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

Multiply: 

Possible Answers:

Correct answer:

Explanation:

We ignore the decimals for the time being, multiplying:

Since, between them, the two original factors have a total of two digits to the right of their decimal points, we place the decimal point in the product so that there are two digits to the right. This yields:

Example Question #1523 : Grade 6

Gina is recylcing bottles. She earns  for each plastic bottle she recycles and  cents for each glass bottle she recycles.

If Gina recycles  plastic bottles and  glass bottles, how much money does she earn?

Possible Answers:

Correct answer:

Explanation:

Multiply the number of plastic bottles Gina recycles by the amount she earns for each plastic bottle, then multiply the number of glass bottles she recycles by the amount she earns for each glass bottle.

 plastic bottles at  each earns 

 glass bottles at  each earns 

Add these earnings together to find Gina's total earnings.

Example Question #381 : The Number System

Isaiah buys 5 snacks from the vending machine . If each snack is $1.75, how much money does Isaiah spend?

Possible Answers:

Correct answer:

Explanation:

Since each snack costs $1.75, multiply $1.75 by 5 to find the total cost:

 

Example Question #2 : Multiplying Multi Digit Decimals

Jenny is getting ready for school. She bought school supplies on a tax-free day. She bought notebooks for $1.25 each and crayons for $0.90 each. Jenny bought two more notebooks than crayons. She paid with a ten dollar bill and got $1.05 in change. How many notebooks did she buy?

Possible Answers:

3

4

5

1

2

Correct answer:

5

Explanation:

Define variables as x = number of crayons and x + 2 = number of notebooks

To find out how much she spent, we subtract her change from what she paid with: 10.00 – 1.05 = 8.95

Then we need to solve the problem cost of notebooks plus the cost of crayons equals the total cost.

1.25(x + 2) + 0.90x = 8.95 and solving for x gives 3 crayons and 5 notebooks                    

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 #1 : 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 #1 : How To Add And Subtract 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 .

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