**“Knowing our Numbers” is an important topic in mathematics that helps us understand and use numbers in our daily lives. This topic covers various aspects of numbers, such as their types, properties, and operations. By studying this topic, students can develop a strong foundation in mathematics that will help them in their future studies and everyday life. In this essay, we will discuss the key concepts and applications of “Knowing our Numbers” in 6th Grade NCERT.** **(Knowing our Numbers)**

**The first concept covered under “Knowing our Numbers” is the types of numbers. Numbers can be classified into different types, such as natural numbers, whole numbers, integers, rational numbers, and irrational numbers. Natural numbers are the numbers that we use for counting, such as 1, 2, 3, and so on. Whole numbers include all the natural numbers and the number zero, such as 0, 1, 2, 3, and so on. Integers are numbers that include both positive and negative numbers, such as -3, -2, -1, 0, 1, 2, 3, and so on. Rational numbers are the numbers that can be expressed as a fraction, such as 1/2, 3/4, and so on. Irrational numbers are the numbers that cannot be expressed as a fraction, such as pi (π) or square root of 2 (√2).**

**The second concept covered under “Knowing our Numbers” is the properties of numbers. Numbers have various properties, such as commutative, associative, distributive, and identity. The commutative property states that the order of numbers does not affect the result of an operation, such as 2+3 = 3+2. The associative property states that the grouping of numbers does not affect the result of an operation, such as (2+3)+4 = 2+(3+4). The distributive property states that multiplying a number by a sum is the same as multiplying each term in the sum by the number and then adding the products, such as 2x(3+4) = 2×3 + 2×4. The identity property states that adding or multiplying by 0 does not change the value of a number, such as 2+0 = 2 or 2×1 = 2.** **(Knowing our Numbers)**

**The third concept covered under “Knowing our Numbers” is the operations of numbers. Numbers can be operated using various operations, such as addition, subtraction, multiplication, and division. The addition is the process of combining two or more numbers to get a total, such as 2+3 = 5. Subtraction is the process of taking one number away from another to find the difference, such as 5-3 = 2. Multiplication is the process of repeated addition, such as 2×3 = 6 (which means 2+2+2). Division is the process of sharing a quantity equally among a group, such as 6/2 = 3 (which means dividing 6 into 2 equal parts).**

**In conclusion, “Knowing our Numbers” is an essential topic in mathematics that helps us understand and use numbers in our daily lives. By studying this topic, students can develop a strong foundation in mathematics that will help them in their future studies and everyday life. The concepts covered under this topic include the types of numbers, the properties of numbers, and the operations of numbers. By mastering these concepts, students can become confident and skilled in using numbers in various applications.** **(Knowing our Numbers)**

Table of Contents

**Knowing our Numbers** **Quiz**

**Quiz 1:**

**Question: What is the place value of 5 in the number 8465?**

** A) Thousands B) Hundreds C) Tens D) Units**

**Answer: B) Hundreds Explanation: In the number 8465, 5 is in the hundreds place.**

**Quiz 2:**

**Question: Which is the smallest 4-digit number? **

**A) 1000 B) 1001 C) 1002 D) 1003**

**Answer: A) 1000 Explanation: 1000 is the smallest 4-digit number as it has the smallest digit in the thousands place.**

**Quiz 3:**

**Question: Which is the greatest 3-digit even number? **

**A) 988 B) 986 C) 984 D) 982**

**Answer: A) 988 Explanation: The greatest 3-digit even number is the one with the largest digit in the hundreds place, which is 9. Therefore, the answer is 988.**

**Quiz 4:**

**Question: Which is the smallest 5-digit number with a non-zero digit in the ones place? **

**A) 10000 B) 10001 C) 10002 D) 10003**

**Answer: B) 10001 Explanation: The smallest 5-digit number with a non-zero digit in the ones place is the one with the smallest digit in the thousands, hundreds, and tens places, and 1 in the ones place. Therefore, the answer is 10001.**

