Whole Numbers Test - 7

From the given options we notice that:

77 = 7 x 11.

99 = 9 x 11.

Also,

440 cannot be a square number because there is only one zero at the end.

Hence we are left with 361.

Now if we notice:
there is a 1 at the the end:

Hence:

9 x 9 = 81.

or 19 x 19 = 361.

Hence 361 can be represented on a square grid.

Closure property is the process for a closed set. When two numbers perform an operation and that operation produces different set of numbers, then its operation is not closed under closure property.
According to closure property, the positive integers are closed under addition and multiplication, but not under subtraction.

For example:
1 + 2 = 3, which is a positive integer.
1 - 2 = -1; which is not a positive integer, even though both 1 and 2 are positive integers.

(-144) and (-54) are both negative integers. We take the sum of their numerical values and put the negative sign.

144
+ 54
198

(-144) + (-54) = -(144 + 54) = -198
-198 is a negative integer.
Closure property of integers under addition is true.

Place value of 7 in 5,87,154. 91 = 7,000
Place value of 7 in 7,219.54 = 7,000
So, (?) is replaced by (=) because 7,000 = 7,000

Multiplicative identity means that you can multiply 1 to any number and it keeps its identity the same and the number stays the same.

25 × 1 = 25

1. The predecessor of a whole number is one less than the given number. (Correct)
2. The whole number 0 does not have any predecessor. (Correct)
3. The successor of a whole number is the number obtained by adding 2 to it. (Incorrect - The successor of a whole number is the number obtained by adding 1 to it is the right statement.)

Predecessor means before number (99,999 - 1) = 99,998

Factors are the numbers that we can multiply together to get another number.

Example: 2 and 3 are factors of 6, because 2 × 3 = 6.
In this example, take 2 or 3 equal to 'z' and 6 equal to 'y'.

Now, 'y' divided by 'z' means 6 divided by 2 or 3.
When 6 is divided by 2 or 3, then 6 will be completely divisible by 2 or 3 and the remainder will be zero.

Therefore, when a number 'z' is a factor of a number 'y', then 'y' divided by 'z' gives the remainder 'zero'.

All the natural numbers along with zero are called whole numbers.

When we count to the right of 127 up to 159 on the number line, we find that there are 31 whole numbers between 127 and 159 (we do not include 127 and 159).
Therefore, 31 is the correct answer.

(1) 13 - 7 + 29 = 35
(2) 5 - 13 + 19 = 11
(3) 29 - 13 + 7 = 23 (Correct)
(4) 37 - 15 + 18 = 40