Täisarvude korrutamise ja jagamise tööleht
Multiplying And Dividing Integers Worksheet offers users three engaging worksheets tailored to different skill levels, ensuring a comprehensive understanding of integer operations through progressively challenging exercises.
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Multiplying And Dividing Integers Worksheet – Easy Difficulty
Täisarvude korrutamise ja jagamise tööleht
Instructions: Complete the following exercises to practice multiplying and dividing integers. Write your answers clearly in the space provided.
1. Õige või vale:
An integer multiplied by a negative integer always results in a negative integer.
– Answer: __________
2. Täitke tühi:
When multiplying two integers with the same sign, the result is __________.
When multiplying two integers with different signs, the result is __________.
3. Valik valik:
What is the product of -6 and 4?
a) -24
b) 24
c) -10
Vastus: __________
4. Solve the following multiplication problems:
a) 7 × 3 = __________
b) -5 × 2 = __________
c) -8 × -2 = __________
d) 9 × -3 = __________
5. Solve the following division problems:
a) 20 ÷ 4 = __________
b) -16 ÷ 4 = __________
c) -12 ÷ -3 = __________
d) 15 ÷ -5 = __________
6. Sõnaülesanne:
A gardener is planting flower beds. He plants 3 rows of flowers, with each row containing -5 plants. How many plants does he plant in total?
Vastus: __________
7. Lühike vastus:
Explain why the product of two negative integers is a positive integer.
Vastus: __________
8. Fill in the Missing Numbers:
Complete the following equations:
a) __ × 6 = -30
b) -7 × __ = -28
c) 18 ÷ __ = -3
d) -42 ÷ __ = 6
9. Väljakutse küsimus:
If a bat receives a score of -3 in the first game and then scores 2 in the next game, what is his total score after the two games?
Vastus: __________
10. Peegeldus:
Write a few sentences about what you learned while working on this worksheet.
Vastus: __________
Review your answers, ensuring to check your work. Good luck!
Multiplying And Dividing Integers Worksheet – Medium Difficulty
Täisarvude korrutamise ja jagamise tööleht
Nimi: _________________________
Kuupäev: _________________________
Instructions: Complete the following exercises by multiplying and dividing integers. Show all your work and write your final answers clearly.
A osa: valikvastustega
Vali antud variantide hulgast õige vastus.
1. What is the product of -4 and 6?
a) -24
b) 24
c) -10
d) 10
2. What is the quotient of 20 divided by -5?
a) -4
b) 4
c) -5
d) 5
3. What is the product of -3 and -7?
a) -21
b) 21
c) -10
d) 10
4. What is the result of -8 divided by 2?
a) -4
b) 4
c) -16
d) 16
B osa: täitke lahtrid
Fill in the blanks with the correct product or quotient.
5. The product of -9 and 3 is __________.
6. The quotient of -36 and -9 is __________.
7. The product of 0 and -5 is __________.
8. The quotient of 18 and -6 is __________.
Part C: Solve the Problems
Show your work for each problem. Write your final answer in the space provided.
9. Multiply: 7 × -3 = ______________*
10. Multiply: -5 × -6 = ______________*
11. Divide: -24 ÷ 8 = ______________*
12. Divide: 45 ÷ -9 = ______________*
D osa: Sõnaülesanded
Lugege iga probleem hoolikalt läbi ja lahendage.
13. A submarine is operating at a depth of -300 meters. It rises 4 times the depth of 5 meters. How deep is it now?
Show your calculation: ______________*
14. If a computer game gives you -50 points for losing a level and you play through 3 levels, how many points do you lose in total?
Show your calculation: ______________*
E osa: õige või vale
Decide if the statements are true or false. Write “T” for true and “F” for false.
15. Multiplying two negative numbers always gives a negative product. ___
16. Dividing a positive integer by a negative integer always gives a positive quotient. ___
17. The product of any integer and zero is always zero. ___
18. If you divide an integer by itself (not zero), the result is always -1. ___
Part F: Challenge Problems
These problems are slightly more complex.
