Grade 6 Math Unit 2 Whole Numbers (25 Marks)

The whole number 0 is not considered a natural number because natural numbers start from 1 and do not include 0. Natural numbers are the set of positive integers, while whole numbers include 0 as well. Therefore, 0 is the correct answer as it is the only whole number that is not a natural number.

The smallest natural number is 1 because natural numbers start from 1 and continue indefinitely.

The sum of any three odd numbers will always be an odd number. Therefore, the correct answer is 9, which is an odd number.

The predecessor of a number is the number that comes before it. In this case, the predecessor of 2,90,099 would be 2,90,098 because it is the number that comes before it.

The given expression represents the product of four numbers: 25, 8, 125, and 4. When these numbers are multiplied together, the result is 1,00,000.

The term "10 Lakh" refers to a numerical value of 1 million.

To find how many numbers are between 102 and 211, we need to count the numbers starting from 103 up to 210.

Identify the range: The numbers in question start from 103 and go up to 210.

Subtract 103 from 210, then add 1 to include both endpoints in the count.

So, the number of integers is: 210 - 103 + 1 = 108.

There are 108 numbers between 102 and 211.

The general rule for estimating sums is to round each number to the nearest hundred or ten to simplify mental math. Here, 830 rounds to 800 and 976 to 1000. Adding those gives an estimated total of 1800. The actual sum is 1806, which is very close to the estimate. This technique helps in quickly checking reasonableness without needing exact calculation. It’s especially useful for budgeting, shopping, or time management where precision isn’t critical but speed and accuracy are still valued.

The Roman numeral for 76 is LXXVI. In Roman numerals, L represents 50, X represents 10, and V represents 5. When these symbols are combined, LXX represents 70, and adding VI (6) to it gives us 76. Therefore, LXXVI is the correct Roman numeral representation for 76.

The Hindu-Arabic numeral system is the most widely used numeral system today, and it uses ten digits (0-9) to represent numbers. In this system, C represents 100 and XXV represents 25. Therefore, when we combine these two numbers, we get 125, which is the Hindu-Arabic numeral representation of CXXV.

In the Indian system, 100 thousand is known as "1 lakh." This term is commonly used in India to represent the number 100,000.

The additive identity for the whole numbers is the number that, when added to any other whole number, does not change its value. In this case, the correct answer is 0 because adding 0 to any whole number will result in the same whole number.

Every day, 12,500 copies of the newspaper are printed, and each copy has 15 pages. To find the total number of pages printed every day, we can multiply the number of copies by the number of pages per copy: 12,500 * 15 = 187,500. Therefore, the correct answer is 1,87,500.

The given statement demonstrates the distributive property of multiplication over addition. This property states that when multiplying a number by the sum of two other numbers, the result is equal to the sum of the products of the number multiplied by each of the other numbers individually. In this case, multiplying 6 by the sum of 7 and 3 is equal to multiplying 6 by 7 and adding it to the product of 6 and 3. Therefore, multiplication is distributive over addition.

The multiplicative identity of any set of numbers is the number that, when multiplied by any other number in the set, gives the same number as the result. In the case of whole numbers, the multiplicative identity is 1. This means that when any whole number is multiplied by 1, the result is the original number.

The predecessor of a natural number is the number that comes before it. In the case of 1, there is no number that comes before it, so it does not have a predecessor. Therefore, the natural number whose predecessor does not exist is 1.

The estimated sum of 13,804 and 3,777 is 18,000. This estimation is based on the general rule of rounding numbers to the nearest ten thousand. Since the thousands place in both numbers is less than 5, we round down to the nearest ten thousand, which gives us an estimated sum of 18,000.

The Roman numeral for 99 is XCIX. In Roman numerals, X represents 10, C represents 100, and I represents 1. The numeral XC represents 90, which is obtained by subtracting 10 (X) from 100 (C). The numeral IX represents 9, which is obtained by subtracting 1 (I) from 10 (X). Therefore, when XC and IX are combined, we get XCIX, which represents the number 99 in Roman numerals.

The van cannot carry beyond 1000kg. Each box weighs 5kg 500gm, which is equivalent to 5.5kg. To find out how many boxes can be loaded, we divide the maximum weight the van can carry (1000kg) by the weight of each box (5.5kg). The calculation is 1000 / 5.5 = 181.81. Since we cannot have a fraction of a box, the maximum number of boxes that can be loaded is 181. Therefore, the correct answer is 181 BOXES.

The correct answer is 7500 because when you subtract 491 from 8325, you get 7834. Among the given options, 7500 is the closest number to 7834.

The place value of a digit refers to the position it holds in a number, while the face value refers to the actual value of the digit. In the number 45321, the digit 2 is in the ten-thousands place, which has a place value of 20, and its face value is 2. The difference between the place value and face value of 2 is therefore 20 - 2 = 18.

To estimate the product of 758 and 151 by rounding to the nearest hundred, you can round each number to the nearest hundred and then multiply:

Round 758 to the nearest hundred: 758 is closer to 800 when rounded to the nearest hundred.

Round 151 to the nearest hundred: 151 is closer to 200 when rounded to the nearest hundred.

Now, multiply the rounded numbers:

800 x 200 = 160,000

So, the estimated product of 758 and 151 when rounded to the nearest hundred is approximately 160,000.

Division by zero is undefined in mathematics. It does not result in any specific value or number. It is not possible to divide any number by zero, and therefore the result is not a number itself.

To find the unknown number when given the product and one factor, divide the product by the known factor. In this case, the product is 43,190 and one of the numbers is 1,234. Dividing 43,190 by 1,234 gives 35. This confirms that 1,234 multiplied by 35 equals 43,190. The division is exact, meaning there’s no remainder, so the result is valid. This is a classic reverse multiplication problem, where understanding the inverse relationship between multiplication and division helps find the correct answer efficiently.