How to use scientific notation - PSAT Math

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Express the square of $7 \times $10^{15}$$ in scientific notation.

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Take advantage of the exponent rules.

$\left (7 \times $10^{15}$ \right $)^{2}$$

$= $7^{2}$ \times \left ( $10^{15}$ \right $)^{2}$$

$= 49 \times $10^{15 \times 2}$$

$= 49 \times $10^{30}$$

$= 4.9 \times $10^{1}$ \times $10^{30}$$

$= 4.9 \times $10^{1+30}$$

$= 4.9 \times $10^{31}$$

Express 0.000000076 in scientific notation.

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Write the number:

Counting the number of places, move the decimal point to the right until it is after the first nonzero digit:

The resulting number is 7.6; the number of places the decimal point moved to the right was 8. In scientific notation, this number is $7.6 \times $10^{-8}$$ .

Put the following value in scientific notation:

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Our first value for scientific notation should be between and . We then multiply this value by raised to a power equal to the number of spaces our decimal has moved to the left.

The number is equivalent to which of the following?

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Each of the answers to this question are in scientific notation. To determine the exponent on the 10, see how many places you need to move the decimal over to get from your original number to 2.79.

Because the decimal place moves 5 places, the exponent will be 5, and because the decimal moves to the RIGHT, the exponent is going to be negative.

So the answer to the quesiton is $2.79\cdot $10^{-5}$$

Express the square of $7 \times $10^{15}$$ in scientific notation.

Tap to see back →

Take advantage of the exponent rules.

$\left (7 \times $10^{15}$ \right $)^{2}$$

$= $7^{2}$ \times \left ( $10^{15}$ \right $)^{2}$$

$= 49 \times $10^{15 \times 2}$$

$= 49 \times $10^{30}$$

$= 4.9 \times $10^{1}$ \times $10^{30}$$

$= 4.9 \times $10^{1+30}$$

$= 4.9 \times $10^{31}$$

Express 0.000000076 in scientific notation.

Tap to see back →

Write the number:

Counting the number of places, move the decimal point to the right until it is after the first nonzero digit:

The resulting number is 7.6; the number of places the decimal point moved to the right was 8. In scientific notation, this number is $7.6 \times $10^{-8}$$ .

Put the following value in scientific notation:

Tap to see back →

Our first value for scientific notation should be between and . We then multiply this value by raised to a power equal to the number of spaces our decimal has moved to the left.

The number is equivalent to which of the following?

Tap to see back →

Each of the answers to this question are in scientific notation. To determine the exponent on the 10, see how many places you need to move the decimal over to get from your original number to 2.79.

Because the decimal place moves 5 places, the exponent will be 5, and because the decimal moves to the RIGHT, the exponent is going to be negative.

So the answer to the quesiton is $2.79\cdot $10^{-5}$$

Express the square of $7 \times $10^{15}$$ in scientific notation.

Tap to see back →

Take advantage of the exponent rules.

$\left (7 \times $10^{15}$ \right $)^{2}$$

$= $7^{2}$ \times \left ( $10^{15}$ \right $)^{2}$$

$= 49 \times $10^{15 \times 2}$$

$= 49 \times $10^{30}$$

$= 4.9 \times $10^{1}$ \times $10^{30}$$

$= 4.9 \times $10^{1+30}$$

$= 4.9 \times $10^{31}$$

Express 0.000000076 in scientific notation.

Tap to see back →

Write the number:

Counting the number of places, move the decimal point to the right until it is after the first nonzero digit:

The resulting number is 7.6; the number of places the decimal point moved to the right was 8. In scientific notation, this number is $7.6 \times $10^{-8}$$ .

Put the following value in scientific notation:

Tap to see back →

Our first value for scientific notation should be between and . We then multiply this value by raised to a power equal to the number of spaces our decimal has moved to the left.

The number is equivalent to which of the following?

Tap to see back →

Each of the answers to this question are in scientific notation. To determine the exponent on the 10, see how many places you need to move the decimal over to get from your original number to 2.79.

Because the decimal place moves 5 places, the exponent will be 5, and because the decimal moves to the RIGHT, the exponent is going to be negative.

So the answer to the quesiton is $2.79\cdot $10^{-5}$$

Express the square of $7 \times $10^{15}$$ in scientific notation.

Tap to see back →

Take advantage of the exponent rules.

