Explanation:
Let's solve each problem step by step. Remember the rules for multiplying and dividing integers:
- When you multiply or divide two numbers with the same sign (both positive or both negative), the result is positive.
- When you multiply or divide two numbers with different signs (one positive and one negative), the result is negative.
Now let's go through each problem:
a) 1 × (-4)
1 is positive, -4 is negative. Different signs → negative result.
1 × 4 = 4, so the answer is -4.
b) 5 × (+7)
5 is positive, +7 is positive. Same signs → positive result.
5 × 7 = 35, so the answer is 35.
c) -3 × (-2)
-3 is negative, -2 is negative. Same signs → positive result.
3 × 2 = 6, so the answer is 6.
d) -12 × (+8)
-12 is negative, +8 is positive. Different signs → negative result.
12 × 8 = 96, so the answer is -96.
e) 3 × (-7)
3 is positive, -7 is negative. Different signs → negative result.
3 × 7 = 21, so the answer is -21.
f) -4 × (-4)
-4 is negative, -4 is negative. Same signs → positive result.
4 × 4 = 16, so the answer is 16.
g) 12 ÷ (-3)
12 is positive, -3 is negative. Different signs → negative result.
12 ÷ 3 = 4, so the answer is -4.
h) -18 ÷ (+2)
-18 is negative, +2 is positive. Different signs → negative result.
18 ÷ 2 = 9, so the answer is -9.
i) 4 ÷ (+2)
4 is positive, +2 is positive. Same signs → positive result.
4 ÷ 2 = 2, so the answer is 2.
j) -20 ÷ (-5)
-20 is negative, -5 is negative. Same signs → positive result.
20 ÷ 5 = 4, so the answer is 4.
k) -50 ÷ (+10)
-50 is negative, +10 is positive. Different signs → negative result.
50 ÷ 10 = 5, so the answer is -5.
l) 33 ÷ (-3)
33 is positive, -3 is negative. Different signs → negative result.
33 ÷ 3 = 11, so the answer is -11.
Final Answer:
a) -4
b) 35
c) 6
d) -96
e) -21
f) 16
g) -4
h) -9
i) 2
j) 4
k) -5
l) -11
Parent Tip: Review the logic above to help your child master the concept of integer multiplication and division worksheet.
