The value of the numbers getslargeras youmovetotheright on the number line (at the picture) and getssmalleras you movetotheleft.
To add numbers with the same sign, add the numbers and keep the sign. To add numbers with different signs, ignore the signs and subtractthe smallerfrom the largernumber. Give the result the sign of larger number.
Forexample:
3 + 4 = 7
-3 + (-4) = -7
-4 + 8 = 4
-7 + 2 = -5
To subtractsignednumbers, change the subtraction operation to addition and change the sign of the number being subtracted. Then add.
For example:
-5 - 2
-5 + (-2) = -7
8 - (-4)
8 + (+4) = 12
To multiplyor divide signed numbers, ignore the signs and multiplyor divide. If the signs are the same, the answer is positive. If the signsare different, the answer is negative.
For example:
-2 × (-3) = 6
-7 × 3 = -21
-8/-2 = 4
18/-3 = -6
Example question:
Which of the following is in order from the least to greatest.
a. -5, 8, -6
b. 0, -4, -6
c. -5, -1, 4
d. 2, 7, 9
C.-5is the smallestnumber because it is farthestto the left on the number line. The nextnumberis -1, and 7 is the farthestto the right.
Answers & Comments
SIGNED NUMBERS
The value of the numbers gets larger as you move to the right on the number line (at the picture) and gets smaller as you move to the left.
To add numbers with the same sign, add the numbers and keep the sign. To add numbers with different signs, ignore the signs and subtract the smaller from the larger number. Give the result the sign of larger number.
For example:
3 + 4 = 7
-3 + (-4) = -7
-4 + 8 = 4
-7 + 2 = -5
To subtract signed numbers, change the subtraction operation to addition and change the sign of the number being subtracted. Then add.
For example:
-5 - 2
-5 + (-2) = -7
8 - (-4)
8 + (+4) = 12
To multiply or divide signed numbers, ignore the signs and multiply or divide. If the signs are the same, the answer is positive. If the signs are different, the answer is negative.
For example:
-2 × (-3) = 6
-7 × 3 = -21
-8/-2 = 4
18/-3 = -6
Example question:
Which of the following is in order from the least to greatest.
a. -5, 8, -6
b. 0, -4, -6
c. -5, -1, 4
d. 2, 7, 9
#CarryOnLearning