$\left (7 \times $10^{15}$ \right $)^{2}$$

$= $7^{2}$ \times \left ( $10^{15}$ \right $)^{2}$$

$= 49 \times $10^{15 \times 2}$$

$= 49 \times $10^{30}$$

$= 4.9 \times $10^{1}$ \times $10^{30}$$

$= 4.9 \times $10^{1+30}$$

$= 4.9 \times $10^{31}$$

Express 0.000000076 in scientific notation.

Tap to see back →

Write the number:

Counting the number of places, move the decimal point to the right until it is after the first nonzero digit:

The resulting number is 7.6; the number of places the decimal point moved to the right was 8. In scientific notation, this number is $7.6 \times $10^{-8}$$ .

Put the following value in scientific notation:

Tap to see back →

Our first value for scientific notation should be between and . We then multiply this value by raised to a power equal to the number of spaces our decimal has moved to the left.

The number is equivalent to which of the following?

Tap to see back →

Each of the answers to this question are in scientific notation. To determine the exponent on the 10, see how many places you need to move the decimal over to get from your original number to 2.79.

Because the decimal place moves 5 places, the exponent will be 5, and because the decimal moves to the RIGHT, the exponent is going to be negative.

So the answer to the quesiton is $2.79\cdot $10^{-5}$$

Express the square of $7 \times $10^{15}$$ in scientific notation.

Tap to see back →

Take advantage of the exponent rules.

$\left (7 \times $10^{15}$ \right $)^{2}$$

$= $7^{2}$ \times \left ( $10^{15}$ \right $)^{2}$$

$= 49 \times $10^{15 \times 2}$$

$= 49 \times $10^{30}$$

$= 4.9 \times $10^{1}$ \times $10^{30}$$

$= 4.9 \times $10^{1+30}$$

$= 4.9 \times $10^{31}$$

Express 0.000000076 in scientific notation.

Tap to see back →

Write the number:

Counting the number of places, move the decimal point to the right until it is after the first nonzero digit:

The resulting number is 7.6; the number of places the decimal point moved to the right was 8. In scientific notation, this number is $7.6 \times $10^{-8}$$ .

Put the following value in scientific notation:

Tap to see back →

Our first value for scientific notation should be between and . We then multiply this value by raised to a power equal to the number of spaces our decimal has moved to the left.

The number is equivalent to which of the following?

Tap to see back →

Each of the answers to this question are in scientific notation. To determine the exponent on the 10, see how many places you need to move the decimal over to get from your original number to 2.79.

Because the decimal place moves 5 places, the exponent will be 5, and because the decimal moves to the RIGHT, the exponent is going to be negative.

So the answer to the quesiton is $2.79\cdot $10^{-5}$$

How to use scientific notation - PSAT Math

Express the square of in scientific notation.

Take advantage of the exponent rules.

Express 0.000000076 in scientific notation.

Write the number: Counting the number of places, move the decimal point to the right until it is after the first nonzero digit: The resulting number is 7.6; the number of places the decimal point moved to the right was 8. In scientific notation, this number is .

Put the following value in scientific notation:

Our first value for scientific notation should be between and . We then multiply this value by raised to a power equal to the number of spaces our decimal has moved to the left.

The number is equivalent to which of the following?

Express the square of in scientific notation.

Take advantage of the exponent rules.

Express 0.000000076 in scientific notation.

Write the number: Counting the number of places, move the decimal point to the right until it is after the first nonzero digit: The resulting number is 7.6; the number of places the decimal point moved to the right was 8. In scientific notation, this number is .

Put the following value in scientific notation:

Our first value for scientific notation should be between and . We then multiply this value by raised to a power equal to the number of spaces our decimal has moved to the left.

The number is equivalent to which of the following?

Express the square of in scientific notation.

Take advantage of the exponent rules.

Express 0.000000076 in scientific notation.

Write the number: Counting the number of places, move the decimal point to the right until it is after the first nonzero digit: The resulting number is 7.6; the number of places the decimal point moved to the right was 8. In scientific notation, this number is .

Put the following value in scientific notation:

Our first value for scientific notation should be between and . We then multiply this value by raised to a power equal to the number of spaces our decimal has moved to the left.

The number is equivalent to which of the following?

Express the square of in scientific notation.

Take advantage of the exponent rules.

Express 0.000000076 in scientific notation.

Write the number: Counting the number of places, move the decimal point to the right until it is after the first nonzero digit: The resulting number is 7.6; the number of places the decimal point moved to the right was 8. In scientific notation, this number is .

