Common Core: 8th Grade Math : Expressions & Equations

Study concepts, example questions & explanations for Common Core: 8th Grade Math

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Example Questions

Example Question #21 : Expressions & Equations

Solve: 

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall our exponent rules:

When our base numbers are equal to each other, like in this problem, we can add our exponents together using the following formula:

Let's apply this rule to our problem

Solve for the exponents

We cannot leave this problem in this format because we cannot have a negative exponent. Instead, we can move the base and the exponent to the denominator of a fraction:

Solve the problem

Example Question #22 : Expressions & Equations

Solve: 

 

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall our exponent rules:

When our base numbers are equal to each other, like in this problem, we can add our exponents together using the following formula:

Let's apply this rule to our problem

Solve for the exponents

We cannot leave this problem in this format because we cannot have a negative exponent. Instead, we can move the base and the exponent to the denominator of a fraction:

Solve the problem

Example Question #23 : Expressions & Equations

Solve: 

 

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall our exponent rules:

When our base numbers are equal to each other, like in this problem, we can add our exponents together using the following formula:

Let's apply this rule to our problem

Solve for the exponents

We cannot leave this problem in this format because we cannot have a negative exponent. Instead, we can move the base and the exponent to the denominator of a fraction:

Solve the problem

Example Question #24 : Expressions & Equations

Solve: 

 

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall our exponent rules:

When our base numbers are equal to each other, like in this problem, we can add our exponents together using the following formula:

Let's apply this rule to our problem

Solve for the exponents

We cannot leave this problem in this format because we cannot have a negative exponent. Instead, we can move the base and the exponent to the denominator of a fraction:

Solve the problem

Example Question #25 : Expressions & Equations

Solve: 

 

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall our exponent rules:

When our base numbers are equal to each other, like in this problem, we can add our exponents together using the following formula:

Let's apply this rule to our problem

Solve for the exponents

We cannot leave this problem in this format because we cannot have a negative exponent. Instead, we can move the base and the exponent to the denominator of a fraction:

Solve the problem

Example Question #26 : Expressions & Equations

Solve: 

 

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall our exponent rules:

When our base numbers are equal to each other, like in this problem, we can add our exponents together using the following formula:

Let's apply this rule to our problem

Solve for the exponents

We cannot leave this problem in this format because we cannot have a negative exponent. Instead, we can move the base and the exponent to the denominator of a fraction:

Solve the problem

Example Question #27 : Expressions & Equations

Which of the following expressions is equivalent to ?

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall our exponent rules:

When our base numbers are equal to each other, like in this problem, we can add our exponents together using the following formula:

Let's apply this rule to our problem

Solve for the exponents

We cannot leave this problem in this format because we cannot have a negative exponent. Instead, we can move the base and the exponent to the denominator of a fraction:

Solve the problem

Example Question #1 : Use Powers Of 10 To Estimate Quantities: Ccss.Math.Content.8.Ee.A.3

Select the number that is equal to four times ten to the fifth power. 

 

Possible Answers:

Correct answer:

Explanation:

Four times ten to the fifth power can be written numerically as the following:

When a number between one and ten is multiplied by a power of ten it is said to be written in scientific notation. This number is currently written in scientific notation.

Even though this appears to be a challenging math problem (i.e. because we have a power of ten), we can simply move our decimal place after the four, or , over  spaces to the right using zeros as place holders. 

Add commas and simplify.

Example Question #2 : Use Powers Of 10 To Estimate Quantities: Ccss.Math.Content.8.Ee.A.3

Select the number that is equal to three times ten to the seventh power. 

Possible Answers:

Correct answer:

Explanation:

Three times ten to the seventh power can be written numerically as the following:

When a number between one and ten is multiplied by a power of ten it is said to be written in scientific notation. This number is currently written in scientific notation.

Even though this appears to be a challenging math problem (i.e. because we have a power of ten), we can simply move our decimal place after the three, or , over  spaces to the right using zeros as place holders. 

Add commas and simplify.

Example Question #3 : Use Powers Of 10 To Estimate Quantities: Ccss.Math.Content.8.Ee.A.3

Select the number that is equal to two times ten to the eighth power. 

 

Possible Answers:

Correct answer:

Explanation:

Two times ten to the eighth power can be written numerically as the following:

When a number between one and ten is multiplied by a power of ten it is said to be written in scientific notation. This number is currently written in scientific notation.

Even though this appears to be a challenging math problem (i.e. because we have a power of ten), we can simply move our decimal place after the two, or , over  spaces to the right using zeros as place holders. 

Add commas and simplify.

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