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Class 7 Mathematics Chapter 3 Worksheet: A Peek Beyond the Point

Updated:7 Mins Read

Lets not go through the worksheet for a new chapter A Peek Beyond the Point. This is chapter 3 from NCERT book that is followed by students of the CBSE schools. You will work with tenths, hundredths, and thousandths, and use them in measurement, money, and operations. The chapter also connects decimals to conversions like mm – cm, cm – m, g – kg, and paise – rupees.

Class 7 Mathematics – A Peek Beyond the Point (Decimals) Worksheet

A. Place Value Beyond Ones

  1. Fill in the blanks:

    1. _______ thousandths make 1 unit.
    2. _______ thousandths make 1 tenth.
    3. _______ thousandths make 1 hundredth.
    4. _______ tenths make 1 ten.
    5. _______ hundredths make 1 ten.
  2. Write in decimal form:

    1. 7 ones, 0 tenths, 5 hundredths
    2. 3 tens, 4 tenths, 2 hundredths
    3. 12 ones, 9 tenths, 0 hundredths, 8 thousandths
  3. Expand the number 42.507 in place value form (as a sum using hundreds/tens/ones/tenths/hundredths/thousandths).
  4. Write each number in words (two ways are acceptable: “point” form or “hundredths/thousandths” form):

    1. 15.03
    2. 0.254
    3. 9.08

B. Conversions Using Decimals

  1. Convert grams to kilograms:

    1. 465 g = _______ kg
    2. 68 g = _______ kg
    3. 1560 g = _______ kg
  2. Convert kilograms to grams:

    1. 0.56 kg = _______ g
    2. 2.5 kg = _______ g
    3. 0.007 kg = _______ g
  3. Convert mm ↔ cm:

    1. 70 mm = _______ cm
    2. _______ mm = 0.9 cm
    3. 134 mm = _______ cm
    4. _______ mm = 203.6 cm
  4. Convert cm ↔ m:

    1. 36 cm = _______ m
    2. 50 cm = _______ m
    3. _______ cm = 0.89 m
    4. 4 cm = _______ m
    5. 325 cm = _______ m
    6. _______ cm = 2.07 m
  5. Answer without heavy calculation:

    1. How many mm are there in 1 m?
    2. How many mm are there in 1 km?

C. Money Decimals (Rupees and Paise)

  1. Travel insurance costs 45 paise per passenger.

    1. Write 45 paise in rupees.
    2. If 1,00,000 passengers opt in a day, what is the total amount collected?

D. Comparing and Ordering Decimals

  1. Put the correct symbol (<, >, =):

    1. 0.010 ____ 0.1
    2. 0.09 ____ 0.100
    3. 1.005 ____ 1.05
    4. 2.3 ____ 2.30
    5. 2.30 ____ 2.300
  2. Arrange in ascending order:

    3.06, 3.6, 3.600, 3.006, 3.60
  3. Between 5.2 and 5.3, which number is closest to 5.26?

    5.27, 5.205, 5.25

E. Addition and Subtraction of Decimals

  1. Find the sums:

    1. 3.4 + 0.03 = _______
    2. 9.57 + 2.13 = _______
    3. 15.64 + 14.36 = _______
  2. Find the differences:

    1. 7.07 − 4.04 = _______
    2. 11.63 − 0.99 = _______
  3. A ribbon is 1.25 m long. You cut off 0.37 m.

    How much ribbon is left?
  4. Add the weights:

    2.5 kg + 0.68 kg + 0.254 kg = _______ kg
  5. A shop bill is ₹125.75 and another bill is ₹84.50.

    1. Total amount = _______
    2. If you pay ₹500, change you get = _______

F. Fractions to Decimals and a Smart Puzzle

  1. Write each fraction in decimal form:

    1. 3/4
    2. 1/5
    3. 3/2
    4. 4/5
  2. Use digits 0–9 without repeating in the boxes to make the sum exactly 10.50:

    □□.□□ + □□.□□ = 10.50

    Write one correct filling.

Answer Key with Hints

A. Place Value Beyond Ones

    • Answer: (a) 1000 (b) 100 (c) 10 (d) 100 (e) 1000
    • Hint: 1 unit = 10 tenths = 100 hundredths = 1000 thousandths. So scale up or down by powers of 10.
    • Answer: (a) 7.05 (b) 30.42 (c) 12.908
    • Hint: Ones go before the decimal point. Tenths/hundredths/thousandths go after it in that order.
    • Answer: 42.507 = 4 tens + 2 ones + 5 tenths + 0 hundredths + 7 thousandths = 40 + 2 + 0.5 + 0.007
    • Hint: Write each digit with its place value: tens, ones, tenths, hundredths, thousandths.
    • Answer:
      1. 15.03 = “Fifteen point zero three” OR “Fifteen and three hundredths”
      2. 0.254 = “Zero point two five four” OR “Two hundred fifty-four thousandths”
      3. 9.08 = “Nine point zero eight” OR “Nine and eight hundredths”
    • Hint: After the decimal point, read digit-by-digit (point form) or treat the last place as a fraction (hundredths/thousandths).

