Decimals Class 7 Worksheets

# Decimals Class 7 Worksheets

Decimals Class 7 Worksheets play a very important role in strengthening the maths concepts.

## Decimals Class 7 Worksheet 1 with Answers

1. Match the following:

a. Sum of 3.05, 2.92 and 5.35 is                                         i. 6.383

b. 7/10 + 13/1000 + 567/100 expressed as decimal           ii. 1.088

c. Sum of 7.89 and 4.6 subtracted from 13.578                  iii. 11.32

d. 41.325 – 31.426 – 7.325 is equal to                                   iv.  30,000

e. If 0.25 parts of an amount is  7500, the total amount is     v. 2.574

2. Choose the correct option.

a. 0.345 when expressed as a fraction is equal to

i. 19/55

ii. 69/200

iii. 3 45/99

iv. 345/9

b. 0.000218754 rounded up to 4 decimal places is equal to

i. 0.0002

ii. 0.00022

iii. 0.0002188

iv. 0.000219

c. 3.325 subtracted from 5.04 is equal to

i. 2.715

ii. 1.514

iii. 74.96

iv. 1.715

d. Product of 0.9975 and 0.35 is

i. 0.349125

ii. 34.9125

iii. 349.125

iv. 349125

3. Fill in the blanks.

a. 24.0381 × 0.7 is equal to ___________.

b. 4324 ÷ 25 is equal to ___________.

c. 3.5986 correct to 3 decimal places is ___________.

d. ___________ must be subtracted from 75.285 to get the result 48.0794.

e. 38/1000 + 425/10 – 28/100 is equal to ___________.

4. Mr. Sinha gave 0.375 of his estate to his wife, 0.35 part to his son and 0.25 part to his daughter. If the total amount of his estate is  25,00,000, what amount of the estate is still left with Mr. Sinha?

5. Simplify each of the following:

a. 10.75 + 28.5 × 2.5

b. 15.365 × 100 + 17.51 – 18.25

6. Find the sum of 137.9, 3725.59, 19.8275 and 8.87.

7. Find the HCF of two numbers 1.8 and 1.152 whose LCM is 1.2.

8. What must be added to 42.05 to make it a perfect square?

9. Difference of two numbers is 8.256. If the smaller number is 3.875, find the larger number.

10. Express each of the following decimals as terminating or non-terminating.

a. 9/8

b. 20/9

c. 13/8

## Decimals Class 7 Worksheet 2 with Answers

1. State whether the following statements are true or false.

a. The decimal representation of 1/9 is 0.1.

b. 37/8 when expressed as a decimal is 3.875.

c. 0.8 times A’s age is equal to B’s age. If sum of their ages is 64, then A is 25 years old and B’s age is 15 years.

d. 31.175 divided by 5 is equal to 6.235.

e. If a man runs 13.30 km in 0.7 hours, then his speed is equal to 19 km/hr.

2. Choose the correct option.

a. Fractional representation of 3.7 is

i. 31/7

ii. 37/9

iii. 377/100

iv. 37/10

b. The value of 78.6758 when rounded off correct to three decimal places is equal to

i. 78.7

ii. 78.78

iii. 78.676

iv. 78.675

c. The greatest number among the following decimal numbers 3.098, 3.08, 3.21, 3.3, 3.16 is

i. 3.3

ii. 3.21

iii. 3.16

iv. 3.098

d. Sum of 4.679, 0.025, 1.4 and 2.62 is

i. 8.724

ii. 87.24

iii. 6.274

iv. 9.642

3. Fill in the blanks.

a. 16.3868 when rounded off to two decimal places is equal to ___________.

b. 1.63942 when rounded off to three decimal places is equal to ___________.

c. 8.5 divided by 0.25 is equal to ___________.

d. Ruchi cuts 5 lengths of 0.45 m each and 10 lengths of 1.34 m each from a string. The total length of the string is equal to ___________.

4. On dividing a number by 1.2, the quotient is 2.56 and the remainder is 0.0287. Find the number.

5. What must be multiplied by 2.4 to get 3?

6. Simplify each of the following:

a.  14.52 × 2.5 – 11.25 × (6.25 – 4.91)

b. 0.14 of (0.102 – 0.04) + 0.35 × 0.5

c. 655.655 + 65.65 – 0.655 – 9.025

7. An estate is divided among three sons of a proprietor as follows: 0.2 part to the eldest son, 0.12 to the second son and 0.65 to the younger son. If the value of the estate is  80000 and if the remaining part is given to charity, find the amount of charity.

8. Find the value of 45.375 + 11.389 – 7.347 – 27.729.

9. Crossword Puzzle

Across

2. 7.5479 and 564.9087 are two ________ decimals.

4. To change fraction to decimal, divide the numerator by ________.

5. When 629 is divided by 125, the quotient is a ________ decimal.

9. Numbers of the form a/b, where b ≠ 0 are called ________.

10. The rule followed while simplifying the expressions involving fraction is ________.

Down

1. 837/8000 is an example of a ________ fraction.

3. The total number of digits present in the number except the zeroes preceding the first numeral are called ________ digits.

6. Fractions representing the same value are called ________ fractions.

7. Fractions having numerators that are greater than or equal to their denominators are known as ________ fraction.

8. The part to the left of the decimal point is called the ________ number part.

11. A fraction is in lowest term when the HCF of its numerator and denominator is ________.

Worksheet 1

1. a. iii          b. i

c. ii            d. v

e. iv

2. a. ii          b. i

c. iv         d. i

3. a. 16.82667

b. 172.96      c. 3.599

d. 27.2056    e. 42.258

4. ₹ 62,500

5. a. 82        b. 1535.76

6. 3892.1875

7. 1.728       8. 0.2

9. 12.131

10. a. 1.125; Terminating

b. 2.222222…. Non-terminating

c. 1.625; Terminating

Worksheet 2

1. a. False       b. True

c. False       d. True

e. True

2. a. iv        b. iii

c. i          d. i

3. a. 16.39       b. 1.639

c. 34             d. 15.65 m

4. 3.1007

5. 1.25

6. a. 21.225     b. 0.18368

c. 711.625

7. ₹ 2400

8. 21.688

9. Across

2. like

4. denominator

5. terminating

9. fractions

10. BODMAS

Down

1. vulgar

3. significant

6. equivalent

7. improper

8. whole

11. one

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