Question

subtracting integers. rewrite each subtraction problem as an addition problem then solve. ① 0 - (-2) ② (-5) - 3 ③ 4 - 7 ④ 8 - (-6) ⑤ (-2) - 7 ⑥ (-16) - (-4) ⑦ 30 - (-11) ⑧ 23 - (-9) ⑨ (-15) - 1 ⑩ (-7) - 6 ⑪ 13 - (-2) ⑫ (-1) - (-6) ⑬ 8 - 9 ⑭ 2 - 4 ⑮ (-3) - (-8)

Explanation:

Step1: Use rule of subtracting integers

The rule is \(a - b=a+( - b)\) and \(a-(-b)=a + b\).

Step2: Solve problem (1)

\(0-(-2)=0 + 2=2\)

Step3: Solve problem (2)

\((-5)-3=(-5)+(-3)=-8\)

Step4: Solve problem (3)

\(4 - 7=4+( - 7)=-3\)

Step5: Solve problem (4)

\(8-(-6)=8 + 6=14\)

Step6: Solve problem (5)

\((-2)-7=(-2)+(-7)=-9\)

Step7: Solve problem (6)

\((-16)-(-4)=-16 + 4=-12\)

Step8: Solve problem (7)

\(30-(-11)=30 + 11=41\)

Step9: Solve problem (8)

\(23-(-9)=23 + 9=32\)

Step10: Solve problem (9)

\((-15)-1=(-15)+(-1)=-16\)

Step11: Solve problem (10)

\((-7)-6=(-7)+(-6)=-13\)

Step12: Solve problem (11)

\(13-(-2)=13 + 2=15\)

Step13: Solve problem (12)

\((-1)-(-6)=-1 + 6=5\)

Step14: Solve problem (13)

\(8-9=8+( - 9)=-1\)

Step15: Solve problem (14)

\(2-4=2+( - 4)=-2\)

Step16: Solve problem (15)

\((-3)-(-8)=-3 + 8=5\)

Answer:

(1) 2; (2) -8; (3) -3; (4) 14; (5) -9; (6) -12; (7) 41; (8) 32; (9) -16; (10) -13; (11) 15; (12) 5; (13) -1; (14) -2; (15) 5