NCERT Class 7 Maths Chapter 3
A Peek Beyond the Point
This chapter from Ganita Prakash Part 1 introduces CBSE Class 7 students to decimal numbers and their connection to fractions and the place value system. Students explore decimals in everyday contexts such as measurements, money, and weights, and learn to perform operations like addition, subtraction, multiplication, and division on decimals. The chapter lays the groundwork for understanding real numbers.
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Key Terms
- Decimal Number
- A number that contains a decimal point, separating the whole number part from the fractional part. For example, 3.75 represents 3 whole units and 75 hundredths.
- Decimal Point
- A dot (.) used to separate the whole number part of a number from its fractional part in decimal notation.
- Tenths Place
- The first place to the right of the decimal point, representing fractions with denominator 10. For example, in 4.7, the digit 7 is in the tenths place, meaning 7/10.
- Hundredths Place
- The second place to the right of the decimal point, representing fractions with denominator 100. For example, in 3.45, the digit 5 is in the hundredths place, meaning 5/100.
- Like Decimals
- Decimals that have the same number of digits after the decimal point, making them easy to compare and add directly.
- Converting Fractions to Decimals
- The process of expressing a fraction as a decimal by dividing the numerator by the denominator. For example, 3/4 = 0.75.
Frequently Asked Questions
What is a decimal number in Class 7 Maths?▾
A decimal number has two parts separated by a decimal point: the whole number part on the left and the fractional part on the right. For example, 5.36 means 5 whole units, 3 tenths, and 6 hundredths.
How do you convert a fraction to a decimal?▾
To convert a fraction to a decimal, divide the numerator by the denominator. For example, 3/5 = 3 ÷ 5 = 0.6. If the denominator is a factor of 10 or 100, you can also convert directly: 3/4 = 75/100 = 0.75.
How do you add and subtract decimal numbers?▾
To add or subtract decimals, align the decimal points vertically and then add or subtract digit by digit as with whole numbers. For example, 3.45 + 2.3 = 3.45 + 2.30 = 5.75 (add a zero to make like decimals first).
How do you multiply a decimal by 10, 100, or 1000?▾
When multiplying a decimal by 10, shift the decimal point one place to the right. For 100, shift two places; for 1000, shift three places. For example, 3.25 × 10 = 32.5, and 3.25 × 100 = 325.
What is the decimal equivalent of common fractions used in Class 7?▾
Common decimal equivalents: 1/2 = 0.5, 1/4 = 0.25, 3/4 = 0.75, 1/5 = 0.2, 2/5 = 0.4, 1/10 = 0.1, 1/100 = 0.01. These are useful to memorise for quick conversions.
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