NCERT Class 7 Mathematics

FRACTIONS AND DECIMALS 39 The value of 1 3 × 1 2 can be found in a similar way. Divide the whole into two equal parts and then d ...

40 MATHEMATICS Also, 5 6 = 15 23   . Thus, 1 2 × 5 3 = 15 23   = 5 6 . This is also shown by the figures drawn below. Each o ...

FRACTIONS AND DECIMALS 41 You will find that when two proper fractions are multiplied, the product is less than both the fractio ...

42 MATHEMATICS Multiply and reduce to lowest form (if possible) : (i) (^222) 33  (ii) 27 79  (iii)^36 84  (iv)^93 55  (v) ...

FRACTIONS AND DECIMALS 43 John cuts another strip of length 6 cm into smaller strips of length 3 2 cm each. How many strips will ...

44 MATHEMATICS Reciprocal of a fraction The number 2 1 can be obtained by interchanging the numerator and denominator of 1 2 or ...

FRACTIONS AND DECIMALS 45 Thus,to divide a whole number by any fraction, multiply that whole number by the reciprocal of that fr ...

46 MATHEMATICS EXERCISE 2.4 Find: (i) 12 3 4  (ii) 14 5 6  (iii) 8 7 3  (iv) 4 8 3  (v) 321 3  (vi) 534 7  Find the rec ...

FRACTIONS AND DECIMALS 47 In the table, you wrote the decimal number, given its place-value expansion. You can do the reverse, t ...

48 MATHEMATICS Express in kg: (i) 200 g (ii) 3470 g (iii) 4 kg 8 g (iv) 2598 mg Write the following decimal numbers in the expa ...

FRACTIONS AND DECIMALS 49 Thus, we have, (Fig 2.14). Fig 2.14 The dotted square is one part out of 10 of the 1 10 th part. That ...

50 MATHEMATICS Thus, 0.2 × 0.3 = 0.06. Observe that 2 × 3 = 6 and the number of digits to the right of the decimal point in 0.06 ...

FRACTIONS AND DECIMALS 51 2.6.1 Multiplication of Decimal Numbers by 10 , 100 and 1000 Reshma observed that 2.3 = 23 10 whereas ...

52 MATHEMATICS EXERCISE 2.6 Find: (i) 0.2 × 6 (ii) 8 × 4.6 (iii) 2.71 × 5 (iv) 20.1 × 4 (v) 0.05 × 7 (vi) 211.02 × 4 (vii) 2 × ...

FRACTIONS AND DECIMALS 53 Take 31.5 10 = 31.5. In 31.5 and 3.15, the digits are same i.e., 3, 1, and 5 but the decimal point has ...

54 MATHEMATICS EXAMPLE 9 Find the average of 4.2, 3.8 and 7.6. SOLUTION The average of 4.2, 3.8 and 7.6 is4.2 3.8 7.6 3 =15.6 ...

FRACTIONS AND DECIMALS 55 EXAMPLE 11 A car covers a distance of 89.1 km in 2.2 hours. What is the average distance covered by it ...

56 MATHEMATICS (a) The product of two proper fractions is less than each of the fractions that are multiplied. (b) The product ...

DATA HANDLING 57 3.1 INTRODUCTION In your previous classes, you have dealt with various types of data. You have learnt to collec ...

58 MATHEMATICS What do these collections of data tell you? For example you can say that the highest maximum temperature was in J ...