How to use scientific notation - PSAT Math

Card 0 of 28

Question

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

Answer

Take advantage of the exponent rules.

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

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

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

$= 49 \times 10^{30}$

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

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

$= 4.9 \times 10^{31}$

Compare your answer with the correct one above

Question

Express 0.000000076 in scientific notation.

Answer

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 $7.6 \times 10^{-8}$ .

Compare your answer with the correct one above

Question

Put the following value in scientific notation:

Answer

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.

Compare your answer with the correct one above

Question

The number is equivalent to which of the following?

Answer

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 $2.79\cdot 10^{-5}$

Compare your answer with the correct one above

Question

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

Answer

Take advantage of the exponent rules.

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

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

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

$= 49 \times 10^{30}$

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

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

$= 4.9 \times 10^{31}$

Compare your answer with the correct one above

Question

Express 0.000000076 in scientific notation.

Answer

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 $7.6 \times 10^{-8}$ .

Compare your answer with the correct one above

Question

Put the following value in scientific notation:

Answer

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.

Compare your answer with the correct one above

Question

The number is equivalent to which of the following?

Answer

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 $2.79\cdot 10^{-5}$

Compare your answer with the correct one above

Question

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

Answer

Take advantage of the exponent rules.

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

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

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

$= 49 \times 10^{30}$

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

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

$= 4.9 \times 10^{31}$

Compare your answer with the correct one above

Question

Express 0.000000076 in scientific notation.

Answer

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 $7.6 \times 10^{-8}$ .

Compare your answer with the correct one above

Question

Put the following value in scientific notation:

Answer

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.

Compare your answer with the correct one above

Question

The number is equivalent to which of the following?

Answer

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 $2.79\cdot 10^{-5}$

Compare your answer with the correct one above

Question

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

Answer

Take advantage of the exponent rules.

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

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

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

$= 49 \times 10^{30}$

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

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

$= 4.9 \times 10^{31}$

Compare your answer with the correct one above

Question

Express 0.000000076 in scientific notation.

Answer

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 $7.6 \times 10^{-8}$ .

Compare your answer with the correct one above

Question

Put the following value in scientific notation:

Answer

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.

Compare your answer with the correct one above

Question

The number is equivalent to which of the following?

Answer

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 $2.79\cdot 10^{-5}$

Compare your answer with the correct one above

Question

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

Answer

Take advantage of the exponent rules.

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

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

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

$= 49 \times 10^{30}$

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

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

$= 4.9 \times 10^{31}$

Compare your answer with the correct one above

Question

Express 0.000000076 in scientific notation.

Answer

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 $7.6 \times 10^{-8}$ .

Compare your answer with the correct one above

Question

Put the following value in scientific notation:

Answer

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.

Compare your answer with the correct one above

Question

The number is equivalent to which of the following?

Answer

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 $2.79\cdot 10^{-5}$

Compare your answer with the correct one above

Tap the card to reveal the answer

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 $7.6 \times 10^{-8}$ .