Common Core: 6th Grade Math : Grade 6

Study concepts, example questions & explanations for Common Core: 6th Grade Math

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Example Questions

Example Question #141 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

Elliot bought  coffee drinks from a famous coffee shop. The first two drinks cost him and he paid a total of . How much did the third drink cost?

Possible Answers:

Correct answer:

Explanation:

To find the cost of the third drink, you must subtract the total cost by the cost of the two drinks.

Example Question #1 : Subtracting Multi Digit Decimals

Possible Answers:

Correct answer:

Explanation:

We first subtract the hundredths place:

Then the tenths place: Since  is less than , we have to borrow from the , the  becomes a  and the  becomes :

Then the ones place:

So the final answer is .

Example Question #2 : Subtracting Multi Digit Decimals

Possible Answers:

Correct answer:

Explanation:

We first subtract the hundredths place:

Then the tenths place: Since  is less than , we have to borrow from the , the  becomes a  and the  becomes :

Then the ones place: , since the  is less than , we have to borrow from the , the  becomes  is the tens place, and the  becomes  in the ones place:

So the final answer is .

Example Question #1 : Problem Solving

What is ?

Possible Answers:

Correct answer:

Explanation:

 removed from  results in the whole integer .

Example Question #2 : Problem Solving

Subtract: 

Possible Answers:

Correct answer:

Explanation:

Rewrite  adding the correct number of placeholders and evaluate.

Example Question #4 : Subtracting Multi Digit Decimals

Menu 1

The above is a menu at the concession stand at a drive-in movie. The stand also offers a special "Meal Deal": a hamburger or a hot dog, a medium order of fries, and a medium soda for 

Randy orders two Meal Deals - a hamburger Meal Deal for himself and a hot dog Meal Deal for his friend Denise. How much more would he have paid for the items separately?

(Ignore tax)

Possible Answers:

Correct answer:

Explanation:

The two Meal Deals cost .

Purchased separately, the hamburger would have cost $4.89; the hot dog, $4.39; each of the two medium orders of fries, $2.79; and each of the two medium sodas, $1.69. The total price of the items, purchased separately, would have been

  

    

    

    

    

    

The difference between this and the $16 paid for the food is

Example Question #1 : Subtracting Multi Digit Decimals

Shawn bought two coats at the jacket store for .  He returned one of the two coats the next day and received  back on his credit card.  How much did the other coat cost?

Possible Answers:

Correct answer:

Explanation:

In order to find the cost of the coat that Shawn kept you must subtract the amount of money that went back on his credit card from the total that he spent on the two coats.  

Example Question #1 : Find Greatest Common Factor

Use the distributive property to express the sum  as the multiple of a sum of two whole numbers with no common factor. 

Possible Answers:

None of these

Correct answer:

Explanation:

The distributive property can be used to rewrite an expression. When we use this property we will identify and pull out the greatest common factor of each of the addends. Then we can create a quantity that represents the sum of two whole numbers with no common factor multiplied by their greatest common factor.

 

In this case, the greatest common factor shared by each number is:

 

After we reduce each addend by the greatest common factor we can rewrite the expression:

Example Question #1 : Find Greatest Common Factor And Least Common Multiple: Ccss.Math.Content.6.Ns.B.4

Use the distributive property to express the sum  as the multiple of a sum of two whole numbers with no common factor. 

Possible Answers:

Correct answer:

Explanation:

The distributive property can be used to rewrite an expression. When we use this property we will identify and pull out the greatest common factor of each of the addends. Then we can create a quantity that represents the sum of two whole numbers with no common factor multiplied by their greatest common factor.

 

In this case, the greatest common factor shared by each number is:

 

After we reduce each addend by the greatest common factor we can rewrite the expression:

Example Question #2 : Find Greatest Common Factor

Use the distributive property to express the sum  as the multiple of a sum of two whole numbers with no common factor. 

Possible Answers:

None of these

Correct answer:

Explanation:

The distributive property can be used to rewrite an expression. When we use this property we will identify and pull out the greatest common factor of each of the addends. Then we can create a quantity that represents the sum of two whole numbers with no common factor multiplied by their greatest common factor.

 

In this case, the greatest common factor shared by each number is:

 

After we reduce each addend by the greatest common factor we can rewrite the expression:

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