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 #3 : Arithmetic

Menu 1

The above is a menu at the concession stand at a drive-in movie. The stand also offers a Family Chicken Strip Bucket - twenty chicken strips, four medium orders of fries, and four medium sodas for $30.

How much more would the items of the Family Chicken Strip Bucket cost if they were purchased separately?

(Ignore tax)

Possible Answers:

Correct answer:

Explanation:

There are twenty chicken strips in the Family Chicken Strip Bucket, which are the same as in five orders; each order costs $3.99 separately. Each medium order of fries costs $2.79 separately, and each medium soda costs $1.69 separately. The items separately cost a total of 

Subtract $30; the savings amount to 

Example Question #3 : How To Multiply And Divide Decimals

Multiply:  

Possible Answers:

Correct answer:

Explanation:

Multiply the terms as is, ignoring the decimal.

Since there is one decimal from the original problem, the decimal place is one unit from the right.  Therefore, the final answer must have a decimal one unit to from the right.

The answer is .

Example Question #2 : How To Add

Find the sum of 2.4, 55, and 6.21.

Possible Answers:

Correct answer:

Explanation:

To find the sum, you need to add. Line up all numbers vertically. Since one number has a decimal to the tenths place, one has a decimal to the hundredths place, and one has no decimal, be extra careful to line up the digits correctly! To help you, add a zero to the end of 2.4, and add two zeroes to the end of 55 so that all the digits line up correctly.

Now, add down each column, starting on the right side and moving to the left.

The sum is 63.61.

Example Question #1 : Adding Multi Digit Decimals

Samantha went to the toy store and bought three things: 

2 bouncy balls: $0.49 each

1 coloring book: $4.75 each

How much money did Samantha spend at the toy store?

Possible Answers:

Correct answer:

Explanation:

To find the answer, you must add up all three items. Be careful to add $0.49 TWO times because Samantha bought 2 bouncy balls:

 

Samantha spent $5.73 at the toy store.

Example Question #61 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

Possible Answers:

Correct answer:

Explanation:

Add the "whole" parts of the numbers:  

Add the "decimal" parts of the numbers: 

Add both parts together: 

 

 

Example Question #3 : Decimals

If Susie bought a pair of shoes for , a shirt for , and a pair of pants for . How much did she spend in total?

Possible Answers:

Correct answer:

Explanation:

You add all three values and you get .

Example Question #6 : Decimals

Menu 1

Above is the menu at the concession stand at a school carnival. Ken wants to purchase a hamburger, a medium order of fries, and medium soda for himself, and a hot dog, a small order of fries, and a small soda for his friend Donna. He hands the clerk a $10 bill and a $5 bill. He has some $1 bills in his pocket; how many of them will he need to hand to the clerk along with the other two bills?

(No tax is charged, since this is a school event)

Possible Answers:

Two

One

Three

None

Correct answer:

Three

Explanation:

The items Ken purchases are as follows: 

Hamburger: $4.89

Medium fries: $2.79

Medium soda: $1.69

Hot dog: $4.39

Small fries: $2.29

Small soda: $1.09

The sum of the prices of these items:

  

    

    

    

    

    

Subtract from $20:

Rounding this up - Ken needs to give the clerk three more $1 bills.

Example Question #6 : Adding Multi Digit Decimals

Solve:

Possible Answers:

 

Correct answer:

Explanation:

When we add with multi-digit numbers with decimals, we start with the numbers furthest to the right and work our way towards the left.

Add the numbers in the hundredths place:

Your work should look something like this:

Add the numbers in the tenths place:

Your work should look something like this:

*Notice that the decimal moves directly down when we are adding decimal numbers. 

Add the numbers in the ones place:

Because this sum is greater than 9, we write the 2 from the ones place and carry the 1 from the tens place over to the left. Your work should look something like this:

Add the numbers in the tens place including the one carried over:

Your final answer should be: 

Example Question #7 : Adding Multi Digit Decimals

Solve:

 

 

Possible Answers:

 

Correct answer:

 

Explanation:

When we add with multi-digit numbers with decimals, we start with the numbers furthest to the right and work our way towards the left.

Add the numbers in the hundredths place:

 

Your work should look something like this:

Add the numbers in the tenths place:

 

Because this sum is greater than 9, we write the 6 from the ones place and carry the 1 from the tens place over to the left. Your work should look something like this:

Your work should look something like this:

*Notice that the decimal moves directly down when we are adding decimal numbers. 

 

Add the numbers in the ones place including the one carried over:

Your work should look something like this:

 

Add the numbers in the tens place:

Your final answer should be: 

 

 

Example Question #5 : Adding Multi Digit Decimals

Solve:

 

Possible Answers:

Correct answer:

Explanation:

When we add with multi-digit numbers with decimals, we start with the numbers furthest to the right and work our way towards the left.

Add the numbers in the hundredths place:

 

Because this sum is greater than 9, we write the 2 from the ones place and carry the 1 from the tens place over to the left. Your work should look something like this:

Add the numbers in the tenths place including the one carried over:

Because this sum is greater than 9, we write the 5 from the ones place and carry the 1 from the tens place over to the left. Your work should look something like this:

*Notice that the decimal moves directly down when we are adding decimal numbers. 

Add the numbers in the ones place including the one carried over:

 Your work should look something like this: 

Add the numbers in the tens place:

Your final answer should be: 

 

 

 

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