Class 7 Maths Part 1 Chapter 3 PDF: A Peek Beyond the Point (Ganita Prakash)

Class 7 Maths Part 1 Chapter 3, A Peek Beyond the Point, introduces decimal fractions—tenths, hundredths and thousandths—extending the place-value table to the right of the ones place, converting metric units of length, weight and money, and adding and subtracting decimals.

What Class 7 Mathematics Chapter 3 Covers

3.1–3.4 Tenths, Hundredths & Decimal Place Value motivates sub-unit precision with millimetre measurements, represents $\frac{1}{10}$ (tenths), $\frac{1}{100}$ (hundredths) and $\frac{1}{1000}$ (thousandths) in the decimal place-value chart, and reads/writes decimal numbers.

3.5–3.6 Units of Measurement, Locating & Comparing Decimals converts between mm, cm, m and km; g and kg; and paise and rupees, locates decimals on the number line, explains why trailing zeros after the decimal point do not change value ($1.4 = 1.40 = 1.400$), and compares decimals.

3.7–3.8 Addition and Subtraction of Decimals & History aligns decimal points by place value to add and subtract decimals, extends decimal sequences, examines real-world decimal notation errors, and traces decimal history to Indian and Arab mathematicians.

Exercises in Chapter 3

  • Figure it Out exercise sets and Summary with solved walkthroughs.

Read Class 7 Mathematics Chapter 3 Online

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FAQ

Why is 0.4 equal to 0.40 and 0.400?
Because 4 tenths ($\frac{4}{10}$) is equivalent to 40 hundredths ($\frac{40}{100}$) and 400 thousandths ($\frac{400}{1000}$); adding zeros to the extreme right of the decimal part adds 0 hundredths and 0 thousandths, leaving the value unchanged.

How do you convert millimetres to centimetres and grams to kilograms using decimals?
Since $1\text{ cm} = 10\text{ mm}$, $1\text{ mm} = \frac{1}{10}\text{ cm} = 0.1\text{ cm}$. Since $1\text{ kg} = 1000\text{ g}$, $1\text{ g} = \frac{1}{1000}\text{ kg} = 0.001\text{ kg}$.