Chapter 1.1 (Mathematics 5th)

# Place value

• Place value of digits up to hundreds of thousands
• Abacus

## Place value of digits up to hundreds of thousands

1. Draw a place value chart up to hundreds of thousands in your exercise book.
2. Fill in the number 623 457 in the place value chart.
 HTh TTh Th H T O
1. What are the place values of digits 6 and 3?
1. Place value of 6 is
2. Place value of 3 is
2. Talk about the place values of the other digits.

### Example 1

What are the place values of digits 2, 8 and 4 in the number 283 497?

##### Steps
1. Draw a place value chart.
2. Fill in the digits in their correct place value positions.

#### Do

 HTh TTh Th H T O 2 8 3 4 9 7

The place value of:

2 is hundreds of thousands.
8 is tens of thousands.
4 is hundreds.​​

## Work to do 1

1. 9 642
 Digit Place value 9 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes 6 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes 4 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes 2 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes
1. 393 423
 Digit Place value 3 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes 9 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes 3 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes 4 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes 2 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes 3 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes
1. 56 372
2. 45 289
3. 985 264
4. 768 925
 HTh TTh Th H T O a) 5 314 b) 98 217 c) 562 349

During a Kenyan premier league match between Gor‑mahia and AFC Leopards, 57 653 fans attended. Find the place value of each digit.

 5 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes 7 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes 6 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes 5 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes 3 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes

## Abacus

1. Make an abacus.
2. Represent the number 12 962 using the abacus.
 TTh Th H T O
1. Talk about the place value of each digit with other groups.

### Example 2

The diagram below shows an incomplete abacus.

Complete the abacus and write down the number represented by the abacus.

##### Steps

Fill the place values of abacus.

#### Do

∴ The number is 210 348.

## Work to do 2

1. 625 437
 Digit Place value 6 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes 2 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes 5 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes 4 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes 3 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes 7 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes
1. 293 681
 Digit Place value 2 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes 9 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes 3 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes 6 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes 8 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes 1 Hundreds of thousandsTens of thousandsThousandsHundredsTensOnes
1. 483 256
∴
2. 124 367
∴
3. 954 632
∴