Question

1 write each subtraction equation as an addition equation.
a. $5 - 8 = a$
b. $-30 - 20 = p$
c. $7 - (-10) = x$
d. $-12 - (-15) = z$

Explanation:

Step1: Recall the rule for subtraction to addition conversion

The rule is \(a - b = a + (-b)\), where subtracting a number is the same as adding its opposite.

Step2: Solve part (a)

For \(5 - 8 = a\), using the rule, we rewrite subtraction of 8 as addition of -8. So the addition equation is \(5+(-8)=a\).

Step3: Solve part (b)

For \(-30 - 20 = p\), subtract 20 is adding -20. So the equation becomes \(-30+(-20)=p\).

Step4: Solve part (c)

For \(7-(-10)=x\), subtracting -10 is adding its opposite, which is 10. So we get \(7 + 10=x\).

Step5: Solve part (d)

For \(-12-(-15)=z\), subtracting -15 is adding 15 (since the opposite of -15 is 15). So the equation is \(-12 + 15=z\).

Answer:

a. \(5+(-8)=a\)
b. \(-30+(-20)=p\)
c. \(7 + 10=x\)
d. \(-12 + 15=z\)