Podcast
Questions and Answers
Which integer is neither positive nor negative?
Which integer is neither positive nor negative?
What is the greatest negative integer?
What is the greatest negative integer?
-1
On multiplying the greatest two-digit integer with the smallest two-digit positive integer, what do we get?
On multiplying the greatest two-digit integer with the smallest two-digit positive integer, what do we get?
99
What is the product of five negative integers and two positive integers?
What is the product of five negative integers and two positive integers?
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What is the sum of -3 and 15?
What is the sum of -3 and 15?
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What is 0 ÷ (-3)?
What is 0 ÷ (-3)?
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Determine the integer whose product with -1 is 25, -35, or -26.
Determine the integer whose product with -1 is 25, -35, or -26.
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What is the difference between the smallest positive integer and the greatest negative integer?
What is the difference between the smallest positive integer and the greatest negative integer?
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In the series -11, -8, -5, -2, what is the next number?
In the series -11, -8, -5, -2, what is the next number?
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What will be the sign of the product if we multiply 8 negative integers and 3 positive integers?
What will be the sign of the product if we multiply 8 negative integers and 3 positive integers?
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Study Notes
Integers
- The integer that is neither positive nor negative is 0.
- There is no greatest negative integer.
- The product of the greatest two-digit integer and the smallest two-digit positive integer is 99 × 10 = 990.
- The product of five negative integers and two positive integers is always negative.
- The sum of -3 and 15 is 12.
- 0 ÷ (-3) is undefined.
- The integer whose product with -1 is:
- 25 is -25
- -35 is 35
- -26 is 26
- The difference between the smallest positive integer and the greatest negative integer is undefined.
- The next number in the series -11, -8, -5, -2 is -1.
- The sign of the product of 8 negative integers and 3 positive integers is negative.
- The sign of the product of (-1) multiplied 2m times, where m is a natural number, is negative if m is odd and positive if m is even.
- The room temperature 10 hours after the process begins is -20°C.
Data Handling
- The middle value of the given observation is called the median.
- The value that occurs most frequently in the given data is called the mode.
- The mean of the first 5 prime numbers is (2 + 3 + 5 + 7 + 11) / 5 = 28 / 5 = 5.6.
- The difference between the highest and lowest observation is called the range of the given data.
- The average of the given observations is called the mean.
- The median of the marks is 39, and the mode is 38 and 39.
- The mean, median, mode, and range of the price of apples varied over a period of months need to be calculated.
Fractions and Decimals
- The reciprocal of 7/2 is 2/7, of 11 2/3 is 3/11, and of 20/5 is 5/4.
- The product of:
- 2/3 and 9/4 is 3/2
- 1 ½ and 3 ½ is 5 ¼
- 0.001 and 0.05 is 0.00005
- 2.5 and 100 is 250
- The area of the rectangular park is 7 1/6 × 11 3/7 = 80 23/42 square meters.
- The length of each piece of the rope is 7 1/5 ÷ 12 = 35/60 = 7/12 meters.
- The other decimal is 32.396 ÷ 5.2 = 6.23.
- The result of dividing 20.45 by 0.5 is 40.9.
Lines and Angles
- A pair of supplementary angles is 130⁰ and 50⁰, or 69⁰ and 111⁰, but not 30⁰ and 60⁰.
- When the sum of the measures of two angles is 90⁰, the angles are called complementary.
- A line that intersects two or more given lines in a plane at different points is called a transversal to the given lines.
- The supplementary angle of 25° is 155⁰.
- The measure of the complement of an angle of measure 80⁰ is 10⁰.
- Statement 1 is correct, and Statement 11 is correct.
- The value of x, y, and z in the figure can be calculated using angle properties.
- The values of x and y in the figure can be calculated using angle properties.
- The pairs of alternate angles, alternate interior angles, and pairs of angles that form a linear pair can be identified in the figure.
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Description
Test your knowledge of integers with this quiz featuring questions on properties and operations with positive and negative integers.
