Numbers of 5, 6, and 7 digits
Numbers of 5, 6, and 7 digits refer to numbers with a specific number of digits.
A number of 5 digits has exactly 5 digits, and can range from 10,000 to 99,999.
A number of 6 digits has exactly 6 digits, and can range from 1,00,000 to 9,99,999.
A number of 7 digits has exactly 7 digits, and can range from 10,00,000 to 99,99,999.
It’s worth noting that numbers can also have fewer digits than 5, and more digits than 7.
For example, a number with 3 digits can range from 100 to 999, while a number with 8 digits can range from 1,00,00,000 to 9,99,99,999.
Indian place value chart
Let us read numbers using an Indian place value chart.
Reading 5-digit numbers
Example: Let’s read the number 87987
87987 = 80000 + 7000 + 900 + 80 + 7
In words: Eighty seven thousand nine hundred eighty seven.
In figures: 87987
Reading 6-digit numbers
Example: Let’s read the number 215678
215678 = 200000 + 10000 + 5000 + 600 + 70 + 8
In words: Two lakhs and fifteen thousand, six hundred and seventy eight.
In figures: 215678
3451982 = 3000000 + 400000 + 50000 + 1000 + 900 + 80 + 2
In words: Thirty four lakhs fifty one thousand nine hundred and eighty two
In figures: 3451982
Reading 7-digit numbers
Let’s read the number 3451982
Digit 3 is in the ten lakhs place It has a value of 3000000
Digit 4 is in the lakhs place It has a value of 400000
Digit 5 is in the ten thousands place It has a value of 50000
Digit 1 is in the thousands place It has a value of 1000
Digit 9 is in the hundreds place It has a value of 900
Digit 8 is in the tens place It has a value of 80
Digit 2 is in the ones place It has a value of 2
3451982 = 3000000 + 400000 + 50000 + 1000 + 900 + 80 + 2
In words: Thirty four lakhs fifty one thousand nine hundred and eighty two
In figures: 3451982
Face value & Place value
Face Value
The face value of a digit is the value of the digit itself at whatever place it may be
For example: In number 36521, the face value of 1 is 1, 2 is 2, 5 is 5 and 6 is 6.
Place Value
The place value of each digit in a number depends upon its place in the number.
For example: In number 52033 the place value of 2 is two thousand.
Expanded form & Short form
Expanded form
Expanded form of a number is writing in it in the form of place value
For example: Write 251204 in expanded form
Solution: 251204 = 200000 + 50000 + 1000 + 200 + 4
Short form
The standard form of a number is a way of expressing the expanded form in figures.
For example: 300000 + 60000 + 9000 + 400 + 50 + 6
Solution: 369456
Successor & Predecessor
Successor
The number which comes just after a given number is called its successor. It is obtained by adding 1 to the given number.
For example: 5000 is the successor of 4999
Predecessor
The number which comes just before a given number is called its predecessor. It is obtained by subtracting 1 from the given number.
For example: 8999 is the predecessor of 9000.
Number line
Jack and Sara are holding a banner to show a number line. The number line shows numbers from left to right in order from smallest to greatest with equal spaces.
You can see that every number that appears on the right is greater than all numbers on its left.
5 is greater than every number that is on its left and 5 is smaller than every number that is on its right
Now, look at the number line below. John skips over 2 spaces to go to 2
Let’s find number 3 on the number line.
Since, number line shows numbers in order with equal spaces in between, the line marked between 2 and 4 shows the number 3
When we have to go to bigger numbers on the number line, we can always skip over equal spaces
Identify number 5 on the following number line.
5 is one less than 6
Count one step backward.
5 is 2 more than 3
Count on two steps forward
Show 15, 20 and 30 on the number line.
To show these numbers we can draw any number line that goes to at least 30.
Let's skip count by 5.
We have represented all three numbers on the number line.
Represent 20, 40 and 50 on the following number line
Identify the value of the number where the butterflies are sitting
Since numbers and the vertical lines on a number line are equally spaced, one line between 0 and 10 means a 5.
The first butterfly is sitting at 15.
The second butterfly is sitting at _______
Comparing and Ordering Numbers
Comparison of numbers refers to the process of determining which of two or more numbers is greater or smaller than the others.
Rule 1 : A number with more digits is bigger than a number with less digits.
For example:
Rule 2 : If the numbers have the same number of digits, we start comparing the digits from the left side. If the leftmost digits are the same, we move to the next digits and continue comparing until we find a difference.
For example:
Ordering numbers
Ordering numbers means arranging a group of numbers from smallest to largest (Ascending order)or largest to smallest (Descending order) .
For example:
Write 657523, 85345, 345313, 93463, 373451 in ascending and descending order.
Ascending order: 85345, 93463, 345313, 373451, 657523
Descending order: 657523, 373451, 345313, 93463, 85345
For example:
Write 743454, 98563, 56456, 2363532, 63463 in ascending and descending order.
Ascending order: 56456, 63463, 98563, 743454, 2363532
Descending order: 2363532, 743454, 98563, 63463, 56456