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Write an expression that can be used to find 4 x 275 using mental math and properties of numbers.

Sagot :

smmwaite
Answer
(4×200)+(4×70)+(4×5)

Explanation
275 can be written as 200+70+5. You can simply this multiplication using the distributive property of multiplication.
4×275=4(200+70+5)
=(4×200)+(4×70)+(4×5)
=800+280+20 
=1100

Answer:

The given expression can easily be solved by using Distributive Laws of multiplication over addition.

Step-by-step explanation:

The given expression is : 4 x 275

Now, 275 can be expressed as sum of 200 + 75 + 5

So, the given expression 4 x 275 changes to 4 x (200 + 70 + 5)

The above expression can easily be solved by using the distributive law of multiplication over addition.

So, now distributing the multiplication over addition. We get,

4 x 275 = 4 x (200 + 70 + 5)

             = 4 × 200 + 4 × 70 + 4 × 5

             = 800 + 280 + 20

             = 1100

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