#### Topic Content:

- Meaning of Place Value
- Worked Examples

### What is Place Value?

Place value is the value of a digit in a number based on its place or position.

Each digit, whole number or decimal number has a place value based on its position.

The value of a digit in the number is the digit multiplied by the place value.

**Example: **9783 . 2465

Sum | ||

9 is in thousands | 9 Ã— 1000 | 9000 |

7 is in hundreds | 7 Ã— 100 | 700 |

8 is in tens | 8 Ã— 10 | 80 |

3 is in units/ones | 3 Ã— 1 | 3 |

2 is in tenths | 2 Ã— \( \frac{1}{10}\) | 0.2 |

4 is in hundredths | 4 Ã— \( \frac{1}{100}\) | 0.04 |

6 is in thousandths | 6 Ã— \( \frac{1}{1000}\) | 0.006 |

5 is in ten thousandths | 5 Ã— \( \frac{1}{10000}\) | 0.0005 |

9783.2465 |

### Rules for Finding Place Value:

Below are the place value rules for the number 9783.2465 above;

### Whole Numbers:

For whole numbers, always start from the decimal point and move to the left.

The first digit to the left of the decimal point is in the units/ones place, i.e. **3 units**.

The second digit to the left of the decimal point is in the tens place, i.e. **8 tens**.

The third digit to the left of the decimal point is in the hundreds place, i.e. **7 hundreds**.

The fourth digit to the left of the decimal point is in the thousands place, i.e. **9 thousands**.

### Decimal Numbers:

For decimal numbers, always start from the decimal point and move to the right. It should be noted that there is no place value like “uniths”. Decimal place values start from tenths place.

The first digit to the right of the decimal point is in the tenths place, i.e. **2 tenths**.

The second digit to the right of the decimal point is in the hundredths place, i.e. **4 hundredths**.

The third digit to the right of the decimal point is in the thousandths place, i.e. **6 thousandths**.

The fourth digit to the right of the decimal point is in the ten-thousandths place, i.e. **5 ten-thousandths**.

Now let’s try some more examples.

### Worked Example 1.1.1:

Give the digits in ones place and tenths place in the number 75.39

**Solution:**

**Step 1:**

7**5**.39

In the given number 75.39, the digit in ones place is 5 as it is the first digit to the left of the decimal point.

**Step 2:**

75.**3**9

The digit in tenths place is 3 as it is the first digit to the right of decimal point.

### Worked Example 1.1.2:

Write down the place values for all the numbers in 9 453 276 . 1847

**Solution:**

9 – Millions

4 – Hundred thousandsÂ

5 â€“ Ten thousandsÂ

3 – ThousandsÂ

2 – HundredsÂ

7 – TensÂ

6 – UnitsÂ

. = *Decimal pointÂ *

1 – TenthsÂ

8 – HundredthsÂ

4 – ThousandthsÂ

7 – Ten thousandths

### Worked Example 1.1.3:

What is the value of 5 in number 31.8752

**Solution:**

3 = Tens

1 = Units

. = *Decimal point*

8 = Tenths

7 = Hundredths **5 = Thousandths **

2 = Ten thousandths

: The value of 5 is thousandths in number 31.8752

### Worked Example 1.1.4:

What is the place value of 9 and 3 in number 97814.060253?

**Solution:**

**a.** 9 in 97814.060253 is ten thousands

**b.** 3 in 97814.060253 is millionths

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