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7.7 subtracting real numbers

7.7

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7.7 subtracting real numbers

  1. 1. Subtracting Real Numbers GUIDED EXAMPLE 1 Subtract SOLUTION STEP RESULT Leave the first number alone. Change the minus sign to a plus sign. Change the sign of the number being subtracted. Add the two numbers using the rules of addition. To add a positive and a negative, subtract the numerical parts and give the answer the sign of the larger numerical part. Answer
  2. 2. Subtracting Real Numbers GUIDED EXAMPLE 2 Subtract. SOLUTION STEP RESULT Leave the first number alone. Change the minus sign to a plus sign. Change the sign of the number being subtracted. Add the two numbers using the rules of addition. To add two negatives, add the numerical parts and give the answer the same sign as the numbers being added. Answer
  3. 3. Subtracting Real Numbers GUIDED EXAMPLE 3 Subtract. SOLUTION STEP RESULT Leave the first number alone. Change the minus sign to a plus sign. Change the sign of the number being subtracted. Add the two numbers using the rules of addition. To add two positives, add the numerical parts and give the answer the same sign as the numbers being added. Answer
  4. 4. Subtracting Real Numbers GUIDED EXAMPLE 4 Subtract. SOLUTION STEP RESULT Leave the first number alone. Change the minus sign to a plus sign. Change the sign of the number being subtracted. Add the two numbers using the rules of addition. To add a positive and a negative, subtract the numerical parts and give the answer the sign of the larger numerical part. Answer
  5. 5. Subtracting Real Numbers GUIDED EXAMPLE 5 Subtract. SOLUTION STEP RESULT Leave the first number alone. Change the minus sign to a plus sign. Change the sign of the number being subtracted. Add the two numbers using the rules of addition. To add a positive and a negative, subtract the numerical parts and give the answer the sign of the larger numerical part. Answer
  6. 6. Subtracting Real Numbers GUIDED EXAMPLE 6 A football team advanced 7 rushing yards on its first down, but was then pushed back 9 yards on the second down. Determine the total number of rushing yards gained by the offense after the second down. STEP Write the situation as a subtraction problem. RESULT SOLUTION The team had lost 2 total rushing yards after the second down. Leave the first number alone. Change the minus sign to a plus sign. Change the sign of the number being subtracted. Add the two numbers using the rules of addition. To add a positive and a negative, subtract the numerical parts and give the answer the sign of the larger numerical part. Answer
  7. 7. Study Guide To add two numbers with the same sign, add the absolute values, or numerical parts, of the numbers and give the answer the same sign as the numbers being added. To add two numbers with different signs, subtract the absolute values, or numerical parts, of the numbers and give the answer the same sign as the larger numerical part. Rule: SUBTRACTION OF REAL NUMBERS To subtract real numbers, add the opposite of the second number to the first. We sometimes refer to this as “Leave, Change, Change.” Procedure: SUBTRACTING REAL NUMBERS To subtract real numbers, do the following: 1. Leave the first number alone. 2. Change the minus sign to a plus sign. 3. Change the sign of the number being subtracted. 4. Add the two numbers using the rules of addition.

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