Question

Arrange the numbers 0, – 7, 3, – 10 in ascending order.

Answer 1

Hint: Draw a number line and mark all the points on it. The points on the leftmost side would be the smallest and as we go right, the numbers will keep on increasing.

Complete step-by-step solution -
Here, we have to arrange the numbers 0, – 7, 3, – 10 in ascending order. Before proceeding with the question, let us talk about the basic terms.
Ascending Order: The numbers or entities that are arranged from the smallest value to the biggest value, then that order of entities are called as ascending order. For example, 0, 1, 5, 7, 9, 11, these numbers are in ascending order.
Descending Order: The numbers or entities that are arranged from the biggest value to the smallest value, then that order of entities are called as descending order. For example, 11, 9, 7, 5, 1, 0, these numbers are in descending order.
Number Line: Number line is the pictorial representation of numbers on a straight line. It’s referring to comparing and ordering the numbers. It can be used to represent any real numbers. Zero is in the middle of the number line. All the positive numbers are at the right side of zero whereas negative numbers are at the left side of zero. As we move to the left side on it, the number decreases, whereas when we move to the right side, the number increases. For example, 1 is greater than – 2. We will represent this in the number line.

Now, let us consider our question. First of all, let us mark the points 0, – 7, 3, and – 10 on the number line.

As, we know that when we go from right to left, the value of the number decreases and as we go from left to right, the value of the number increases on the number line. Hence, the smallest number among 4 numbers is – 10 and the largest number is 3. So, we get the order of numbers as – 10 < – 7 < 0 < 3. Therefore, we can write the given 4 numbers in ascending order as – 10, – 7, 0, 3.

Note: In these types of questions, students often get confused between ascending and descending order, so they can remember it by finding some short form for it like ASB and DBS. ASB means Ascending: Small to Big and DBS means Descending: Big to Small. Also, students must remember that in negative numbers, numbers of higher magnitude are smaller than the number of the smaller magnitude. For example, – 1 > – 150 whereas 150 > 1.