B. Conversions Using Decimals

    • Answer: (a) 0.465 kg (b) 0.068 kg (c) 1.560 kg
    • Hint: Since 1 kg = 1000 g, divide grams by 1000 (move decimal 3 places left).
    • Answer: (a) 560 g (b) 2500 g (c) 7 g
    • Hint: Multiply kilograms by 1000 (move decimal 3 places right).
    • Answer: (a) 7.0 cm (b) 9 mm (c) 13.4 cm (d) 2036 mm
    • Hint: 10 mm = 1 cm, so mm → cm divide by 10, and cm → mm multiply by 10.
    • Answer: (a) 0.36 m (b) 0.50 m (c) 89 cm (d) 0.04 m (e) 3.25 m (f) 207 cm
    • Hint: 1 m = 100 cm. cm → m divide by 100; m → cm multiply by 100.
    • Answer: (a) 1000 mm (b) 10,00,000 mm
    • Hint: 1 m = 100 cm and 1 cm = 10 mm, so 1 m = 1000 mm. Then 1 km = 1000 m, so multiply by 1000 again.

C. Money Decimals (Rupees and Paise)

    • Answer:
      1. 45 paise = ₹0.45
      2. Total = 1,00,000 × 0.45 = ₹45,000
    • Hint: 100 paise = ₹1, so divide paise by 100 to get rupees, then multiply by number of passengers.

D. Comparing and Ordering Decimals

    • Answer: (a) 0.010 < 0.1 (b) 0.09 < 0.100 (c) 1.005 < 1.05 (d) 2.3 = 2.30 (e) 2.30 = 2.300
    • Hint: Add trailing zeroes to compare: 0.1 = 0.100, 2.3 = 2.300. Then compare digit by digit from left to right.
    • Answer: 3.006 < 3.06 < 3.6 = 3.60 = 3.600
    • Hint: Write all numbers to 3 decimal places: 3.006, 3.060, 3.600, 3.600, 3.600 and compare.
    • Answer: Closest to 5.26 is 5.27 (difference 0.01). 5.25 is 0.01 away too, so both 5.25 and 5.27 are equally close; among given choices, 5.27 and 5.25 tie.
    • Hint: Compare distance from 5.26 by subtraction: |5.27−5.26|, |5.205−5.26|, |5.25−5.26|.

E. Addition and Subtraction of Decimals

    • Answer: (a) 3.43 (b) 11.70 (c) 30.00
    • Hint: Line up decimal points and add place-wise (tenths with tenths, hundredths with hundredths).
    • Answer: (a) 3.03 (b) 10.64
    • Hint: Line up decimal points; borrow carefully across the decimal if needed.
    • Answer: 1.25 − 0.37 = 0.88 m
    • Hint: Convert both to hundredths: 1.25 = 125/100 and 0.37 = 37/100, then subtract, or subtract directly with decimal alignment.
    • Answer: 2.5 + 0.68 + 0.254 = 3.434 kg
    • Hint: Write 2.5 as 2.500, then add column-wise: 2.500 + 0.680 + 0.254.
    • Answer:
      1. Total = 125.75 + 84.50 = ₹210.25
      2. Change = 500.00 − 210.25 = ₹289.75
    • Hint: Treat money like decimals: rupees are the whole part, paise are the decimal part (hundredths).

F. Fractions to Decimals and a Smart Puzzle

    • Answer: (a) 3/4 = 0.75 (b) 1/5 = 0.2 (c) 3/2 = 1.5 (d) 4/5 = 0.8
    • Hint: Convert to denominator 10 or 100 when possible (like 1/5 = 2/10). Or just divide numerator by denominator.
    • Answer: One valid filling is 7.89 + 2.61 = 10.50
    • Hint: Think of making 10.50 as (10 + 0.50). Choose two decimals whose fractional parts add to 0.50, then adjust whole parts to sum to 10. Keep digits in boxes non-repeating.

Other Class 7 Maths worksheet

Amit, a BE in Mechanical Engineering, is a math enthusiast dedicated to making math fun and accessible for kids in classes 1 to 10. With a knack for simplifying complex concepts, Amit offers easy-to-understand solutions, fostering a love for math in young minds across India.

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