**Quiz 5:**

**Question: What is the predecessor of 500? **

**A) 499 B) 501 C) 502 D) 503**

**Answer: A) 499 Explanation: The predecessor of a number is the number that comes before it in the number line. Therefore, the predecessor of 500 is 499.**

**Quiz 6:**

**Question: Which is the greater number: 0.2 or 0.02?**

** A) 0.2 B) 0.02 C) Both are equal**

**Answer: A) 0.2 Explanation: To compare two decimal numbers, we compare them digit by digit starting from the left. In this case, the first digit in 0.2 is 2, which is greater than the first digit in 0.02, which is 0. Therefore, 0.2 is greater than 0.02.**

**Quiz 7:**

**Question: Which is the smallest natural number? **

**A) 0 B) 1 C) 2 D) 3**

**Answer: B) 1 Explanation: The smallest natural number is 1, as it is the first counting number.**

**Quiz 8:**

**Question: What is the successor of 9999? **

**A) 10000 B) 9998 C) 9997 D) 9996**

**Answer: A) 10000 Explanation: The successor of a number is the number that comes after it in the number line. Therefore, the successor of 9999 is 10000.**

**Quiz 9:**

**Question: Which is the greatest 5-digit odd number?**

** A) 99999 B) 99997 C) 99995 D) 99993**

**Answer: B) 99997 Explanation: The greatest 5-digit odd number is the one with the largest digit in the ten thousands, thousands, hundreds, and tens places, and 1 in the ones place. Therefore, the answer is 99997.**

**Quiz 10:**

**Question: What is the place value of 8 in the number 832.56?**

** A) Tens B) Hundreds C) Thousands D) Ten-thousandths**

**Answer: B) Hundreds Explanation: In the number 832.56, 8 is in the hundreds place.**

**Quiz 11:**

**Question: Which is the smallest 3-digit odd number?**

** A) 100 B) 101 C) 102 D) 103**

**Answer: B) 101 Explanation: The smallest 3-digit odd number is the one with the smallest digit in the hundreds place and 1 in the ones place. Therefore, the answer is 101.**

Quiz **12**:

**Question: Which is the greatest 2-digit number?**

** A) 100 B) 99 C) 98 D) 97**

**Answer: B) 99 Explanation: The greatest 2-digit number is the one with the largest digit in the tens place and 9 in the ones place. Therefore, the answer is 99.**

**Quiz 13:**

**Question: What is the place value of 3 in the number 7,348? **

**A) Tens B) Hundreds C) Thousands D) Ten-thousands**

**Answer: C) Thousands Explanation: In the number 7,348, 3 is in the thousands place.**

**Quiz 14:**

**Question: Which is the smallest 2-digit odd number?**

** A) 11 B) 12 C) 13 D) 14**

**Answer: A) 11 Explanation: The smallest 2-digit odd number is the one with 1 in the tens place and 1 in the ones place. Therefore, the answer is 11.**

**Quiz 15:**

**Question: Which is the smallest 6-digit number? **

**A) 100000 B) 100001 C) 100002 D) 100003**

**Answer: A) 100000 Explanation: 100000 is the smallest 6-digit number as it has the smallest digit in the hundred thousand places.**

**Quiz 16:**

**Question: What is the sum of the smallest and largest 4-digit numbers?**

** A) 19999 B) 20000 C) 20001 D) 20002**

**Answer: B) 20000 Explanation: The smallest 4-digit number is 1000, and the largest 4-digit number is 9999. Therefore, their sum is **

**1000 + 9999 = 10999**

**Quiz 17:**

**Question: Which is the greatest 3-digit even number? **

**A) 998 B) 997 C) 996 D) 995**

**Answer: A) 998 Explanation: The greatest 3-digit even number is the one with the largest digit in the hundreds and tens places and 8 in the ones place. Therefore, the answer is 998.**

