NCERT Class 7 Mathematics

EXPONENTS AND POWERS 259 (ii) 2^3 × 2^2 × 5^5 = 23+2 × 5^5 =2^5 × 55 = (2 × 5)^5 = 10^5 (iii) 66 624 3 = 6624 3 = (^6633) 3 ...

260 MATHEMATICS (ii) 23 2 94 45 2 = 45 222 2×3 ×2 3× 2 = 54 222 2×2 ×3 = 15 4 42 2×3 2×3 = 64 42 2×3 2×3= 2×3^64 42 =2^2 × 3^2 ...

EXPONENTS AND POWERS 261 Express each of the following as a product of prime factors only in exponential form: (i) 108 × 192 (i ...

262 MATHEMATICS We have expressed all these numbers in the standard form. Any number can be expressed as a decimal number betwee ...

EXPONENTS AND POWERS 263 A point to remember is that one less than the digit count (number of digits) to the left of the decimal ...

264 MATHEMATICS WHAT HAVE WE DISCUSSED? Very large numbers are difficult to read, understand, compare and operate upon. To make ...

14.1 INTRODUCTION Symmetry is an important geometrical concept, commonly exhibited in nature and is used almost in every field o ...

266 MATHEMATICS Enjoy identifying lines (also called axes) of symmetry in the designs you collect. Let us now strengthen our ide ...

SYMMETRY 267 If a pentagon is regular, naturally, its sides should have equal length. You will, later on, learn that the measure ...

268 MATHEMATICS While dealing with mirror reflection, care is needed to note down the left-right changes in the orientation, as ...

SYMMETRY 269 Given the line(s) of symmetry, find the other hole(s): In the following figures, the mirror line (i.e., the line o ...

270 MATHEMATICS Copy the figure given here. Take any one diagonal as a line of symmetry and shade a few more squares to make th ...

SYMMETRY 271 What can you say about the rotation of the blades of a ceiling fan? Do they rotate clockwise or anticlockwise? Or d ...

272 MATHEMATICS Fig 14.13 (i) is the initial position. Rotation by 90° about the centre leads to Fig 14.13 (ii). Note the positi ...

SYMMETRY 273 Stick a pin into the shapes at the point O. Now turn the transparent shape in the clockwise direction. How many tim ...

274 MATHEMATICS EXERCISE14.2 Which of the following figures have rotational symmetry of order more than 1: (a) (b) (c) (d) (e) ...

SYMMETRY 275 Some of the English alphabets have fascinating symmetrical structures.Which capital letters have just one line of s ...

276 MATHEMATICS Name the quadrilaterals which have both line and rotational symmetry of order more than 1. After rotating by 60 ...

15.1 INTRODUCTION: PLANE FIGURES AND SOLID SHAPES In this chapter, you will classify figures you have seen in terms of what is k ...

278 MATHEMATICS Try to identify some objects shaped like each of these. By a similar argument, we can say figures drawn on paper ...