Numbers

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.

Numbers

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

Numbers

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.

Numbers

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 _______

Numbers

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