- Know the meaning of place value.
- Know the value of digits in a given number.
- Know the place value of digits in a given number.
- Know the difference between the value and place value of a given digit in a given number.

Place value in mathematics simply means the place or position of a digit in a number. The place or position of a digit in a number determines its value. If the position or place of the digit changes, its value also changes.

** Example 1:** The place value table below represents 672,154.

**NOTE: NUMBERS ARE GROUPED IN THREES FROM RIGHT TO LEFT.**

The place value of each digit is written above the digit while the value of each digit is written below it. The number is read as six hundred and seventy-two thousand, one hundred and fifty-four.

The place value of 6 is **hundred** **thousand**. The value of the 6 is **600,000 or 6 hundred thousand.**

The place value of 7 is **ten thousand**. The value of the 7 is **70 thousand or 70,000. **

The place value of the 2 is **thousand**. The value of the 2 is **2,000 or 2 thousand.**

The place value of the 1 is **hundred**. The value of the 1 is **100 or 1 hundred.**

The place value of the 5 is **ten**. The value of the 5 is **50 or 5 tens.**

The place value of the 4 is **units or ones**. The value of the 4 is **4 units or 4 ones or 4.**

** Example 2**. 1,436,912

The number is read as: One million four hundred and thirty –six thousand nine hundred and twelve.

The place value of 1 is **million**. The value of the 1 is **1 million or 1,000,000.**

The place value of 4 is **hundred** **thousand**. The value of the 4 is **400,000 or 4 hundred thousand.**

The place value of 3 is **ten thousand**. The value of the 3 is **30 thousand or 30,000. **

The place value of the 6 is **thousand**. The value of the 6 is **6,000 or 6 thousand.**

The place value of the 9 is **hundred**. The value of the 9 is **900 or 9 hundred.**

The place value of the 1 is **ten**. The value of the 1 is **10 or 1 ten.**

The place value of the 2 is **units or ones**. The value of the 2 is **2 units or 2 ones or 2.**

__NOTE:__

**There are two 1’s in the number but their values are different. The first 1 has a value of 1,000,000 while the other has a value of 10. Thus the value of the digit depends on the place or position of the digit.**

** Example 3**. 4,132,796

This number is written in words as four million one hundred and thirty-two thousand one hundred and ninety–six.

The place value of 4 is **million**. The value of the 4 is **4 million or 4,000,000.**

The place value of 1 is **hundred** **thousand**. The value of the 1 is **100,000 or 1 hundred thousand.**

The place value of 3 is **ten thousand**. The value of the 3 is **3 ten thousand or 30 thousand or 30,000. **

The place value of the 2 is **thousand**. The value of the 2 is **2,000 or 2 thousand.**

The place value of the 7 is **hundred**. The value of the 7 is **700 or 7 hundred.**

The place value of the 9 is **ten**. The value of the 9 is **90 or 9 tens.**

The place value of the 6 is **units or ones.** The value of the 6 is **6 units or 6 ones or 6.**

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