Question

1. write each subtraction equation as an addition equation.

a. ( a - 9 = 6 )
b. ( p - 20 = -30 )
c. ( z - (-12) = 15 )
d. ( x - (-7) = -10 )

Explanation:

Step1: Recall subtraction to addition rule

We know that \(a - b = a + (-b)\), and also \(a - (-b)=a + b\) (since subtracting a negative is adding the positive).

Step2: Solve part (a)

For \(a - 9 = 6\), using \(a - b=a+(-b)\), we get \(a+(- 9)=6\) or \(a - 9=a+(-9)\), so the addition equation is \(a+(-9) = 6\).

Step3: Solve part (b)

For \(p - 20=-30\), using \(a - b=a+(-b)\), we substitute \(a = p\) and \(b = 20\). So the addition equation is \(p+(-20)=-30\).

Step4: Solve part (c)

For \(z-(-12)=15\), using \(a-(-b)=a + b\), here \(a = z\) and \(b = 12\). So the addition equation is \(z + 12=15\).

Step5: Solve part (d)

For \(x-(-7)=-10\), using \(a-(-b)=a + b\), here \(a=x\) and \(b = 7\). So the addition equation is \(x + 7=-10\).

Answer:

a. \(a+(-9)=6\)
b. \(p+(-20)=-30\)
c. \(z + 12=15\)
d. \(x + 7=-10\)