integer operations #1
★ find each sum, difference, product, or quotient.
1. $-2 + (-9) =$ ______ 2. $4 - (-8) =$ ______ 3. $-9 \div 3 =$ ______
4. $-11 \times 12 =$ ______ 5. $-10 - (-11) =$ ______ 6. $-5 \times (-7) =$ ______
7. $32 \div (-8) =$ ______ 8. $-7 \times (-6) =$ ______ 9. $-21 + (-23) =$ ______
10. $59 + (-25) =$ ______ 11. $-44 + 16 =$ ______ 12. $-72 \div 9 =$ ______
13. $-20 \times (-40) =$ ______ 14. $-82 - 35 =$ ______ 15. $-158 - (-63) =$ ______
16. $-77 + (-26) =$ ______ 17. $150 \div (-25) =$ ______ 18. $-12 \times 30 =$ ______
19. $-180 \div (-15) =$ ______ 20. $-314 - (-47) =$ ______ 21. $248 + (-193) =$ ______
22. $-23 \times (-17) =$ ______ 23. $35 \times (-14) =$ ______ 24. $-165 - 108 =$ ______
25. $-260 - (-134) =$ ______ 26. $-126 \div (-9) =$ ______ 27. $-418 + 332 =$ ______

Question

integer operations #1
★ find each sum, difference, product, or quotient.
1. $-2 + (-9) =$ ______  2. $4 - (-8) =$ ______  3. $-9 \div 3 =$ ______
4. $-11 \times 12 =$ ______  5. $-10 - (-11) =$ ______  6. $-5 \times (-7) =$ ______
7. $32 \div (-8) =$ ______  8. $-7 \times (-6) =$ ______  9. $-21 + (-23) =$ ______
10. $59 + (-25) =$ ______  11. $-44 + 16 =$ ______  12. $-72 \div 9 =$ ______
13. $-20 \times (-40) =$ ______  14. $-82 - 35 =$ ______  15. $-158 - (-63) =$ ______
16. $-77 + (-26) =$ ______  17. $150 \div (-25) =$ ______  18. $-12 \times 30 =$ ______
19. $-180 \div (-15) =$ ______  20. $-314 - (-47) =$ ______  21. $248 + (-193) =$ ______
22. $-23 \times (-17) =$ ______  23. $35 \times (-14) =$ ______  24. $-165 - 108 =$ ______
25. $-260 - (-134) =$ ______  26. $-126 \div (-9) =$ ______  27. $-418 + 332 =$ ______

Accepted Answer

### Problem 1: $-2 + (-9)$
# Explanation:
## Step 1: Add two negative numbers
When adding two negative numbers, we add their absolute values and keep the negative sign. So, $|-2| = 2$ and $|-9| = 9$. Then $2 + 9 = 11$. Since both numbers are negative, the result is $-11$.
$ -2 + (-9) = - (2 + 9) = -11 $
# Answer: $-11$

### Problem 2: $4 - (-8)$
# Explanation:
## Step 1: Subtract a negative number
Subtracting a negative number is the same as adding its positive counterpart. So, $4 - (-8) = 4 + 8$.
$4 + 8 = 12$
# Answer: $12$

### Problem 3: $-9 \div 3$
# Explanation:
## Step 1: Divide a negative by a positive
When dividing a negative number by a positive number, the result is negative. We divide the absolute values: $|-9| \div |3| = 9 \div 3 = 3$. So the result is $-3$.
$ -9 \div 3 = - (9 \div 3) = -3 $
# Answer: $-3$

### Problem 4: $-11 	imes 12$
# Explanation:
## Step 1: Multiply a negative by a positive
When multiplying a negative number by a positive number, the result is negative. We multiply the absolute values: $|-11| 	imes |12| = 11 	imes 12 = 132$. So the result is $-132$.
$ -11 	imes 12 = - (11 	imes 12) = -132 $
# Answer: $-132$

### Problem 5: $-10 - (-11)$
# Explanation:
## Step 1: Subtract a negative number
Subtracting a negative number is the same as adding its positive counterpart. So, $-10 - (-11) = -10 + 11$.
## Step 2: Add a negative and a positive
To add a negative and a positive, we subtract the smaller absolute value from the larger one and take the sign of the number with the larger absolute value. $|11| - |-10| = 11 - 10 = 1$. Since $11$ (positive) has a larger absolute value, the result is $1$.
$ -10 + 11 = 1 $
# Answer: $1$

### Problem 6: $-5 	imes (-7)$
# Explanation:
## Step 1: Multiply two negative numbers
When multiplying two negative numbers, the result is positive. We multiply the absolute values: $|-5| 	imes |-7| = 5 	imes 7 = 35$. So the result is $35$.
$ -5 	imes (-7) = 5 	imes 7 = 35 $
# Answer: $35$

