Using properties of addition and multiplication , find each of the following products.
1 ) 928 × 857
2 ) 3046 × 729
3 ) 849 × 205
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Answers
Answer:
Step-by-step explanation:
2 ) 3046 × 729
=729*(3000+40+6)
=729*3000+729*40+729*6
=2187000+29160+4374
=2220534
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3) 849*205
=849*(200+5)
=849*200+849*5
=169800+4245
=174045
Answer:
Therefore, by using properties of addition and multiplication we get result as
1) 928 x 857 = 795296
2) 3046 x 729 = 2220534
3) 849 x 205 = 174045.
Concept:
What is addition?
The characteristics of addition specify the possible methods for adding the given integers. One of the fundamental arithmetic operations in mathematics is "addition."
What is multiplication?
One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiplication is essentially the process of repeatedly adding sets of identically sized objects.
To find:
To find the product of 1 ) 928 × 857 ; 2 ) 3046 × 729 ; 3 ) 849 × 205 using properties of addition and multiplication.
Solution:
1) 928 x 857 = 928 x (800 + 50 + 7)
= (928 x 800) + (928 x 50) + (928 x 7)
= (742400 + 46400 + 6496)
= 795296
2) 3046 x 729 = 3046 x (700 + 20 + 9)
= (3046 x 700) + (3046 x 20) + (3046 x 9)
= (2132200 + 60920 + 27414)
= 2220534
3) 849 x 205 = 849 x (200 + 0 + 5)
= (849 x 200) + (849 x 0) + (849 x 5)
= (169800 + 0 + 4245)
= 174045
Hence, by using properties of addition and multiplication we get result as
1) 928 x 857 = 795296
2) 3046 x 729 = 2220534
3) 849 x 205 = 174045.
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