Question

Write the numbers given in the following place value chart in their decimal forms.

Thousands

$(1000)$

Hundreds

$(100)$

Tens

$(10)$

Ones

$(1)$

Tenths

(\frac{1}{10})

Hundredths

(\frac{1}{100})

Thousandths

(\frac{1}{1000})

0

0

1

2

3

4

5

Accepted Answer

Here are given the digits in the place value chart. We need to write in the given numbers in a decimal form.

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.

So, the given can be represented on a place value chart as,

Thousands Hundreds Tens Ones Decimal point Tenths Hundredths Thousandths

The value of the position of a digit $1000$ $(\frac{1}{10})$ $10$ $(\frac{1}{100})$ $.$ $(\frac{1}{1000})$ or $0.1$ $\frac{1}{100}$ or $0.01$ $3$ or $0.001$

The given digits are written according to their positions. $0$ $0$ $1$ $2$ $.$ $3$ $4$ $5$

Place values of the given digits $0 \times 1000 = 0$ $0 \times 100 = 0$ $1 \times 10 = 10$ $2 \times 1 = 2$ $.$ $3 \times 0.1 = 0.3$ $4 \times 0.01 = 0.04$ $1 \times 0.005 = 0.005$

Therefore, the given number can be written as $0012.345 = 0 + 0 + 10 + 2 + 0.3 + 0.04 + 0.005$

$\Rightarrow 12.345 = 12.345$

Hence, the obtained decimal number is $12.345$ .

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