Find each product by factoring the tens.

1 answer:

3 0

A technique for mental multiplication is called factoring the tens which relies on the fact that 10*n, for any real number n. This will make the problems easy to compute. 6 x 2 = 12 is a memory value.

12 x 10 = 120

12 X 100 = 1200

Take for instance in 6 x 2, 6 x 20 and 6 x 200. Find the factors and these are the computations. We can also say:

6 x 20 = 6 x 2 x 10 = 12 x 10 = 120
60 x 20 = 6 x 10 x 2 x 10 = 12 x 10 x 10 = 1200

It must be remembered that in the commutative and associative properties of multiplication, the order of the factors does not matter when solving this kind of problem

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Answer:

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2 years ago

Solve the equation for x, where x is a real number (5 points): -5x^2 + 7x + 41 = 32

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Subtract 32 to both sides to the equation becomes -5x^2 + 7x + 9 = 0.

To solve this equation, we can use the quadratic formula. The quadratic formula solves equations of the form ax^2 + bx + c = 0
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                   x = [ -7 ± √(7^2 - 4(-5)(9)) ] / ( 2(-5) )
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                   x = [ -7 ± sqrt(229) ] / ( -10 )
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The answers are 7/10 + sqrt(229)/10 and 7/10 - sqrt(229)/10.

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3 years ago