Question

mixed integer practice
compute.

1. $-9 + 13$
2. $(-7)(-5)$
3. $18 - (-6)$
4. $-3 - (-7)$
5. $-9 - 18$
6. $\frac{-30}{-3}$
7. $8(-7)$
8. $-18 + (-13)$
9. $-9 \times (-5)$
10. $-19 + 11$
11. $6 - (-15)$
12. $-54 \div (-6)$
13. $|-8| - (-3)$
14. $-19 + (-7)$
15. $\frac{40}{-8}$
16. $|-5| - |-9|$
17. $-19 \times |-3|$
18. $-10 - (-31)$
19. $7 + (-11)$
20. $\frac{72}{-18}$
21. $-14 - (-11)$
22. $-9 + 18$
23. $14(-7)$
24. $-12 + (-9)$
25. $-46 \div (-2)$
26. $8 + (-22)$
27. $-45 \div 9$
28. $-9 + (-3)$
29. $-9(-4)$
30. $-12 - 19$

Explanation:

Step1: Solve \(-9 + 13\)

When adding a negative and a positive number, subtract the absolute values and take the sign of the number with the larger absolute value. \(13 - 9 = 4\), and \(13\) has a larger absolute value, so \(-9 + 13 = 4\).

Step2: Solve \((-7)(-5)\)

The product of two negative numbers is positive. So \((-7)(-5)=7\times5 = 35\).

Step3: Solve \(18-(-6)\)

Subtracting a negative is like adding the positive. So \(18 - (-6)=18 + 6 = 24\).

Step4: Solve \(-3-(-7)\)

Subtracting a negative is adding the positive. \(-3 + 7 = 4\) (since \(7-3 = 4\) and \(7\) is positive).

Step5: Solve \(-9 - 18\)

Subtracting a positive from a negative: add the absolute values and keep the negative sign. \(9 + 18 = 27\), so \(-9 - 18=-27\).

Step6: Solve \(\frac{-30}{-3}\)

The quotient of two negative numbers is positive. \(\frac{30}{3}=10\), so \(\frac{-30}{-3}=10\).

Step7: Solve \(8(-7)\)

The product of a positive and a negative number is negative. \(8\times7 = 56\), so \(8(-7)=-56\).

Step8: Solve \(-18+(-13)\)

Adding two negative numbers: add the absolute values and keep the negative sign. \(18 + 13 = 31\), so \(-18+(-13)=-31\).

Step9: Solve \(-9\times(-5)\)

Product of two negatives is positive. \(9\times5 = 45\), so \(-9\times(-5)=45\).

Step10: Solve \(-19 + 11\)

Subtract absolute values: \(19 - 11 = 8\), and \(-19\) has larger absolute value, so \(-19 + 11=-8\).

Step11: Solve \(6-(-15)\)

Subtracting negative is adding positive. \(6 + 15 = 21\).

Step12: Solve \(-54\div(-6)\)

Quotient of two negatives is positive. \(54\div6 = 9\), so \(-54\div(-6)=9\).

Step13: Solve \(|-8|-(-3)\)

First, the absolute value of \(-8\) is \(8\). Then, subtracting a negative is adding positive. \(8 + 3 = 11\).

Step14: Solve \(-19+(-7)\)

Adding two negatives: \(19 + 7 = 26\), so \(-19+(-7)=-26\).

Step15: Solve \(\frac{40}{-8}\)

Quotient of positive and negative is negative. \(40\div8 = 5\), so \(\frac{40}{-8}=-5\).

Step16: Solve \(|-5|-|-9|\)

Absolute values: \(|-5| = 5\), \(|-9| = 9\). Then \(5 - 9=-4\).

Step17: Solve \(-19\times|-3|\)

Absolute value of \(-3\) is \(3\). Product of negative and positive: \(-19\times3=-57\).

Step18: Solve \(-10-(-31)\)

Subtracting negative is adding positive. \(-10 + 31 = 21\) (since \(31-10 = 21\)).

Step19: Solve \(7+(-11)\)

Subtract absolute values: \(11 - 7 = 4\), and \(-11\) has larger absolute value, so \(7+(-11)=-4\).

Step20: Solve \(\frac{72}{-18}\)

Quotient of positive and negative is negative. \(72\div18 = 4\), so \(\frac{72}{-18}=-4\).

Step21: Solve \(-14-(-11)\)

Subtracting negative is adding positive. \(-14 + 11=-3\) (since \(14 - 11 = 3\) and \(-14\) is negative).

Step22: Solve \(-9 + 18\)

Subtract absolute values: \(18 - 9 = 9\), and \(18\) is positive, so \(-9 + 18 = 9\).

Step23: Solve \(14(-7)\)

Product of positive and negative is negative. \(14\times7 = 98\), so \(14(-7)=-98\).

Step24: Solve \(-12+(-9)\)

Adding two negatives: \(12 + 9 = 21\), so \(-12+(-9)=-21\).

Step25: Solve \(-46\div(-2)\)

Quotient of two negatives is positive. \(46\div2 = 23\), so \(-46\div(-2)=23\).

Step26: Solve \(8+(-22)\)

Subtract absolute values: \(22 - 8 = 14\), and \(-22\) has larger absolute value, so \(8+(-22)=-14\).

Step27: Solve \(-45\div9\)

Quotient of negative and positive is negative. \(45\div9 = 5\), so \(-45\div9=-5\).

Step28: Solve \(-9+(-3)\)

Adding two negatives: \(9 + 3 = 12\), so \(-9+(-3)=-12\).

Step29: Solve \(-9(-4)\)

Product of two negatives is positive. \(9\times4 = 36\), so \(-9(-4)=36\).

Step30: Solve \(-12 - 19\)

Subtracting a positive from a negative: add absolute values and keep negative. \(12 + 19 = 31\), so \(-12 - 19=-31\).

Answer:

1. \(4\)
2. \(35\)
3. \(24\)
4. \(4\)
5. \(-27\)
6. \(10\)
7. \(-56\)
8. \(-31\)
9. \(45\)
10. \(-8\)
11. \(21\)
12. \(9\)
13. \(11\)
14. \(-26\)
15. \(-5\)
16. \(-4\)
17. \(-57\)
18. \(21\)
19. \(-4\)
20. \(-4\)
21. \(-3\)
22. \(9\)
23. \(-98\)
24. \(-21\)
25. \(23\)
26. \(-14\)
27. \(-5\)
28. \(-12\)
29. \(36\)
30. \(-31\)