551$ The number $5.51 \times10^{-4}$ expressed in decimal notation is $0.000551$ .

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QuestionConvert the number 5.51×10−45.51 \times 10^{-4}5.51×10−4 to decimal notation.

Studdy Solution

STEP 1

Assumptions1. The given number is in scientific notation, which is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. . The number to be expressed in decimal notation is 5.51×10−45.51 \times10^{-4}5.51×10−4.

STEP 2

Understand that in scientific notation, the exponent of10 indicates how many places to move the decimal point. If the exponent is negative, we move the decimal point to the left. If the exponent is positive, we move the decimal point to the right.

STEP 3

In this case, the exponent of10 is -, which means we need to move the decimal point in 5.515.515.51 four places to the left.

STEP 4

Start by writing out the number .51.51.51 and then move the decimal point four places to the left.

STEP 5

When moving the decimal point, if there are not enough numbers to the left, we add zeros. In this case, after moving the decimal point two places to the left, we reach the beginning of the number. So, we need to add two zeros.

STEP 6

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QuestionConvert the number $5.51 \times 10^{-4}$ to decimal notation.

Assumptions1. The given number is in scientific notation, which is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. . The number to be expressed in decimal notation is $5.51 \times10^{-4}$ .

In this case, the exponent of10 is -, which means we need to move the decimal point in $5.51$ four places to the left.

Start by writing out the number $.51$ and then move the decimal point four places to the left.