Decimal place value chart are discussed here:

The first place after the decimal is got by dividing the number by **10**; it is called the **tenths place**.

The second place after the decimal is got by dividing the number by **100**; it is called the **hundredths place**.

The third place after the decimal is got by dividing the number by **1000**; it is called the **thousandths place**.

**1. How to write the place value of the digit 45.123?**

The place of 3 in the decimal 45.123 is 3/1000.

The place of 2 in the decimal 45.123 is 2/100

The place of 1 in the decimal 45.123 is 1/10

The place of 5 in the decimal 45.123 is 5

The place of 4 in the decimal 45.123 is 40

**Let us consider the following examples.**

**2. Write the following numbers in the decimal place value chart.****(i)** 1.2**Solution:**

1.2 in the decimal place value chart.

**(ii)** 12.05**Solution:**

12.05 in the decimal place value chart.

**(iii)** 25.453

**Solution:**

25.453 in the decimal place value chart.

**(iv)** 490.7042**Solution:**

490.7042 in the decimal place value chart.

**(v)** 6145.89

6145.89 in the decimal place value chart.**Solution:**

**(vi)** 15671.9**Solution:**

15671.9 in the decimal place value chart.

**3. Write the place value of digit 7 in each of the following
decimals:**

(i) 513.073

The place of 7 in the decimal 513.073 is 7/100 or 7 hundredths.

(ii) 71.234

The place of 7 in the decimal 71.234 is 70 or 7 tens.

Practice Problems on Decimal Place Value Chart:

**1. Identify the place value of the underlined digit in the
given numbers.**

(i) 65.7__1__

(ii) ** 3**08.88

(iii) 716.** 9**27

(iv) 8546.29__3__

(v) ** 4**665.705

**Answers:**

(i) 1 hundredth

(ii) 3 hundreds

(iii) 9 tenths

(iv) 3 thousandths

(v) 4 thousands

**● Decimal.**

**Expanded form of Decimal Fractions.**

**Changing Unlike to Like Decimal Fractions.**

**Comparison of Decimal Fractions.**

**Conversion of a Decimal Fraction into a Fractional Number.**

**Conversion of Fractions to Decimals Numbers.**

**Addition of Decimal Fractions.**

**Problems on Addition of Decimal Fractions**

**Subtraction of Decimal Fractions.**

**Problems on Subtraction of Decimal Fractions**

**Multiplication of a Decimal Numbers.**

**Multiplication of a Decimal by a Decimal.**

**Properties of Multiplication of Decimal Numbers.**

**Problems on Multiplication of Decimal Fractions**

**Division of a Decimal by a Whole Number.**

**Division of Decimal Fractions by Multiples.**

**Division of a Decimal by a Decimal.**

**Division of a whole number by a Decimal.**

**Properties of Division of Decimal Numbers**

**Problems on Division of Decimal Fractions**

**Conversion of fraction to Decimal Fraction.**

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