Common Core: 6th Grade Math : The Number System

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

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Example Questions

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: 

 

 

 

Example Question #3 : 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 2 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: 

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:

  

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

Your final answer should be:  

 

 

Example Question #4 : 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 4 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 #11 : 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 #12 : 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 1 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 #13 : 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 0 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 2 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: 

 

 

Example Question #12 : 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:

Your work should look something like this:

 

Add the numbers in the tens place:

 

Your final answer should be: 

 

 

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