### Problem 7: $32 \div (-8)$
# Explanation:
## Step 1: Divide a positive by a negative
When dividing a positive number by a negative number, the result is negative. We divide the absolute values: $|32| \div |-8| = 32 \div 8 = 4$. So the result is $-4$.
$ 32 \div (-8) = - (32 \div 8) = -4 $
# Answer: $-4$

### Problem 8: $-7 	imes (-6)$
# Explanation:
## Step 1: Multiply two negative numbers
When multiplying two negative numbers, the result is positive. We multiply the absolute values: $|-7| 	imes |-6| = 7 	imes 6 = 42$. So the result is $42$.
$ -7 	imes (-6) = 7 	imes 6 = 42 $
# Answer: $42$

### Problem 9: $-21 + (-23)$
# Explanation:
## Step 1: Add two negative numbers
When adding two negative numbers, we add their absolute values and keep the negative sign. So, $|-21| = 21$ and $|-23| = 23$. Then $21 + 23 = 44$. Since both numbers are negative, the result is $-44$.
$ -21 + (-23) = - (21 + 23) = -44 $
# Answer: $-44$

### Problem 10: $59 + (-25)$
# Explanation:
## Step 1: Add a positive and a negative
To add a positive and a negative, we subtract the smaller absolute value from the larger one and take the sign of the number with the larger absolute value. $|59| - |-25| = 59 - 25 = 34$. Since $59$ (positive) has a larger absolute value, the result is $34$.
$ 59 + (-25) = 59 - 25 = 34 $
# Answer: $34$

### Problem 11: $-44 + 16$
# Explanation:
## Step 1: Add a negative and a positive
To add a negative and a positive, we subtract the smaller absolute value from the larger one and take the sign of the number with the larger absolute value. $|-44| - |16| = 44 - 16 = 28$. Since $-44$ (negative) has a larger absolute value, the result is $-28$.
$ -44 + 16 = - (44 - 16) = -28 $
# Answer: $-28$

### Problem 12: $-72 \div 9$
# Explanation:
## Step 1: Divide a negative by a positive
When dividing a negative number by a positive number, the result is negative. We divide the absolute values: $|-72| \div |9| = 72 \div 9 = 8$. So the result is $-8$.
$ -72 \div 9 = - (72 \div 9) = -8 $
# Answer: $-8$

### Problem 13: $-20 	imes (-40)$
# Explanation:
## Step 1: Multiply two negative numbers
When multiplying two negative numbers, the result is positive. We multiply the absolute values: $|-20| 	imes |-40| = 20 	imes 40 = 800$. So the result is $800$.
$ -20 	imes (-40) = 20 	imes 40 = 800 $
# Answer: $800$

### Problem 14: $-82 - 35$
# Explanation:
## Step 1: Subtract a positive number from a negative
Subtracting a positive number from a negative number is the same as adding two negative numbers. So, $-82 - 35 = -82 + (-35)$.
## Step 2: Add two negative numbers
When adding two negative numbers, we add their absolute values and keep the negative sign. So, $|-82| + |-35| = 82 + 35 = 117$. Since both numbers are negative, the result is $-117$.
$ -82 + (-35) = - (82 + 35) = -117 $
# Answer: $-117$

### Problem 15: $-158 - (-63)$
# Explanation:
## Step 1: Subtract a negative number
Subtracting a negative number is the same as adding its positive counterpart. So, $-158 - (-63) = -158 + 63$.
## Step 2: Add a negative and a positive
To add a negative and a positive, we subtract the smaller absolute value from the larger one and take the sign of the number with the larger absolute value. $|-158| - |63| = 158 - 63 = 95$. Since $-158$ (negative) has a larger absolute value, the result is $-95$.
$ -158 + 63 = - (158 - 63) = -95 $
# Answer: $-95$

### Problem 16: $-77 + (-26)$
# Explanation:
## Step 1: Add two negative numbers
When adding two negative numbers, we add their absolute values and keep the negative sign. So, $|-77| + |-26| = 77 + 26 = 103$. Since both numbers are negative, the result is $-103$.
$ -77 + (-26) = - (77 + 26) = -103 $
# Answer: $-103$

### Problem 17: $150 \div (-25)$
# Explanation:
## Step 1: Divide a positive by a negative
When dividing a positive number by a negative number, the result is negative. We divide the absolute values: $|150| \div |-25| = 150 \div 25 = 6$. So the result is $-6$.
$ 150 \div (-25) = - (150 \div 25) = -6 $
# Answer: $-6$

