14°F in the morning. If the temperature dropped 7°F, what is the temperature now? RESULTS BOX: |
RESULTS BOX: |
RESULTS BOX: |
RESULTS BOX: |
39°C. The freezing point of alcohol is 114°C. How much warmer is the melting point of mercury than the freezing point of alcohol? RESULTS BOX: |
Last modified on August 3rd, 2023
We use integers in our everyday life for counting money and measuring the speed of sound and light, height and weight of objects, temperature and pressure of the atmosphere, and depth of a sea. Solving word problems related to the above measurements will help us relate better to the concept with applications.
A submarine was located 600 feet below sea level. Calculate its new position if it ascends 250 feet from its position.
Given, The initial position of the submarine is 600 feet It ascends 250 feet Thus, the new position of the submarine is (600 – 250) feet = 350 feet Thus, the new depth of the submarine is 550 feet
Today’s weather report suggested that the temperature of New York City increased from 10-degree celsius to 20-degree celsius. What is the rise in temperature?
Given, Initial temperature = -10 degree celsius Final temperature = 20 degrees celsius Increase in temperature = 20 – (-10) = 30 degrees celsius Thus, the rise in temperature of New York City is 30 degree Celsius.
Demitri owes her mother \$5.00. He earns \$12.00 doing chores. How much is left with him after he gives his mother what she owes?
Given, Amount to be given to his mother = \$5.00 He earns = \$12.00 Thus, he is left with = \$(12.00 – 5.00) = \$7.00 Thus, Demitri is left with \$7.00.
The local movie theater reported losses of \$475 each day for 3 days. What was the total loss incurred for the 3 days?
Given, Loss incurred by the movie theater per day = \$475 The loss incurred in 3 days = \$(3 × 475) = \$1,425 Thus the total loss incurred by the movie theater in 3 days is \$1,425
The Second World War began in the year 1939 and ended in 1945. How long did it last?
Given, The Second World War began in 1939 and ended in 1945 Thus, it lasted (1945 – 1939) = 6 years
Mt. Everest is 29,028 feet above sea level, and the Dead Sea is 1,312 feet below sea level. Find the difference between the 2 elevations.
Given The height of Mt. Everest is 29,028 feet above sea level The height of the Dead Sea is 1,312 feet below sea level Thus, the difference between the 2 elevations = (29,028 + 1,312) feet = 30,340 feet
Dakota withdrew a total of \$600 over 4 days. If he withdrew the same amount daily, find the amount he withdrew each day.
Given, Total amount Dakota withdrew = \$600 Number of days he withdrew = 4 days Amount withdrawn each day = \$(600 ÷ 4) = \$150 Thus, Dakota withdrew \$150 per day.
Andrew had \$12,000 in his account. He once withdrew \$2,000 and then deposited $6,000. What is the current balance in the account?
Given, Initial balance Andrew had = \$12,000 Amount withdrawn = \$2,000 Amount deposited = \$6,000 Thus, the current balance = \$(12,000 – 2,000 + 6,000) = \$16,000 Thus, the current balance Andrew has currently in his account is \$16,000
A kite rises 100 feet from the ground and then falls back 40 feet. What is the current height of the kite from the ground?
Given, The kite rises = 100 feet and then falls back = 40 feet Thus, the current height of the kite from the ground is (100 – 40) feet = 60 feet
If it is 3°C outside and the temperature drops 15° C in the next 6 hours, how cold will it be after 6 hours?
Initially, the outside temperature was 2°C Then, the temperature drops to = (2 – 15)°C = -13°C Thus, the temperature after 6 hours will be -13°C
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Integer Word Problems
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Problems related to integer numbers in mathematics are presented along with their solutions.
