Common Core: 7th Grade Math : Solve Problems with the Four Operations with Rational Numbers: CCSS.Math.Content.7.NS.A.3

Study concepts, example questions & explanations for Common Core: 7th Grade Math

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Example Questions

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Example Question #1 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Solve:

Possible Answers:

Correct answer:

Explanation:

Example Question #2 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Possible Answers:

Correct answer:

Explanation:

Remember PEMDAS. The parentheses comes first. When adding a negative value, the operation is subtraction. We now have . The answer in the parentheses is , but since there is a negative sign outside, we need to add that in so final answer becomes 

Example Question #14 : Negative Numbers

Possible Answers:

Correct answer:

Explanation:

When given multiple operations, remember PEMDAS. Division comes before subtraction. So we divide  by  first to get an answer of . Now we have an expression of . To determine the answer, it's best to compare the values without doing any math. Since  is bigger than  and the  has the negative sign in front, the answer is negative. So, just subtract  with  to get . Since the answer should be negative, the final answer is 

Example Question #3 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Possible Answers:

Correct answer:

Explanation:

Remember PEMDAS. The parentheses comes first so let's work what's inside. When adding a negative sign, the operation becomes negative. So, we have . To determine the answer, it's best to compare the values without doing any math. Since  is bigger than  and the  has the negative sign in front, the answer is negative. So, we subtract normally to get  but the actual answer should be . Now, we hae . Two negatives make a positive so the final answer is 

Example Question #4 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Possible Answers:

Correct answer:

Explanation:

Remember PEMDAS. Let's work the parantheses first. For  we have opposite signs in the product so the answer should be negative.  is . Next, on the last parantheses, . First we will do . When multiplying two negatives, we get a positive value.  is . Next, we need to divide  by .  When that positive value is divided by a negative value, the answer is negative. So  is Now, we have:

. We can now work from left to right. When adding positive with negative, the sign becomes negative. Since  is greater than  and it's negative, the expression becomes subtraction. We get . Next, with two negative signs, we get a positive value. The expression is now . We can add all the positive values and get an expression of . Since  is greater than  and  is positive, the answer is positive. We treat this as a subtraction problem because of the  and the difference is . The answer we want is positive so the answer is still 

Example Question #5 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Possible Answers:

Correct answer:

Explanation:

Remember PEMDAS. The parantheses come first. On the left we have  is greater than  and it's negative. We turn that expression into a subtraction problem and get  in the first paranthesis. On the other parentheses, two negatives make a positive so now it becomes  or . Now we have . Now we can work left to right. On the left, since we are multiplying two negative values, the answer is positive. So we have  or . On the right, with opposite signs, we get a negative answer. So that becomes . Now we have . Since we are dividing opposite signs, the answer is negative. The quotient is  but we want a negative value so final answer is 

Example Question #6 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Possible Answers:

Correct answer:

Explanation:

We need to take care of the parentheses first because of PEMDAS. Parentheses has priority over everything. The product is  is . Because there is a negative sign outside the parentheses, we need to add it to our answer which now becomes 

Example Question #7 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Possible Answers:

Correct answer:

Explanation:

Remember PEMDAS. Parentheses comes first then multiplication. . We are multiplying two negatives which make a positive number, in this case . Next, we have  since there is only one negative number, the answer is negative.

Example Question #8 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Possible Answers:

Correct answer:

Explanation:

Remember PEMDAS. Parenthesis comes first then multiplication. . We are multiplying two negatives which make a positive number, in this case . Next, we have just multiplication of . Since there are two negative numbers and one positive number being multiplied, the answer is positive.  and 

Example Question #9 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Solve: 

Possible Answers:

Correct answer:

Explanation:

We know the following information:

In this particular case, do the negative numbers change our answer? There are a couple of rules that we need to remember when multiplying with negative numbers to help us answer this question:

  • A negative number multiplied by a positive number will always equal a negative number
  • A negative number multiplied by a negative number will always equal a positive number 

Thus,

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