Questions 1-2 : Add or subtract using a number line.
Question 1 :
-3 + 6
Question 2 :
-2 - (-9)
Question 3 :
Add ;
-5 and -17
Question 4 :
Add :
-14 and 6
Question 5 :
Add :
6 and -13
Question 6 :
Add :
7.3 and -5.8
Question 7 :
Subtract :
11 from 8
Question 8 :
Subtract :
-15 from -4
Question 9 :
Subtract :
3/8 from -1/8
Question 10 :
Subtract :
-6 from 34.5
Question 1 :
-3 + 6
Answer :
On a number line, start at 0 and move left to -3.
To add 6, move right 6 units.
-3 + 6 = 3
Question 2 :
-2 - (-9)
Answer :
On a number line, start at 0 and move left to -2.
To subtract -9, move right 9 units.
-2 - (-9) = 7
Question 3 :
Add -5 and -17.
Answer :
= -5 + (-17)
Same signs : add the absolute values.
(5 + 17 = 22)
Both numbers are negative, so the sum is negative.
= -22
Question 4 :
Add -14 and 6.
Answer :
= -14 + 6
Different signs : subtract the absolute values.
(14 - 6 = 8)
Use the sign of the number with the greater absolute value.
= -8
Question 5 :
Add 6 and -13.
Answer :
= 6 + (-13)
Different signs : subtract the absolute values.
(13 - 6 = 7)
Use the sign of the number with the greater absolute value.
= -7
Question 6 :
Add 7.3 and -5.8.
Answer :
= 7.3 + (-5.8)
Different signs : subtract the absolute values.
(7.3 - 5.8 = 1.5)
Use the sign of the number with the greater absolute value.
= 1.5
Question 7 :
Subtract 11 from 8.
Answer :
= 8 - 11
To subtract 11, add -11.
= 8 + (-11)
Different signs : subtract absolute values.
(11 - 8 = 2)
Use the sign of the number with the greater absolute value.
= -2
Question 8 :
Subtract -15 from -4.
Answer :
= -4 - (-15)
To subtract -15, add 15.
= -4 + 15
Different signs : subtract absolute values.
(15 - 4 = 11)
Use the sign of the number with the greater absolute value.
= 11
Question 9 :
Subtract 3/8 from -1/8.
Answer :
To subtract 3/8, add -38.
= (-1/8) + (-3/8)
Same signs : add absolute values.
(1/8 + 3/8 = 4/8 = 1/2)
Both numbers are negative, so the sum is negative.
= -1/2
Question 10 :
Subtract -6 from 34.5.
Answer :
= 34.5 - (-6)
To subtract -6, add 6.
= 34.5 + 6
Same signs : add absolute values.
(34.5 + 6 = 40.5)
Both numbers are positive, so the sum is negative.
= 40.5
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