Name: Conversion of Decimals to Fractions
Uploaded: 2019-07-19
Duration: 3 min 37 s
Description: In this video, we will learn the concept of converting decimal numbers to fractional values and how they are related to each other.

Question

Write the following as decimals:

One thousand and two hundredths

Accepted Answer

We are given to writing one thousand and two hundredths as a decimal number.

Let us write the given digits in the place value chart. The required decimal number will be the sum of the place values of the given digits.

The place value of a digit in a decimal number is the product of the digit and the value of the position of the digit in the place value chart.

Thousands Hundreds Tens Ones Decimal point Tenths Hundredths Thousandths

The value of the position of a digit $1000$ $100$ $10$ $1$ $.$ $\frac{1}{10}$ or $0.1$ $\frac{1}{100}$ or $0.01$ $\frac{1}{1000}$ or $0.001$

The given digits are written according to their positions $1$ $0$ $0$ $0$ $.$ $0$ $2$

Place values of the given digits $1 \times 1000$ $0 \times 100 = 0$ $0 \times 10 = 0$ $0 \times 1 = 0$ $.$ $0 \times 0.1 = 0$ $2 \times 0.01 = 0.02$

So, the decimal number $=$ $1 \times 1000 + 0 \times 100 + 0 \times 10 + 0 \times 1 + 0 \times 0.1 + 2 \times 0.01$

$= 1000 + 0 + 0 + 0 + 0 + 0.02 = 1000.02$

Therefore, the required decimal number is $1000.02$ .

Write the following as decimals:

One thousand and two hundredths

Important Questions on Decimals

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