Chapter 1.1 (Mathematics 5)

Place value and total value of digits up to hundreds of thousands

Place value of digits up to hundreds of thousands

In pairs:

  1. Complete the pattern shown:
    9 + 1 = 
    99 + 1 = 
    999 + 1 = 
    9 999 ​+ 1 = 
    99 999 + 1 = 

Note

The number 99 999 + 1 = 100 000

The number is read as one hundred thousand.

The place value of each digit in 100 000 is shown in the chart.

The place value of each digit in 100 000
  1. Discuss the activity and list other hundred thousands.

In pairs:

  1. Write three 6-digit numbers.
  2. Identify the place value of each digit in each number.
  3. Discuss the results and share with other groups.

Exercise A

Number

Hundred Thou­sands

Ten Thou­sands

Thou­sands

Hund­reds

Tens

Ones

4 236

18 093

256 409

500 000

901 152

  1. 462 
  2. 98 024 
  3. 256 409 
  4. 109 541 

A3

Represent each of the following numbers on an abacus:

  1. 253 918
  2. 640 273
  3. 948 750
  • hundred thousands
  • ten thousands
  • thousands
  • hundreds
  • tens
  • ones
  • hundred thousands
  • ten thousands
  • thousands
  • hundreds
  • tens
  • ones
  • hundred thousands
  • ten thousands
  • thousands
  • hundreds
  • tens
  • ones

Digital Time

Place value of numbers

Total value of digits up to hundreds of thousands

In pairs:

  1. Write any 6-digit number. 
  2. Represent the number on a place value chart.
  3. Read the number on the chart, relating each digit to its place value.
  4. Write the total value of each digit.
  5. Discuss the results and share with other groups.

Example 1

The population of a county was 495 128.

How many people were represented by digits and 2 in the number?

Hundred Thousands

Ten Thousands

Thousands

Hundreds

Tens

Ones

4

9

5

1

2

8

The place value of digit 4 is Hundred Thousands.
​The total value of digit 4 is 4 × 100 000 = 400 000.

The place value of digit 2 is tens.
​The total value of digit 2 is 2 × 10 = 20.

The number of people represented by digit 4 is 400 000.
​The number of people represented by digit 2 is 20.

Exercise B

  • ​The total value of digit 2 is .
  • ​The total value of digit 3 is .
  • ​The total value of digit 6 is .
  • ​The total value of digit 9 is .
  • ​The total value of digit 3 is .
  • ​The total value of digit 5 is .
  1. 4 568
    The total value of the digit in bold is .
  2. 57 194
    The total value of the digit in bold is .
  3. 721 389
    The total value of the digit in bold is .
  4. 956 312
    The total value of the digit in bold is .
  • 6
  • 600
  • 6 000
  • 60 000
  • 600 000
  • 6 000 000
  1. 4 
  2. 8 
  3. 2 

 pupils are represented by digit 9.

Digital Time

Total value of digits in a number