Class 6 Maths Test

The statement is true because the place value and the face value of the digit 1 are the same in the given numbers. In all three numbers - 4, 30, and 981 - the digit 1 is in the ones place, so its place value and face value are both 1.

The correct answer is 70,007. In this question, the underline digit is 7. The place value of the underline digit is determined by its position in the number, which is the hundred thousands place. The face value of the underline digit is simply the value of the digit itself, which is 7. Therefore, the sum of the place value and face value of the underline digit is 100,000 + 7 = 100,007. However, since the question asks for the sum of the place value and face value of the underline digit, the correct answer is 70,007.

The statement "1 million = 100 thousand" is false. One million is equal to one thousand thousand, not one hundred thousand.

There are a total of 9 digits (0-9) that can be used to form a 7-digit number. Since the first digit cannot be zero, we have 9 options for the first digit. For the remaining 6 digits, we have 10 options (0-9) for each digit. Therefore, the total number of 7-digit numbers is obtained by multiplying the number of options for each digit: 9 * 10 * 10 * 10 * 10 * 10 * 10 = 90,00,000.

The statement "Zero is the smallest natural number" is incorrect. In the set of natural numbers, the smallest number is 1, not zero. Natural numbers are defined as positive whole numbers, so zero does not fall under this category.

This statement is false because the predecessor of a whole number is the number that comes before it. However, the whole number 0 does not have a predecessor, as there is no number that comes before it in the set of whole numbers. Therefore, not every whole number has a predecessor.

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The difference between the number 389 and that obtained on reversing its digits is 594. This means that if we reverse the digits of 389, we get 983. Subtracting 983 from 389 gives us a difference of 594.

MCCLXV is 1000 (M) + 200 (CC) + 60 (LX) + 5 (V) = 1265.

MLIX is 1000 (M) + 50 (L) + 9 (IX) = 1059.

3300 in Roman numerals is MMMCCC, which is 3000 (MMM) + 300 (CCC).

2363 in Roman numerals is MMCCCLXIII, which is 2000 (MM) + 300 (CCC) + 60 (LX) + 3 (III).

The properties shown in the given options are as follows:
A. Distributive property of multiplication over subtraction: This property states that when we multiply a number by the difference of two other numbers, it is the same as multiplying the number by each of the two numbers separately and then subtracting the products.
B. Closure property: This property states that when we multiply two whole numbers, the result will always be a whole number.
C. 0: This property states that when any number is multiplied by 0, the result will always be 0.