Podcast
Questions and Answers
Compute each of the following:
(a) 30 + (–25) + (–10) (b) (–20) + (–5)
(c) 70 + (–20) + (–30) (d) –50 + (–60) + 50
Compute each of the following: (a) 30 + (–25) + (–10) (b) (–20) + (–5) (c) 70 + (–20) + (–30) (d) –50 + (–60) + 50
Temperature of a place at 12:00 noon was +5°C. Temperature
increased by 3°C in first hour and decreased by 1°C in the second
hour. What was the temperature at 2:00 pm?
Temperature of a place at 12:00 noon was +5°C. Temperature increased by 3°C in first hour and decreased by 1°C in the second hour. What was the temperature at 2:00 pm?
Write the fraction representing the total number of natural numbers
in the collection of numbers –3, – 2, –1, 0, 1, 2, 3. What fraction
will it be for whole numbers? What fraction will it be for integers?
Write the fraction representing the total number of natural numbers in the collection of numbers –3, – 2, –1, 0, 1, 2, 3. What fraction will it be for whole numbers? What fraction will it be for integers?
It was estimated that because of people switching to Metro trains,
about 33000 tonnes of CNG, 3300 tonnes of diesel and 21000 tonnes
of petrol was saved by the end of year 2007. Find the fraction of :
(i) the quantity of diesel saved to the quantity of petrol saved.
(ii) the quantity of diesel saved to the quantity of CNG saved
It was estimated that because of people switching to Metro trains, about 33000 tonnes of CNG, 3300 tonnes of diesel and 21000 tonnes of petrol was saved by the end of year 2007. Find the fraction of : (i) the quantity of diesel saved to the quantity of petrol saved. (ii) the quantity of diesel saved to the quantity of CNG saved
Signup and view all the answers
A rectangle is divided into certain number of equal parts. If 16 of the
parts so formed represent the fraction 1
4
, find the number of parts
in which the rectangle has been divided
A rectangle is divided into certain number of equal parts. If 16 of the parts so formed represent the fraction 1 4 , find the number of parts in which the rectangle has been divided
Signup and view all the answers
Mr. Rajan got a job at the age of 24 years and he got retired from the
job at the age of 60 years. What fraction of his age till retirement
was he in the job?
Mr. Rajan got a job at the age of 24 years and he got retired from the job at the age of 60 years. What fraction of his age till retirement was he in the job?
Signup and view all the answers
Arrange the fractions 2/3, 1/ 3, 4 /2, and 5/6
in ascending order.
Arrange the fractions 6 /7, 4/
, , 7, 8/ 5 and 3/
4
in descending order.
Arrange the fractions 2/3, 1/ 3, 4 /2, and 5/6 in ascending order. Arrange the fractions 6 /7, 4/ , , 7, 8/ 5 and 3/ 4 in descending order.
Signup and view all the answers
. Round off 20.83 to nearest tenths.
93. Round off 75.195 to nearest hundredths.
94. Round off 27.981 to nearest tenths.
. Round off 20.83 to nearest tenths. 93. Round off 75.195 to nearest hundredths. 94. Round off 27.981 to nearest tenths.
Signup and view all the answers
Convert 2009 paise to rupees and express the result as a mixed
fraction.
and Convert 1537cm to m and express the result as an improper fraction
Convert 2009 paise to rupees and express the result as a mixed fraction. and Convert 1537cm to m and express the result as an improper fraction
Signup and view all the answers
Shivangi is suffering from anaemia as haemoglobin level in her blood
is lower than the normal range. Doctor advised her to take one iron
tablet two times a day. If the cost of 10 tablets is Rs 17, then what
amount will she be required to pay for her medical bill for 15 days?
Shivangi is suffering from anaemia as haemoglobin level in her blood is lower than the normal range. Doctor advised her to take one iron tablet two times a day. If the cost of 10 tablets is Rs 17, then what amount will she be required to pay for her medical bill for 15 days?
Signup and view all the answers
Study Notes
Basic Arithmetic Operations
- 30 + (-25) + (-10) = -5
- (-20) + (-5) = -25
- 70 + (-20) + (-30) = 20
- -50 + (-60) + 50 = -60
Temperature Calculation
- Initial temperature at 12:00 noon: +5°C
- Increase in temperature in the first hour: +3°C
- Decrease in temperature in the second hour: -1°C
- Temperature at 2:00 pm: +5°C + 3°C - 1°C = +7°C
Natural Numbers and Whole Numbers
- Total number of natural numbers: 6 (-3, -2, -1, 0, 1, 2, 3)
- Fraction of natural numbers: 6/7
- Total number of whole numbers: 7 (-3, -2, -1, 0, 1, 2, 3)
- Fraction of whole numbers: 7/7 = 1
- Total number of integers: 7 (-3, -2, -1, 0, 1, 2, 3)
- Fraction of integers: 7/7 = 1
Fuel Savings
- Total CNG saved: 33000 tonnes
- Total diesel saved: 3300 tonnes
- Total petrol saved: 21000 tonnes
- Fraction of diesel saved to petrol saved: 3300/21000 = 1/6
- Fraction of diesel saved to CNG saved: 3300/33000 = 1/10
Rectangle Division
- Fraction of the rectangle: 1/4
- Number of parts in which the rectangle is divided: 4
Mr. Rajan's Job
- Age at which Mr. Rajan started his job: 24 years
- Age at which Mr. Rajan retired: 60 years
- Fraction of his age till retirement was he in the job: (60-24)/60 = 36/60 = 3/5
Fraction Comparison
- Arranging fractions in ascending order: 1/3, 2/3, 4/2, 5/6
- Arranging fractions in descending order: 6/7, 4/7, 3/4, 2/3, 5/6
Rounding Numbers
- Rounding 20.83 to the nearest tenth: 20.8
- Rounding 75.195 to the nearest hundredth: 75.20
- Rounding 27.981 to the nearest tenth: 28.0
Conversions
- Converting 2009 paise to rupees: 2009/100 = 20.09 rupees
- Expressing the result as a mixed fraction: 20 9/100
- Converting 1537 cm to meters: 1537/100 = 15.37 m
- Expressing the result as an improper fraction: 1537/100
Medical Bill Calculation
- Cost of 10 tablets: Rs 17
- Number of tablets required for 15 days: 2 tablets/day * 15 days = 30 tablets
- Cost of medical bill for 15 days: 30 tablets * (Rs 17/10 tablets) = Rs 51
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your skills in adding and subtracting integers with this quiz. Compute the given expressions to practice and improve your arithmetic abilities.
