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 =
2. Discuss the activity and list other hundred thousands.

### 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

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 4 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