Find the value of the following expressions using properties of whole numbers
i) 4295×13+4295×67
ii) 2030×601
Plz explain step by step
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Answers
Answer:
The associative property of whole numbers states that "The sum and the product of any three whole numbers remain the same regardless of how the numbers are grouped together or arranged".
Example 1: (1+2)+3 = 1+(2+3) because,
(1+2)+3 = 3+3 = 6
1+(2+3) = 1+5 = 6
Example 2: (1×2)×3 = 1×(2×3) because,
(1×2)×3 = 2×3 = 6
1×(2×3) = 1×6 = 6
Thus the set of whole numbers, W is associative under addition and multiplication. The associative property of W is stated as follows:
For all a,b,c∈W, a+(b+c)=(a+b)+c and a×(b×c)=(a×b)×c.
The associative property of whole numbers does not hold true for subtraction and division operations. It is because the arrangement of numbers is important in these operations. For example, 2, 3, and 4 are whole numbers, but 2 - (3 - 4) = 2 - (-1) = 3 and (2 - 3) - 4 = - 1 - 4 = -5. So, 3 ≠ -5. The same is with the division where 8 ÷ (4 ÷ 2) ≠ (8 ÷ 4) ÷ 2.
Step-by-step explanation:
Answer:
The associative property of whole numbers states that "The sum and the product of any three whole numbers remain the same regardless of how the numbers are grouped together or arranged".
Example 1: (1+2)+3 = 1+(2+3) because,
(1+2)+3 = 3+3 = 6
1+(2+3) = 1+5 = 6
Example 2: (1×2)×3 = 1×(2×3) because,
(1×2)×3 = 2×3 = 6
1×(2×3) = 1×6 = 6
Thus the set of whole numbers, W is associative under addition and multiplication. The associative property of W is stated as follows:
For all a,b,c∈W, a+(b+c)=(a+b)+c and a×(b×c)=(a×b)×c.
The associative property of whole numbers does not hold true for subtraction and division operations. It is because the arrangement of numbers is important in these operations. For example, 2, 3, and 4 are whole numbers, but 2 - (3 - 4) = 2 - (-1) = 3 and (2 - 3) - 4 = - 1 - 4 = -5. So, 3 ≠ -5. The same is with the division where 8 ÷ (4 ÷ 2) ≠ (8 ÷ 4) ÷ 2.