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Question 1.Find the square root:i. 625ii. 1225iii. 289iv. 4096v. 1089Solution:i. 625 ∴ 625 = 5 x 5 x 5 x 5∴ √625 = 5 x 5 = 25 ii. 1225∴ 1225 = 5 x 5 x 7 x 7∴ √1225 = 5 x 7 = 35 iii. 289∴ 289 = 17 x 17∴ √289 = … Read more

Question 1.Simplify: ii. (34)-2= 34×(-2)= 3-8 v. (65)4= 65×4= 620 Question 2.Write the following numbers using positive indices:

Question 1.Simplify:i. a6 ÷ a4ii. m5 ÷ m8iii. p3 ÷ p13iv. x10 ÷ x10Solution:i. a6 ÷ a4= a6-4= a2 ii. m5 ÷ m8= m5-8= m-3 iii. p3 ÷ p13= p3-13= p-10 iv. x10 ÷ x10= x10-10= x0= 1 Question 2.Find the value of:i. (-7)12 ÷ (-7)12ii. 75 ÷ 73 iv. 47 ÷ 45Solution:i. (-7)12 ÷ (-7)12= (-7)12-12= (-7)0= 1 ii. 75 ÷ 73= 75-3= 72= 49 iv. 4 … Read more

Question 1.Simplify: Solution:i. 74 × 72= 74+2= 76 ii. (-11)5 × (-11)2= (-11)5+2= (-11)7 v. a16 × a7= a16+7= a23

Question 1.Complete the table below: Sr. No. Indices (Numbers in index form) Base Index Multiplication form Value i. 34 3 4 3 x 3 x 3 x 3 81 ii. 163 iii. (-8) 2 iv. 3/7 x 3/7 x 3/7 x 3×7 81/2401 v. (-13)4 Solution: Sr. No. Indices (Numbers in index form) Base Index … Read more

Question 1.Simplify the following expressions.i. 50 x 5 ÷ 2 + 24ii. (13 x 4) ÷ 2 – 26iii. 140 ÷ [(-11) x (-3) – (-42) ÷ 14 – 1)]iv. {(220 – 140) + [10 x 9 + (-2 x 5) ]} – 100 Solution:i. 50 x 5 ÷ 2 + 24 = 250 ÷ … Read more

Question 1.Write the following rational numbers in decimal form. Solution:i. 13/4 ii. -7/8 iii. 73/5 iv. 5/12 v. 22/7 vi. 3/4 vii. 7/9 Intext Questions and Activities

Question 1.Write three rational numbers that lie between the two given numbers. Intext Questions and Activities Question 1.Answer the following questions: (Textbook pg. no. 36) Solution:

Question 1.Carry out the following additions of rational numbers: ii. 12/3 +24/5 iii. 11/17 + 13/19 iv. 23/11 + 13/77 Question 2.Carry out the following subtractions involving rational numbers. ii. 13/36 – 2/40 iii. 12/3 – 35/6 iv. 41/2 – 31/3 Question 3.Multiply the following rational numbers. Question 4.Write the multiplicative inverse of. Question 5.Carry … Read more

Question 1.∠ACD is an exterior angle of ∆ABC. The measures of ∠A and ∠B are equal. If m∠ACD = 140°, find the measures of the angles ∠A and ∠B. Solution:Let the measures of ∠A be x°.m∠A = m∠B = x°∠ACD is the exterior angle of ∆ABC∴ m∠ACD = m∠A + m∠B∴ 140 = x + … Read more