Put the following value in scientific notation:

Our first value for scientific notation should be between and . We then multiply this value by raised to a power equal to the number of spaces our decimal has moved to the left.

The number is equivalent to which of the following?

Express the square of in scientific notation.

Take advantage of the exponent rules.

Express 0.000000076 in scientific notation.

Write the number: Counting the number of places, move the decimal point to the right until it is after the first nonzero digit: The resulting number is 7.6; the number of places the decimal point moved to the right was 8. In scientific notation, this number is .

Put the following value in scientific notation:

Our first value for scientific notation should be between and . We then multiply this value by raised to a power equal to the number of spaces our decimal has moved to the left.

The number is equivalent to which of the following?

Express the square of $7 \times $10^{15}$$ in scientific notation.

Take advantage of the exponent rules.

$\left (7 \times $10^{15}$ \right $)^{2}$$

$= $7^{2}$ \times \left ( $10^{15}$ \right $)^{2}$$

$= 49 \times $10^{15 \times 2}$$

$= 49 \times $10^{30}$$

$= 4.9 \times $10^{1}$ \times $10^{30}$$

$= 4.9 \times $10^{1+30}$$

$= 4.9 \times $10^{31}$$

Write the number:

Counting the number of places, move the decimal point to the right until it is after the first nonzero digit:

The resulting number is 7.6; the number of places the decimal point moved to the right was 8. In scientific notation, this number is $7.6 \times $10^{-8}$$ .

Express the square of $7 \times $10^{15}$$ in scientific notation.

Take advantage of the exponent rules.

$\left (7 \times $10^{15}$ \right $)^{2}$$

$= $7^{2}$ \times \left ( $10^{15}$ \right $)^{2}$$

$= 49 \times $10^{15 \times 2}$$

$= 49 \times $10^{30}$$

$= 4.9 \times $10^{1}$ \times $10^{30}$$

$= 4.9 \times $10^{1+30}$$

$= 4.9 \times $10^{31}$$

Write the number:

Counting the number of places, move the decimal point to the right until it is after the first nonzero digit:

The resulting number is 7.6; the number of places the decimal point moved to the right was 8. In scientific notation, this number is $7.6 \times $10^{-8}$$ .

Express the square of $7 \times $10^{15}$$ in scientific notation.

Take advantage of the exponent rules.

$\left (7 \times $10^{15}$ \right $)^{2}$$

$= $7^{2}$ \times \left ( $10^{15}$ \right $)^{2}$$

$= 49 \times $10^{15 \times 2}$$

$= 49 \times $10^{30}$$

$= 4.9 \times $10^{1}$ \times $10^{30}$$

$= 4.9 \times $10^{1+30}$$

$= 4.9 \times $10^{31}$$

Write the number:

Counting the number of places, move the decimal point to the right until it is after the first nonzero digit:

The resulting number is 7.6; the number of places the decimal point moved to the right was 8. In scientific notation, this number is $7.6 \times $10^{-8}$$ .

Express the square of $7 \times $10^{15}$$ in scientific notation.

Take advantage of the exponent rules.

$\left (7 \times $10^{15}$ \right $)^{2}$$

$= $7^{2}$ \times \left ( $10^{15}$ \right $)^{2}$$

$= 49 \times $10^{15 \times 2}$$

$= 49 \times $10^{30}$$

$= 4.9 \times $10^{1}$ \times $10^{30}$$

$= 4.9 \times $10^{1+30}$$

$= 4.9 \times $10^{31}$$

Write the number:

Counting the number of places, move the decimal point to the right until it is after the first nonzero digit:

The resulting number is 7.6; the number of places the decimal point moved to the right was 8. In scientific notation, this number is $7.6 \times $10^{-8}$$ .

Express the square of $7 \times $10^{15}$$ in scientific notation.

Take advantage of the exponent rules.

$\left (7 \times $10^{15}$ \right $)^{2}$$

$= $7^{2}$ \times \left ( $10^{15}$ \right $)^{2}$$

$= 49 \times $10^{15 \times 2}$$

$= 49 \times $10^{30}$$

$= 4.9 \times $10^{1}$ \times $10^{30}$$

$= 4.9 \times $10^{1+30}$$

$= 4.9 \times $10^{31}$$

Write the number:

Counting the number of places, move the decimal point to the right until it is after the first nonzero digit:

The resulting number is 7.6; the number of places the decimal point moved to the right was 8. In scientific notation, this number is $7.6 \times $10^{-8}$$ .