Question

In each of the following pairs of numbers state which whole number is on the left of the other number. Also write them in proper sign (greater than or less than) between them.
A. 530,503
B. 370,307
C. 98765,56789
D. 9830415,10023001

Answer 1

Hint:As we can see that numbers are not that big except the last option. We know that on a number line the number and its value goes on increasing as we move to its right side. When we have to write the numbers as per the given directions we will write the smaller number first and then the biggest. Talking about the sign the arrow head is towards the smaller numbers and the hands of the arrow are towards the bigger number.

Complete step by step answer:
We decide which number is bigger or smaller depending on the number of digits or the place value of the digits starting from the leftmost number. We will use these instincts to solve the above question.

(A) 530,503
In this case digits are the same so we will check for the place value. Since the number on the hundredth place is the same , let's check for next. The number of ten places is 3 and in others it is 0. So definitely the number with 3 will be the biggest. Thus smaller numbers will lie on the left of the bigger number.
503 is on the left of 530.
And \[503 < 530\].

(B) 370,307
In this case also the digits are the same so we will check for the place value. Since the number on the hundredth place is the same, let's check for next. The number of ten places is 7 and in others it is 0. So definitely the number with 7 will be the biggest.Thus smaller numbers will lie on the left of the bigger number.
307 is on the left of 370.
And \[307 < 370\].

(C) 98765,56789
In this case also the digits are the same so we will check for the place value.Since the number on the ten thousandth place is 9 and is 5 in other numbers then that with 9 is greater. No need to check further.Thus smaller numbers will lie on the left of the bigger number. 56789 is on the left of 98765.
And \[56789 < 98765\]

(D) 9830415,10023001
In this case the number of digits are different. Then one with larger digits will be greater.
Thus 9830415 lies on the left of 10023001.
And \[9830415 < 10023001\]

Note:Note that, on a number line though the numbers are negative as well as positive. But the negative number with greater number place value is actually smaller. And a positive number with greater place value is greater. Like -980 is greater than -999 but +980 is less than +999. The difference is the sign behind the number.