Use the strategy of your choice to find the sums and differences below.
a)(-4)+(10)+(4)+(-2)
b)(5)+(-8)+(3)+(-7)
c)(-19)+(14)+(21)+(-23)
d)(5)-(-10)-(4)
e)(-3)-(-3)-(-3)
f)(+26)-(-32)-(+15)-(8)
Continue each pattern, 3 times
a) 5,2,-1,-4,-,-,-
b) -11,-7,-3,1,-,-,-
What don't you understand about these problems?
a 8
b -7
c -7
d 11
e 3
f 35
a -7, -10, -13
b 5, 9, 13
To find the sum and difference of the given expressions, you can simply combine the numbers together, following the rules of addition and subtraction. Let's solve each expression step by step:
a) (-4) + (10) + (4) + (-2)
Start by adding the numbers together without considering the signs:
-4 + 10 + 4 + -2 = 8 + -2 = 6
b) (5) + (-8) + (3) + (-7)
Again, add the numbers together:
5 + -8 + 3 + -7 = -3 + -7 = -10
c) (-19) + (14) + (21) + (-23)
Keep adding the numbers:
-19 + 14 + 21 + -23 = -5 + -2 = -7
d) (5) - (-10) - (4)
To subtract a negative number, you can change it to addition:
5 - (-10) - 4 = 5 + 10 - 4 = 15 - 4 = 11
e) (-3) - (-3) - (-3)
Similar to the previous expression, convert the negatives to positives:
-3 - (-3) - (-3) = -3 + 3 + 3 = 3 + 3 = 6
f) (+26) - (-32) - (+15) - (8)
Apply the same principles:
26 - (-32) - 15 - 8 = 26 + 32 - 15 - 8 = 58 - 23 = 35
Continuing each pattern 3 times:
a) 5, 2, -1, -4, -7, -10, -13
To continue the pattern, simply subtract 3 from the previous number each time.
b) -11, -7, -3, 1, 5, 9, 13
For this pattern, add 4 to the previous number in each step.