Find two consecutive integers whose sum is equal 129. Find three consecutive integers whose sum is equal to 366. The sum of three consecutive even integers is equal to 84. Find the numbers. The sum on an odd integer and twice its consecutive is equal to equal to 3757. Find the number. The sum of the first and third of three consecutive odd integers is 131 less than three times the second integer. Find the three integers. The product of two consecutive odd integers is equal to 675. Find the two integers. x (x + 2) = 675 x + 2 x - 675 = 0 x = 25 or x = -27 if x = 25 then x + 2 = 27 if x = -27 then x + 2 = -25 25 and 27 -27 and -25 Find four consecutive even integers so that the sum of the first two added to twice the sum of the last two is equal to 742. When the smallest of three consecutive odd integers is added to four times the largest, it produces a result 729 more than four times the middle integer. Find the numbers and check your answer. |
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Can you perform well and score high with these integers test quiz questions and answers for 8th-grade students? This test will grade your ability to add, subtract, multiply, and divide integers. The quiz is not that difficult. Especially if you are in 8th grade or above, so, let's see how well you are going to do with these questions. Let us just go for it. Best of luck to you!
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9th - 10th , working with integers, 7th - 8th , 5th - 6th , adding & subtracting integers, integer order of operations, solving one step equations, integer basics, adding integers, 6th - 7th .
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An arithmetic operation is an elementary branch of mathematics. Arithmetical operations include addition, subtraction, multiplication and division. Arithmetic operations are applicable to different types of numbers including integers.
Integers are a special group of numbers that do not have a fractional or a decimal part. It includes positive numbers, negative numbers and zero. Arithmetic operations on integers are similar to that of whole numbers. Since integers can be positive or negative numbers i.e. as these numbers are preceded either by a positive (+) or a negative sign (-), it makes them a little confusing concept. Therefore, they are different from whole numbers . Let us now see how various arithmetical operations can be performed on integers with the help of a few word problems. Solve the following word problems using various rules of operations of integers.
Example 1: Shyak has overdrawn his checking account by Rs.38. The bank debited him Rs.20 for an overdraft fee. Later, he deposited Rs.150. What is his current balance?
Solution: Given,
Total amount deposited= Rs. 150
Amount overdrew by Shyak= Rs. 38
Amount charged by bank= Rs. 20
⇒ Debit amount= -20
Total amount debited = (-38) + (-20) = -58
Current balance= Total deposit +Total Debit
Hence, the current balance is Rs. 92.
Example 2: Anna is a microbiology student. She was doing research on optimum temperature for the survival of different strains of bacteria. Studies showed that bacteria X need optimum temperature of -31˚C while bacteria Y need optimum temperature of -56˚C. What is the temperature difference?
Solution: Given,
Optimum temperature for bacteria X = -31˚C
Optimum temperature for bacteria Y= -56˚C
Temperature difference= Optimum temperature for bacteria X – Optimum temperature for bacteria Y
⇒ (-31) – (-56)
Hence, temperature difference is 25˚C.
Example 3: A submarine submerges at the rate of 5 m/min. If it descends from 20 m above the sea level, how long will it take to reach 250 m below sea level?
Initial position = 20 m (above sea level)
Final position = 250 m (below sea level)
Total depth it submerged = (250+20) = 270 m
Thus, the submarine travelled 270 m below sea level.
Time taken to submerge 1 meter = 1/5 minutes
Time taken to submerge 270 m = 270 (1/5) = 54 min
Hence, the submarine will reach 250 m below sea level in 54 minutes.
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These 8th grade math worksheets also deal with the logical and reasoning aspect of mathematics and help students in real-life as well. Cuemath 8th-grade integers worksheets not only provide questions to practice but also come along with an answer key for students to learn the concept step-by-step. Printable PDFs for Integers Worksheets for Grade 8
So, -8 × 8, 8 × (-8), -8 × (-8) and 8 × 8 all result in an absolute value of 64, but in two cases, the answer is positive (64) and in two cases the answer is negative (-64). Should you wish to develop some "real-world" examples of integer multiplication, it might be a stretch due to the abstract nature of negative numbers.
Integer Word Problems Worksheets. An integer is defined as a number that can be written without a fractional component. For example, 11, 8, 0, and −1908 are integers whereas √5, Π are not integers. The set of integers consists of zero, the positive natural numbers, and their additive inverses.
The ultimate collection of free 8th grade math worksheets. All of our 8th grade math worksheets are topic-specific, printable (they are available as pdf files), and include a complete answer key. This is the only 8th grade math worksheets library you will ever need--simply pick your topic, select a worksheet, click and download.
