# NCERT Solutions for Class 7 Maths Chapter 2 Exercise 2.6

NCERT Solutions for Class 7 Maths Chapter 2 Exercise 2.6 (Ex. 2.6) Fractions and Decimals free to use or download for CBSE academic session 2020-21. All the contents and solution are updated on the basis of latest CBSE Books issued on 2020-2021.

In class 7 math exercise 2.6 all the questions are based on multiplication of decimal numbers. Word problems given at the end of exercise also focused on multiplication of decimals.## Class 7 Maths Chapter 2 Exercise 2.6 Solution

Class: 7 | Mathematics |

Chapter: 2 | Fractions and Decimals |

Exercise: 2.6 | Hindi and English Medium Solution |

### CBSE NCERT Class 7 Maths Chapter 2 Exercise 2.6 Solution in Hindi and English Medium

### Class 7 Maths Chapter 2 Exercise 2.6 Solution in Videos

##### Method of Converting a Decimal into a Fraction

The steps to convert decimal number into fraction:

Step 1. Write the given decimal without the decimal point as the numerator of the fraction.

Step 2. In the denominator, write 1 followed by as many zeros as there are decimal places in the given decimal.

Step 3. Reduce the above fraction to the simplest form.

##### Convert each of the following decimals into a fraction in its simplest form: (i) 0.5 (ii) 0.24 (iii) 0.08 (iv) 0.225

We have:

(i) 0.5 = 5/10 = 1/2

(ii) 0.24 = 24/100 = 6/25

(iii) 0.08 = 8/100 = 2/25

(iv) 0.225 = 225/1000 = 9/40

##### Converting a Fraction into a Decimal

The steps to convert a fractional number into decimal:

Step 1. Divide the numerator by the denominator till a nonzero remainder is obtained.

Step 2. Put a decimal point in the dividend as well as the quotient.

Step 3. Put a zero on the right of the decimal point in the dividend as well as on the right of the remainder.

Step 4. Divide again just as we do in whole numbers.

Step 5. Repeat steps 3 and 4, till the remainder is zero.

##### Convert each of the following into a decimal fraction. (i) 27/4 (ii) 2(5/8)

On dividing, we get:

(i) 27/4

(27.00)/4 = 6.75

(ii) 2(5/8) = 21/8 = (21.0000)/8 = 2.625

#### Addition and Subtraction of Decimals

##### Addition of Decimals

The steps to add decimal numbers:

Step 1. Convert the given decimals into like decimals.

Step 2. Write the addends one under the other in column form, keeping the decimal points of all the addends in the same column and the digits of the same place in the same column.

Step 3. Add as in the case of whole numbers.

Step 4. In the sum, put the decimal point directly under decimal points in the addends.

##### Add 36.4, 273.06, 9.397 and 68.

Converting the given decimals into like decimals, we get:

36.400, 273.060, 9.397 and 68.000.

Writing these decimals in column form and adding, we get:

36.400

273.060

9.397

68.000

386.857

Hence, the sum of the given decimals is 386.857.

##### Subtraction of Decimals

The steps to subtract decimal numbers:

Step 1. Convert the given decimals into like decimals.

Step 2. Write the smaller number under the larger one in column form in such a way that the decimal points of both the numbers are in the same column and the digits of the same place lie in the same column.

Step 3. Subtract as we do in case of whole numbers.

Step 4. In the difference, put the decimal point directly under the decimal points of the given numbers.

##### Subtract 47.56 from 83.2.

Converting the given decimals into like decimals, we get 47. 56 and 83.20. Writing them in column form with the larger one at the top and subtracting, we get:

83. 20

– 47.56

35.64

Hence, (83.20 – 47.56) = 35.64.

##### What is important to remember when adding and subtracting decimals?

The most important thing to remember when adding and subtracting decimals is lining up the decimal point. And making sure when you regroup you add the number and add it to the original total.

##### How do you add a decimal to a whole number?

To add decimal numbers:

(i) Put the numbers in a vertical column, aligning the decimal points.

(ii) Add each column of digits, starting on the right and working left.

(iii) Place the decimal point in the answer directly below the decimal points in the terms.

##### How do you write a decimal in words?

To write a decimal in word form, follow these steps:

(i) Let’s try it with 2.37.

(ii)First, write the whole-number part.

(iii) Write “and” for the decimal point.

(iv) Next, write the word form of the digits in the decimal part.

(v) Finally, end with the place value of the last digit.