__Objectives:__

At the end of the lesson, the students should be able to:

- Know the number of digits in a given number.
- Know the value of the 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.

When we say whole numbers, we mean numbers that do not have fractions or decimals attached to them.

__Example__

**69** is a whole number.

** 42.05** is not a whole number because it has 0.05 as part of the number.

** 3 ½** is not a whole number because of the ½ attached to it.

The development and use of numbers dates from ancient times and it is still being investigated and expanded by mathematicians today.

__NUMBER OF DIGITS IN A GIVEN NUMBER (Revision)__

In this lesson we will learn how to know the number of digits a particular number should have.

**A given number should have the following number of digits;**

**NOTE; The digits in a number are written in groups of three from right to left.**

__Example __

Write the number of digits in the numeral;

1)Ten million four hundred and fifty-five thousand two hundred and eighty –seven.

2)Six million one hundred and seventy-eight thousand six hundred and eleven.

3)Two hundred million nine hundred and fifty two thousand eight hundred and ten.

__Solution__

1)Ten million four hundred and fifty-five thousand two hundred and eighty –seven should have 8 digits. It is written as 10,455,287.

2)Six million one hundred and seventy-eight thousand six hundred and eleven should have 7 digits. It is written as 6,178,611.

3) Two hundred million nine hundred and fifty two thousand eight hundred and ten has 9 digit and it is written as 200,952,810.

__Place Value__

Place value in mathematics simply means that 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__

Find the place value and the value of the following whole numbers:

i) a) 3,696,312

b) 41,300,960

ii) Write the numbers in words.

__Solution __

i) a)3,696,312

ii) It can be written in words as

Three million, six hundred and ninety six thousand three hundred and twelve.

b) 41,300,960

This number is written in words as **forty one million, three hundred thousand nine hundred and sixty.**

The place value of 4 is **ten million.** The value of the 4 is **40 million or 40,000,000.**

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

The place value of 3 is **hundred** **thousand**. The value of the 3 is **300,000 or 3 hundred thousand.**

The place value of the two 0’s is **ten thousand and thousand**. However, the value of 0 is zero.

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

The place value of the 6 is **ten**. The value of the 6 is 6**0 or 6 tens.**

The place value of the 0 is **units or ones.** The value of the 0 is zero.

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