CHAPTER 4: PLACE VALUE OF A DIGIT – ARITHMETIC STANDARD II NOTES
Identifying place values
Place values are the values of every digit based on its position, as shown below
Example
You can assign a place value to every digit in a given number, as shown below.
1. 426
| Hundreds | Tens | Ones |
| 4 | 2 |
6 |
Exercise 1
Write the place values of each digit
| Numbers | Hundreds | Tens | Ones |
| 214 | |||
| 98 | |||
| 657 | |||
| 628 | |||
| 999 | |||
| 804 |
Exercise 2
Write the place value of each digit in the following
1. 308 = ________ hundreds, _______ tens, _______ ones.
2. 495 = ________ hundreds, _______ tens, _______ ones.
3. 565 =________ hundreds, _______ tens, _______ ones.
4. 233 = ________ hundreds, _______ tens, _______ ones.
5. 102 = ________ hundreds, _______ tens, _______ ones.
6. 341 = ________ hundreds, _______ tens, _______ ones.
7. 92 = _______ tens, _______ ones.
8. 68 = _______ tens, _______ ones.
9. 887 = ________ hundreds, _______ tens, _______ ones.
What is the place value of 7 in the following numbers?
1. 719 =
2. 973 =
3. 887Â =
4. 170 =
5. 157Â =
6. 176 =
7. 197Â =
8. 27Â =
9. 79 =
10. 337Â =
11. 287Â =
Exercise 2
Write the place value of each digit
1. 324
| Hundreds | Tens | Ones |
2. 402
| Hundreds | Tens | Ones |
3. 247
| Hundreds | Tens | Ones |
4. 810
| Hundreds | Tens | Ones |
5. 179
| Hundreds | Tens | Ones |
6. 185
| Hundreds | Tens | Ones |
7. 306
| Hundreds | Tens | Ones |
8. 93
| Hundreds | Tens | Ones |
9. 210
| Hundreds | Tens | Ones |
10. 500
| Hundreds | Tens | Ones |
Writing numbers in expanded form
Writing numbers in long form
You can write a number in long form if you know the total value of each digit as shown below.
Example 1
The number 381 can be written as:
381= 300+80+1
That is to expand the number.
Example 2
Expand 248
Solution
248= 200+40+8
Example 3
Expand 759
Solution
759= 700+50+9
Exercise
Write each of the following numbers in expanded form:
1. 465= ______ + _______ + _________
2. 290= ______ + _______ + _________
3. 404= ______ + _______ + _________
4. 347= ______ + _______ + _________
5. 13= ______ + _______
6. 602= ______ + _______ + _________
7. 713= ______ + _______ + _________
8. 519= ______ + _______ + _________
9. 802= ______ + _______ + _________
10. 91= _______ + _______
Writing numbers in short form
A number written in expanded form can be written in a short form as a single number.
To write a number in short form, add the numbers in expanded form.
Writing numbers in short form
A number in long form can be written in short form.
Example 1
Write the numbers below in short form:
700+50+2= 752
400+0+5= 405
900+30+6 = 936
70+ 5 = 75
Exercise
Write the following numbers in short form.
1. 300 + 50 + 7= ________
2. 800 + 20 + 9= ________
3. 400 + 0 + 4 = __________
3. 300 + 80 + 2 = ________
4. 90 + 5 = ________
5. 200 + 80 + 5 = ________
6. 100 + 80 + 5 = ________
7. 700 + 60 + 6 = ________
8. 900 + 0 + 8 = _________
9. 500+00+0 = _______
CHAPTER 4: PLACE VALUE OF A DIGIT – ARITHMETIC STANDARD TWO NOTES
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