To solve these division problems, we need to remember two key rules about dividing integers:
1.
Same Signs: If both numbers have the same sign (both positive or both negative), the answer is
positive.
2.
Different Signs: If the numbers have different signs (one positive and one negative), the answer is
negative.
3.
Zero Rule: Zero divided by any non-zero number is always
zero.
Let's go through each problem step-by-step:
*
a. $9 \div (-3)$: Different signs ($+$ and $-$). $9 \div 3 = 3$. Answer is
$-3$.
*
b. $-42 \div 7$: Different signs ($-$ and $+$). $42 \div 7 = 6$. Answer is
$-6$.
*
c. $-36 \div (-4)$: Same signs ($-$ and $-$). $36 \div 4 = 9$. Answer is
$9$.
*
d. $-30 \div 5$: Different signs ($-$ and $+$). $30 \div 5 = 6$. Answer is
$-6$.
*
e. $72 \div (-9)$: Different signs ($+$ and $-$). $72 \div 9 = 8$. Answer is
$-8$.
*
f. $0 \div (-3)$: Zero divided by anything is
$0$.
*
g. $-121 \div 11$: Different signs ($-$ and $+$). $121 \div 11 = 11$. Answer is
$-11$.
*
h. $-30 \div (-2)$: Same signs ($-$ and $-$). $30 \div 2 = 15$. Answer is
$15$.
*
i. $-48 \div (-4)$: Same signs ($-$ and $-$). $48 \div 4 = 12$. Answer is
$12$.
*
j. $-18 \div 6$: Different signs ($-$ and $+$). $18 \div 6 = 3$. Answer is
$-3$.
*
k. $-49 \div 7$: Different signs ($-$ and $+$). $49 \div 7 = 7$. Answer is
$-7$.
*
l. $56 \div (-7)$: Different signs ($+$ and $-$). $56 \div 7 = 8$. Answer is
$-8$.
*
m. $-63 \div (-9)$: Same signs ($-$ and $-$). $63 \div 9 = 7$. Answer is
$7$.
*
n. $-36 \div 6$: Different signs ($-$ and $+$). $36 \div 6 = 6$. Answer is
$-6$.
*
o. $-40 \div (-8)$: Same signs ($-$ and $-$). $40 \div 8 = 5$. Answer is
$5$.
*
p. $-50 \div (-2)$: Same signs ($-$ and $-$). $50 \div 2 = 25$. Answer is
$25$.
*
q. $-75 \div 25$: Different signs ($-$ and $+$). $75 \div 25 = 3$. Answer is
$-3$.
Final Answer:
a. -3
b. -6
c. 9
d. -6
e. -8
f. 0
g. -11
h. 15
i. 12
j. -3
k. -7
l. -8
m. 7
n. -6
o. 5
p. 25
q. -3
Parent Tip: Review the logic above to help your child master the concept of division of integers worksheet.