**Quiz 18:**

**Question: What is the difference between the largest and smallest 2-digit numbers? A) 99 B) 98 C) 97 D) 96**

**Answer: B) 98 Explanation: The largest 2-digit number is 99, and the smallest 2-digit number is 10. Therefore, their difference is 99 – 10 = 89.**

**Quiz 19:**

**Question: Which is the smallest 3-digit even number? **

**A) 100 B) 102 C) 104 D) 106**

**Answer: B) 102 Explanation: The smallest 3-digit even number is the one with the smallest digit in the hundreds place and 2 in the ones place. Therefore, the answer is 102.**

**Quiz 20:**

**Question: What is the place value of 9 in the number 45.9872? **

**A) Tens B) Hundreds C) Thousandths D) Ten-thousandths**

**Answer: D) Ten-thousandths Explanation: In the number 45.9872, 9 is in the ten-thousandth place.**

**Quiz 21:**

**Question: Which is the greatest 3-digit number with all its digits different?**

** A) 987 B) 876 C) 765 D) 654**

**Answer: A) 987 Explanation: The greatest 3-digit number with all its digits different is the one with the largest digit in the hundreds place, the next largest digit in the tens place, and the smallest digit in the ones place. Therefore, the answer is 987.**

**Quiz 22:**

**Question: Which is the smallest 4-digit number with all its digits different? **

**A) 1023 B) 1032 C) 1234 D) 1243**

**Answer: A) 1023 Explanation: The smallest 4-digit number with all its digits different is the one with the smallest digit in the thousands place, the next smallest digit in the hundreds place, the next largest digit in the tens place, and the largest digit in the ones place. Therefore, the answer is 1023.**

**Quiz 23:**

**Question: What is the value of the digit 3 in the number 237? **

**A) 3 B) 30 C) 300 D) 3000**

**Answer: A) 3 Explanation: In the number 237, the digit 3 is in the ones place and has a value of 3.**

**Quiz 24:**

**Question: What is the predecessor of 1000?**

** A) 999 B) 1001 C) 1002 D) 1003**

**Answer: A) 999 Explanation: The predecessor of 1000 is the number that comes before it in the number line. Therefore, the predecessor of 1000 is 999.**

**Quiz 25:**

**Question: What is the predecessor of 10001?**

** A) 10000 B) 10002 C) 9999 D) 9998**

**Answer: C) 9999 Explanation: The predecessor of a number is the number that comes before it in the number line. Therefore, the predecessor of 10001 is 10000, which is not among the options. The next smaller number is 9999, which is the correct answer.**

**Quiz 26:**

**Question: What is the successor of 9999? **

**A) 10000 B) 9998 C) 9997 D) 9996**

**Answer: A) 10000 Explanation: The successor of 9999 is the number that comes after it in the number line. Therefore, the successor of 9999 is 10000.**

**Quiz 27:**

**Question: Which is the smallest 5-digit number with all its digits odd? **

**A) 11111 B) 11113 C) 11115 D) 11117**

**Answer: A) 11111 Explanation: The smallest 5-digit number with all its digits odd is the one with 1 in all five digits. Therefore, the answer is 11111.**

**Quiz 28:**

**Question: Which is the greatest 4-digit number with all its digits the same?**

** A) 9999 B) 8888 C) 7777 D) 6666**

**Answer: A) 9999 Explanation: The greatest 4-digit number with all its digits the same is the one with 9 in all four digits. Therefore, the answer is 9999.**

**Quiz 29:**

**Question: What is the sum of the digits in the number 5432?**

** A) 14 B) 15 C) 16 D) 17**

**Answer: C) 16 Explanation: The sum of the digits in the number 5432 is 5 + 4 + 3 + 2 = 14.**

**Quiz 30:**

**Question: What is the difference between the greatest 4-digit number and the smallest 4-digit number? **

**A) 9000 B) 9999 C) 10000 D) 10001**

**Answer: B) 9999 Explanation: The greatest 4-digit number is 9999, and the smallest 4-digit number is 1000. Therefore, their difference is 9999 – 1000 = 8999.**

**(Knowing our Numbers)**

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