SAT Math : Arithmetic

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #4 : How To Convert Decimals To Scientific Notation

Convert the decimal into scientific notation:

Possible Answers:

Correct answer:

Explanation:

To convert a decimal into scientific notation, move the decimal point until you get to the left of the first non-zero integer. The number of places the decimal point moves is the power of the exponent, because each movement represents a "power of 10". The exponent will be positive if the original number is greater than zero, and negative if the original number is less than zero.

For this example, move the decimal point four places to the right. Since the number is less than zero, the exponent is negative:

Example Question #1 : How To Convert Decimals To Scientific Notation

Convert the decimal into scientific notation:

Possible Answers:

Correct answer:

Explanation:

To convert a decimal into scientific notation, move the decimal point until you get to the left of the first non-zero integer. The number of places the decimal point moves is the power of the exponent, because each movement represents a "power of 10". The exponent will be positive if the original number is greater than zero, and negative if the original number is less than zero.

For this example, move the decimal point seven places to the right. Since the number is less than zero, the exponent is negative:

Example Question #4 : How To Convert Decimals To Scientific Notation

Convert the decimal into scientific notation:

Possible Answers:

Correct answer:

Explanation:

To convert a decimal into scientific notation, move the decimal point until you get to the left of the first non-zero integer. The number of places the decimal point moves is the power of the exponent, because each movement represents a "power of 10". The exponent will be positive if the original number is greater than zero, and negative if the original number is less than zero.

For this example, move the decimal point nine places to the right. Since the number is less than zero, the exponent is negative:

Example Question #3 : How To Convert Decimals To Scientific Notation

Convert the decimal into scientific notation:

Possible Answers:

Correct answer:

Explanation:

To convert a decimal into scientific notation, move the decimal point until you get to the left of the first non-zero integer. The number of places the decimal point moves is the power of the exponent, because each movement represents a "power of 10". The exponent will be positive if the original number is greater than zero, and negative if the original number is less than zero.

For this example, move the decimal point five places to the right. Since the number is less than zero, the exponent is negative:

Example Question #11 : How To Convert Decimals To Scientific Notation

Convert the decimal into scientific notation:

Possible Answers:

Correct answer:

Explanation:

To convert a decimal into scientific notation, move the decimal point until you get to the left of the first non-zero integer. The number of places the decimal point moves is the power of the exponent, because each movement represents a "power of 10". The exponent will be positive if the original number is greater than zero, and negative if the original number is less than zero.

For this example, move the decimal point six places to the right. Since the number is less than zero, the exponent is negative:

Example Question #12 : How To Convert Decimals To Scientific Notation

Convert the decimal into scientific notation:

Possible Answers:

Correct answer:

Explanation:

To convert a decimal into scientific notation, move the decimal point until you get to the left of the first non-zero integer. The number of places the decimal point moves is the power of the exponent, because each movement represents a "power of 10". The exponent will be positive if the original number is greater than zero, and negative if the original number is less than zero.

For this example, move the decimal point two places to the right. Since the number is less than zero, the exponent is negative:

Example Question #11 : How To Convert Decimals To Scientific Notation

Convert the decimal into scientific notation:

Possible Answers:

Correct answer:

Explanation:

To convert a decimal into scientific notation, move the decimal point until you get to the left of the first non-zero integer. The number of places the decimal point moves is the power of the exponent, because each movement represents a "power of 10". The exponent will be positive if the original number is greater than zero, and negative if the original number is less than zero.

For this example, move the decimal point three places to the right. Since the number is less than zero, the exponent is negative:

Example Question #11 : How To Convert Decimals To Scientific Notation

Convert the decimal into scientific notation:

Possible Answers:

Correct answer:

Explanation:

To convert a decimal into scientific notation, move the decimal point until you get to the left of the first non-zero integer. The number of places the decimal point moves is the power of the exponent, because each movement represents a "power of 10". The exponent will be positive if the original number is greater than zero, and negative if the original number is less than zero.

For this example, move the decimal point three places to the right. Since the number is less than zero, the exponent is negative:

Example Question #11 : How To Convert Decimals To Scientific Notation

Convert the decimal into scientific notation:

Possible Answers:

Correct answer:

Explanation:

To convert a decimal into scientific notation, move the decimal point until you get to the left of the first non-zero integer. The number of places the decimal point moves is the power of the exponent, because each movement represents a "power of 10". The exponent will be positive if the original number is greater than zero, and negative if the original number is less than zero.

For this example, move the decimal point one place to the right. Since the number is less than zero, the exponent is negative:

Example Question #16 : Other Decimals

Express the product  in scientific notation.

Possible Answers:

 is 

Correct answer:

Explanation:

A number in scientific notation takes the form , where  and is an integer. Of the five choices, all of which can be shown to be equal in value to the given product, only  and   have  in the correct range. However, in scientific notation, decimals are used, and not fractions. This makes  the correct choice.

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