19. Calculate (-2) × (10 – 4) + (3 × -5) = ______________*
20. If you divide (-60) by (2 × -3) and then multiply the result by 5, what do you get?
Show your calculation: ______________*
Enne töölehe esitamist vaadake oma vastused üle.
Multiplying And Dividing Integers Worksheet – Hard Difficulty
Täisarvude korrutamise ja jagamise tööleht
Instructions: Solve the following problems involving multiplication and division of integers. Pay careful attention to the signs of the numbers, and provide your answers in the space provided.
1. osa: valikvastustega küsimused
For each question, choose the correct answer. Circle the letter of your choice.
1. What is the product of -7 and 6?
a) -42
b) 42
c) -1
d) 1
2. What is the quotient of -56 divided by 8?
a) -7
b) 7
c) 0
d) -64
3. Calculate the product of -3 and -9.
a) 27
b) -27
c) -6
d) 6
4. What is the result of 45 divided by -15?
a) -3
b) 3
c) 0
d) -0.5
2. osa: tõsi või vale
Read the statement and determine if it is true or false. Write T for true and F for false in the space provided.
5. The product of two negative integers is always positive.
__________
6. Dividing a positive integer by a negative integer results in a positive integer.
__________
7. Multiplying 0 by any integer results in 0.
__________
8. The division of two integers with the same sign results in a negative integer.
__________
3. osa: Lühivastus
Provide a full solution alongside your answer for each of the following problems.
9. Calculate: -12 × 4 = __________
10. Calculate: 30 ÷ -5 = __________
11. Calculate: -25 × -5 = __________
12. Calculate: -64 ÷ 8 = __________
4. osa: Sõnaülesanded
Solve the following word problems involving multiplication and division of integers. Show your work.
13. A submarine is diving at a depth of 150 meters below sea level. If it ascends 30 meters, what is its new depth?
14. During a basketball game, a player scored -15 points due to fouls but also scored 20 points in the next quarter. What is the player’s total score?
15. A factory produced -200 units of a product in a month. If they increase their production rate by 50 units per month, how many months will it take for them to reach a production of 0 units?
16. If a runner loses 5 minutes for every lap completed, how much time will they lose after running 7 laps?
5. osa: Peegeldus
Reflect on what you learned while solving these problems. Write a short paragraph (3-5 sentences) about the strategies you used to tackle multiplication and division of integers. What challenges did you encounter, and how did you overcome them?
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How to use Multiplying And Dividing Integers Worksheet
Multiplying and Dividing Integers Worksheet selection begins with assessing your current understanding of integer operations; aim for a worksheet that aligns with your proficiency—neither too easy nor excessively challenging. To effectively tackle the topic, start by reviewing any foundational concepts you might find difficult, such as recognizing positive and negative number interactions. As you work through the chosen worksheet, break down the problems into manageable steps; for example, perform multiplication or division separately before applying any rules for signs. Take note of any errors made initially and revisit those specific principles to reinforce your comprehension. Additionally, setting a timer can help track your progress and simulate test conditions, which builds confidence. Lastly, consider using online resources for tutorials or videos that explain the concepts behind integer operations, providing supplementary support that complements the worksheet practice.
Engaging with the *Multiplying and Dividing Integers Worksheet* series is an essential step for anyone looking to enhance their mathematical skills, as these worksheets offer a structured approach to understanding and mastering the concepts of integer operations. By working through the three worksheets, individuals can accurately gauge their current skill level in multiplication and division, allowing them to identify areas of strength and opportunities for improvement. The progressive difficulty of the worksheets ensures that learners can challenge themselves appropriately, facilitating a deeper comprehension of how to handle integers in various contexts. Additionally, practicing with these worksheets boosts confidence, as repeated engagement with the material reinforces key concepts and strategies. Ultimately, completing the *Multiplying and Dividing Integers Worksheet* not only sharpens mathematical proficiency but also equips learners with the tools needed for success in future mathematical endeavors.