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Mathematics. Chapter One. Commutative law. 5+3=? The order of adding any 2 numbers does not affect the result. This is the same for multiplication and division. Answer: 5+3=3+5. Associative Law. 2+3+5=? The order of grouping numbers together in addition does not affect the answer.
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Mathematics Chapter One
Commutative law • 5+3=? • The order of adding any 2 numbers does not affect the result. • This is the same for multiplication and division Answer: 5+3=3+5
Associative Law • 2+3+5=? • The order of grouping numbers together in addition does not affect the answer. • This is the same for multiplication only. Answer: 2+3+5=(2+3)+5
Distributive Law • 4x(5x9)=? • (4x5)+(4x9)=? • For any 3 whole numbers A, B, C we have Ax(B+C)=AxB+AxC. Answer: 4x(5x9)=180 Answer: (4x5)+(4x9)=56
Performing Maths Operations • Simplify any expression within brackets first. • Simplify any brackets within brackets first when needed. • Do multiplications and divisions first before doing adding and subtracting
Mathematics Chapter 2
Some Questions • Is 50836 divisible by 2? • Test 660 for divisibility by 2,3,4,5,10 and 11. • What is the square root of 4? Answer: 50836/2=25418 Answer: 660/2=330 660/3=220 660/4=165 660/5=132 660/10=66 660/11=60 Answer: square root is 2
Mathematics Chapter 3
Some Questions • State a rule for 3, 8, 13, 18 and write the next three terms. • Consider the pattern2=1x26=2x312=3x4.110=kx(k+1) • Write the 8th line of the pattern • The value of k. Answer: the rule is N+5. 23 28 33 Answer: 72=8x9 Answer: k=10
Continued • Fill the box with the appropriate number and state the rule used • 1, 3, ?, 27, 81. Answer: it is Nx3 = 9.