There are four basic operations when working with integers: addition, subtraction, multiplication, and division. Addition of Integers. When adding integers, remember the following rules: If both integers have the same sign, add their absolute values and keep the sign. If the integers have different signs, subtract the absolute value of the ...
Explore printable Operations With Integers worksheets for 8th Grade. Operations With Integers worksheets for Grade 8 are an essential resource for teachers looking to help their students develop a strong foundation in Math, particularly in the areas of Number Sense, Integers, and Rational Numbers. These worksheets provide a variety of exercises ...
Integer worksheets contain a huge collection of practice pages based on the concepts of addition, subtraction, multiplication, and division. Exclusive pages to compare and order integers and representing integers on a number line are given here with a variety of activities and exercises. These pdf worksheets provide abundant practice for 6th ...
Challenge Exercises Integer Word Problems. Directions: Read each question below. Click once in an ANSWER BOX and type in your answer; then click ENTER. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR. Each answer should be given as a positive or ...
Follow us. Improve your math knowledge with free questions in "Add and subtract integers: word problems" and thousands of other math skills.
Follow us. Improve your math knowledge with free questions in "Add and subtract integers: word problems" and thousands of other math skills.
Integers and Rational Numbers worksheets for Grade 8 are essential tools for teachers who want to help their students develop a strong foundation in math and number sense. These worksheets provide a variety of exercises and problems that cover topics such as adding, subtracting, multiplying, and dividing integers, as well as understanding and ...
Solving word problems related to the above measurements will help us relate better to the concept with applications. A submarine was located 600 feet below sea level. Calculate its new position if it ascends 250 feet from its position. Solution: Given, The initial position of the submarine is 600 feet. It ascends 250 feet.
Activity 1: Have the students write what they know about multiplication. Use the think-pair- share strategy. This could be used again at the end of the lesson to show what they have learned during the lesson. Activity 2: Give the students a multiplication fact; e.g., 8 × 4 or 3 × 6.
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12. The temperature was -3o C last night. It is now -4o C. What was the change in temperature? 13. While watching a football game, Lin Chow decided to list yardage gained as positive integers and yardage lost as negative integers. After these plays, Lin recorded 14, -7, and 9.
Integer Word Problems Practice. jbaines Member for 3 years Age: 11-16. Level: 7-8. Language ... Country code: US. Country: United States. School subject: Math ... Integers (2012528) From worksheet author: Integer Word Problems. Loading ad... Share / Print Worksheet. Google Classroom
Properties of Integers. Closure Property: For any a and b integers, a * b is also an integer, where * represents arithmetic operations ( +, -, × ) For example: -2 + 3 = 1 is an integer - 34 - 4 = - 38 is an integer - 6 × 2 = - 12 is an integer
Solution to Problem 1: Let x and x + 1 (consecutive integers differ by 1) be the two numbers. Use the fact that their sum is equal to 129 to write the equation. x + (x + 1) = 129. Solve for x to obtain. x = 64. The two numbers are. x = 64 and x + 1 = 65. We can see that the sum of the two numbers is 129.
Best of luck to you! Questions and Answers. 1. 2- (-3) Explanation. The given expression is 2- (-3)/5. To solve this, we first need to simplify the expression within the parentheses. The negative sign before the 3 means that we need to change the sign of 3, so - (-3) becomes 3. Now the expression becomes 2-3/5.
Compare and order integers. IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)!
Grade 8 Integer Test Review quiz for 8th grade students. Find other quizzes for Mathematics and more on Quizizz for free! ... follow the same rules as multiplying integers. Follow the same rules as adding integers. ... What is the first step in solving this problem: -2 ⋅ (3 + 8 ÷ 4) 2. multiplication . addition . division. subtraction . 45 ...
Let us now see how various arithmetical operations can be performed on integers with the help of a few word problems. Solve the following word problems using various rules of operations of integers. Word problems on integers Examples: Example 1: Shyak has overdrawn his checking account by Rs.38. The bank debited him Rs.20 for an overdraft fee.
Follow us. Improve your math knowledge with free questions in "Integers on number lines" and thousands of other math skills.
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