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

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: 

 

Example Question #72 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

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

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 1 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 #404 : The Number System

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 1 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:

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:

Your final answer should be: 62.18

 

Example Question #405 : The Number System

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 3 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:

Add the numbers in the ones 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:

Your final answer should be: 40.39

 

Example Question #81 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

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 5 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:

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:

Your final answer should be: 55.75

 

Example Question #82 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

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 0 from the ones place and carry the 1 from the tens place over to the left. Your work should look something like this:

Your final answer should be: 70.39

 

Example Question #83 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

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:

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:

Your final answer should be: 68.40

 

Example Question #84 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

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:

Add the numbers in the ones place:

Your work should look something like this:

Your final answer should be: 59.27

 

Example Question #24 : 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 4 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:

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:

Your final answer should be: 51.74

 

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