### Problem 18: $-12 	imes 30$
# Explanation:
## Step 1: Multiply a negative by a positive
When multiplying a negative number by a positive number, the result is negative. We multiply the absolute values: $|-12| 	imes |30| = 12 	imes 30 = 360$. So the result is $-360$.
$ -12 	imes 30 = - (12 	imes 30) = -360 $
# Answer: $-360$

### Problem 19: $-180 \div (-15)$
# Explanation:
## Step 1: Divide two negative numbers
When dividing two negative numbers, the result is positive. We divide the absolute values: $|-180| \div |-15| = 180 \div 15 = 12$. So the result is $12$.
$ -180 \div (-15) = 180 \div 15 = 12 $
# Answer: $12$

### Problem 20: $-314 - (-47)$
# Explanation:
## Step 1: Subtract a negative number
Subtracting a negative number is the same as adding its positive counterpart. So, $-314 - (-47) = -314 + 47$.
## Step 2: Add a negative and a positive
To add a negative and a positive, we subtract the smaller absolute value from the larger one and take the sign of the number with the larger absolute value. $|-314| - |47| = 314 - 47 = 267$. Since $-314$ (negative) has a larger absolute value, the result is $-267$.
$ -314 + 47 = - (314 - 47) = -267 $
# Answer: $-267$

### Problem 21: $248 + (-193)$
# Explanation:
## Step 1: Add a positive and a negative
To add a positive and a negative, we subtract the smaller absolute value from the larger one and take the sign of the number with the larger absolute value. $|248| - |-193| = 248 - 193 = 55$. Since $248$ (positive) has a larger absolute value, the result is $55$.
$ 248 + (-193) = 248 - 193 = 55 $
# Answer: $55$

### Problem 22: $-23 	imes (-17)$
# Explanation:
## Step 1: Multiply two negative numbers
When multiplying two negative numbers, the result is positive. We multiply the absolute values: $|-23| 	imes |-17| = 23 	imes 17 = 391$. So the result is $391$.
$ -23 	imes (-17) = 23 	imes 17 = 391 $
# Answer: $391$

### Problem 23: $35 	imes (-14)$
# Explanation:
## Step 1: Multiply a positive by a negative
When multiplying a positive number by a negative number, the result is negative. We multiply the absolute values: $|35| 	imes |-14| = 35 	imes 14 = 490$. So the result is $-490$.
$ 35 	imes (-14) = - (35 	imes 14) = -490 $
# Answer: $-490$

### Problem 24: $-165 - 108$
# Explanation:
## Step 1: Subtract a positive number from a negative
Subtracting a positive number from a negative number is the same as adding two negative numbers. So, $-165 - 108 = -165 + (-108)$.
## Step 2: Add two negative numbers
When adding two negative numbers, we add their absolute values and keep the negative sign. So, $|-165| + |-108| = 165 + 108 = 273$. Since both numbers are negative, the result is $-273$.
$ -165 + (-108) = - (165 + 108) = -273 $
# Answer: $-273$

### Problem 25: $-260 - (-134)$
# Explanation:
## Step 1: Subtract a negative number
Subtracting a negative number is the same as adding its positive counterpart. So, $-260 - (-134) = -260 + 134$.
## Step 2: Add a negative and a positive
To add a negative and a positive, we subtract the smaller absolute value from the larger one and take the sign of the number with the larger absolute value. $|-260| - |134| = 260 - 134 = 126$. Since $-260$ (negative) has a larger absolute value, the result is $-126$.
$ -260 + 134 = - (260 - 134) = -126 $
# Answer: $-126$

### Problem 26: $-126 \div (-9)$
# Explanation:
## Step 1: Divide two negative numbers
When dividing two negative numbers, the result is positive. We divide the absolute values: $|-126| \div |-9| = 126 \div 9 = 14$. So the result is $14$.
$ -126 \div (-9) = 126 \div 9 = 14 $
# Answer: $14$

### Problem 27: $-418 + 332$
# Explanation:
## Step 1: Add a negative and a positive
To add a negative and a positive, we subtract the smaller absolute value from the larger one and take the sign of the number with the larger absolute value. $|-418| - |332| = 418 - 332 = 86$. Since $-418$ (negative) has a larger absolute value, the result is $-86$.
$ -418 + 332 = - (418 - 332) = -86 $
# Answer: $-86$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Problem 1: $-2 + (-9)$

Step 1: Add two negative numbers

Step 1: Subtract a negative number

Step 1: Divide a negative by a positive

Answer:

Problem 2: $4 - (-8)$