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,
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 ________.
ANSWERS
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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