Problem: Solve the worksheet on multiplying and dividing negative numbers.
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Section A: Work out these multiplication and division questions.
1. $(-8) \times 4 = -32$
2. $(-50) \div 10 = -5$
3. $5 \times (-9) = -45$
4. $21 \div (-7) = -3$
5. $(-7) \times (-5) = 35$
6. $(-18) \div (-6) = 3$
7. $(-8) \times 10 = -80$
8. $36 \div (-3) = -12$
9. $0 \times (-5) = 0$
10. $(-42) \div 6 = -7$
11. $(-6) \times (-8) = 48$
12. $(-32) \div (-4) = 8$
13. $(-12) \times 3 = -36$
14. $0 \div (-9) = 0$
15. $(-7) \times (-8) = 56$
16. $(-6) \times 12 = -72$
17. $48 \div (-6) = -8$
18. $(-80) \div 4 = -20$
19. $(-15) \times (-10) = 150$
20. $108 \div (-9) = -12$
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Section B: Fill in the missing numbers.
1. $(-3) \times 12 = -36$
Explanation: To find the missing number, solve $-3 \times x = -36$. Divide both sides by $-3$: $x = \frac{-36}{-3} = 12$.
2. $44 \div (-4) = -11$
Explanation: To find the missing number, solve $44 \div x = -11$. Multiply both sides by $x$ and divide by $-11$: $x = \frac{44}{-11} = -4$.
3. $(-3) \times (-9) = 27$
Explanation: To find the missing number, solve $-3 \times x = 27$. Divide both sides by $-3$: $x = \frac{27}{-3} = -9$.
4. $(-48) \div 12 = -4$
Explanation: To find the missing number, solve $-48 \div x = -4$. Multiply both sides by $x$ and divide by $-4$: $x = \frac{-48}{-4} = 12$.
5. $-11 \times 5 = -55$
Explanation: To find the missing number, solve $x \times 5 = -55$. Divide both sides by $5$: $x = \frac{-55}{5} = -11$.
6. $-28 \div (-7) = 4$
Explanation: To find the missing number, solve $x \div (-7) = 4$. Multiply both sides by $-7$: $x = 4 \times (-7) = -28$.
7. $7 \times (-9) = -63$
Explanation: To find the missing number, solve $x \times (-9) = -63$. Divide both sides by $-9$: $x = \frac{-63}{-9} = 7$.
8. $-88 \div 11 = -8$
Explanation: To find the missing number, solve $x \div 11 = -8$. Multiply both sides by $11$: $x = -8 \times 11 = -88$.
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Section C: Use numbers from the list to complete the equations.
The list of numbers is: $-24, -12, 3, -4, 6, -2, 48, -8$.
1.
Complete the equations:
- $-2 \times -4 = 8$
- $-4 \times -4 = 16$
- $-8 \times -4 = 32$
- $-24 \div 4 = -6$
- $-48 \div 6 = -8$
- $48 \div 4 = 12$
2.
Find three different sets of numbers to complete the equation $x \times y \div z = -3$:
- $-12 \times 6 \div -24 = -3$
- $-24 \times 3 \div -24 = -3$
- $-8 \times 6 \div -16 = -3$
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Final Answer:
\[
\boxed{
\begin{array}{l}
\text{Section A:} \\
1. -32, 2. -5, 3. -45, 4. -3, 5. 35, 6. 3, 7. -80, 8. -12, 9. 0, 10. -7, \\
11. 48, 12. 8, 13. -36, 14. 0, 15. 56, 16. -72, 17. -8, 18. -20, 19. 150, 20. -12. \\
\text{Section B:} \\
1. 12, 2. -4, 3. -9, 4. 12, 5. -11, 6. -28, 7. 7, 8. -88. \\
\text{Section C:} \\
1. -2 \times -4 = 8, -4 \times -4 = 16, -8 \times -4 = 32, -24 \div 4 = -6, -48 \div 6 = -8, 48 \div 4 = 12. \\
2. -12 \times 6 \div -24 = -3, -24 \times 3 \div -24 = -3, -8 \times 6 \div -16 = -3.
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of adding subtracting multiplying and dividing negative numbers worksheet.
