Question

Write each of the following as decimals:
(a) Seven-tenth
(b) Two tens and nine-tenths
(c) Fourteen point six
(d) Two hundred and two ones.
(e) Six hundred point eight.

Answer 1

Hint: Here we will consider all the given values and we will convert them into decimal form. We will first write the given expression in numerical form and then convert it into the decimal form. The expression which has ‘and’ in them, we will use addition in that. The term point refers to the decimal in the given expression.

Complete step-by-step answer:
In this, the given expression is seven-tenths.
We will first convert the expression on numerical form.
Seven-tenths \[ = \dfrac{7}{{10}}\]
Now dividing 7 by 10, we get
\[ \Rightarrow \dfrac{7}{{10}} = 0.7\]
Hence, the Seven-tenths can be written in decimal form as \[0.7\].
In this, the expression is two tens and nine-tenths
We will first convert the expression on numerical form.
Two tens and nine-tenths \[ = 2 \times 10 + \dfrac{9}{{10}}\]
Now dividing 9 by 10 and adding the terms, we get
\[ \Rightarrow 2 \times 10 + \dfrac{9}{{10}} = 20 + 0.9\]
On adding the numbers, we get
\[ \Rightarrow 20 + 0.9 = 20.9\]
Hence, the two tens and nine-tenths can written in decimal form as \[20.9\]
The given expression is fourteen point six.
Now, we will convert it into numerical value.
Fourteen point six \[ = 14.6\]
As we can see that it is already in decimal form. Therefore, fourteen point six can be written as \[14.6\].
In this, the expression is two hundred and two ones
We will first convert the expression on numerical form.
Two hundred and two ones \[ = 2 \times 100 + 2 \times 1\]
On adding the numbers, we get
\[ \Rightarrow 200 + 2 = 202\]
We can see that it is a whole number and there is no decimal in the expression.
Hence, the two hundred and two ones can written in decimal form as \[202\]
The given expression is Six hundred point eight.
Now, we will convert it into a numerical value.
Six hundred point eight \[ = 600.8\]
As we can see that it is already in decimal form. Therefore, fourteen point six can be written as \[600.8\].

Note: We have converted the given expression in decimal form by first converting them into numerical form. A decimal number is a type of number consisting of both whole number and fractional part and are separated by a point called a decimal point. Wherever tens are used, that means to multiply the given number by 10, and also if hundreds are used, we need to multiply the number by 100. If Tenths is used that means we need to divide the number by 10.