Question

1. $-19 + (-13)$2. $(-7)-(-5)$3. $18 - (-6)$4. $-7 - (-17)$5. $-19 - 18$6. $\frac{-30}{-5}$7. $40 - 77$8. $-128 - (-11)$9. $-6 × (-8)$10. $-129 + 11$11. $6 - (-125)$12. $-84 - (-49)$13. $(-45)-(-17)$14. $-179 - (-17)$15. $\frac{40}{-8}$16. $(-21)-(-41)$17. $-19 × (-3)$18. $-110 - (-310)$lesson 2.3c - subtracting integersname_________________________ period_ date_________use the information in the table at the right to answer the following questions.1. what is the difference between the highest and the lowest temperatures listed?2. what two dates have temperatures that are $6^circ$ apart?3. how much warmer was it on november $12^{th}$ than february $3^{rd}$?4. it was $17^circ$ warmer on february $1^{st}$ than january $31^{st}$. what was the temperature on february $1^{st}$?lowest temperatures in places| date | degrees fahrenheit || ---- | ---- || jan 18th | $-3^circ f$ || dec 9th | $5^circ f$ || feb 3rd | $-8^circ f$ || jan 31st | $-14^circ f$ || nov 12th | $2^circ f$ |

Explanation:

First Section: Integer Operations

Step1: Solve each integer operation

1. Add two integers

$-18 + 13 = -5$

2. Multiply two negatives

$(-7) \times (-5) = 35$

3. Subtract a negative (add positive)

$18 - (-6) = 18 + 6 = 24$

4. Subtract a negative (add positive)

$-7 - (-7) = -7 + 7 = 0$

5. Subtract positive from negative

$-10 - 18 = -28$

6. Divide negative by negative

$\frac{-30}{-5} = 6$

7. Subtract positive from positive

$40 - 7 = 33$

8. Subtract a negative (add positive)

$-108 - (-15) = -108 + 15 = -93$

9. Multiply negative by negative

$-4 \times (-8) = 32$

10. Add negative and positive

$-15 + 11 = -4$

11. Subtract a negative (add positive)

$6 - (-12) = 6 + 12 = 18$

12. Subtract a negative (add positive)

$-80 - (-40) = -80 + 40 = -40$

13. Multiply negative by negative, subtract negative

$(-8) \times (-7) = 56; \ 56 - (-7) = 56 + 7 = 63$

14. Add negative and negative

$-19 + (-7) = -26$

15. Divide positive by negative

$\frac{40}{-8} = -5$

16. Multiply two negatives

$(-5) \times (-9) = 45$

17. Multiply negative by negative

$-19 \times (-3) = 57$

18. Subtract a negative (add positive)

$-10 - (-31) = -10 + 31 = 21$

Step1: Identify key temperatures

Highest temp: $8^\circ\text{F}$ (Dec 9th), Lowest temp: $-14^\circ\text{F}$ (Jan 31st)

Step2: Calculate temp difference (Q1)

$8 - (-14) = 8 + 14 = 22$

Step3: Find 6° apart temps (Q2)

Check pairs: $2 - (-4) = 6$, so Nov 12th and Jan 18th

Step4: Compare Nov 12th and Feb 3rd (Q3)

$2 - (-8) = 2 + 8 = 10$

Step5: Calculate Feb 1st temp (Q4)

$-14 + 17 = 3$

Answer:

1. $-5$
2. $35$
3. $24$
4. $0$
5. $-28$
6. $6$
7. $33$
8. $-93$
9. $32$
10. $-4$
11. $18$
12. $-40$
13. $63$
14. $-26$
15. $-5$
16. $45$
17. $57$
18. $21$

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Second Section: Temperature Questions