Explain why it works to break apart a number by place values to multiply

Answers

Answer 1

Answer: Because it is much easier to identify the place values when multiplying numbers. You can immediately sight the numbers to be multipied.

An example
10
x 5
___
0
Then
5 -0= 50

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Help!! 7th grade mathematics

Which number rounds to 600 when rounded to the nearest whole number????

Answers

anything greater than or equal to 599.5

Write all of the numbers that round to 50

Answers

45, 46, 47, 48, 49, 51, 52, 53, and 54. Hope it helps.

The month of April has 30 days. Corey's iguana eats 2 1/2 ounces of peas a day. How many ounces of peas will Corey's iguana eat during the month of April?

Answers

The answer is 15 don't worry about the 1/2 because my teacher said that when I showed her problem that was similar to this

15 15 15 15 15 15 15 15 15

candy weighs a pumpkin at 12.23 pounds. if she splits it into four pieces, how much would each piece weigh ?

Answers

the anwser is 3.0575.because 12.32 ÷4 equals 3.0575

Hi there, we divide 12.23 by 4. 12.23÷4=3.0575, So, each piece would weigh 3.0575

When Marla rounded 19.95 to the nearest tenth she found the number change to 20.

Answers

Yes, Marla is correct.

Help what is x^2-2x-24=0 I know you can use quadratic formula I just forgot how examples always help :)

Answers

There are another way to solve a quadratic equation we call, Sum and product.

Let's see how we can do this...

$x^2-2x-24=0$

$Sum=-(b)/(a)$

$Product=(c)/(a)$

therefore

$Sum=-((-2))/(1)=2$

$Product=(-24)/(1)=-24$

now we have to pick up 2 numbers that the sum should be 2 and the product should be -24, we just have to think a little.

Let's try -3 and 8, for example.

$8+(-3)=5$

$8*(-3)=-24$

Doesn't work.

Let's try now 4 and -6.

$4+(-6)=-2$

$4*(-6)=-24$

Can you see here, that we have to change the signal?!

therefore

Let's try -4 and 6

$6+(-4)=2$

$6*(-4)=-24$

$Sum=2$

and

$Product=-24$

Them it works.

$\boxed{\boxed{x_1=-4~~and~~x_2=6}}$

$x^2-2x-24=0\n\na=1;\ b=-2;\ c=-24\n\n\Delta=b^2-4ac\n\n\Delta=(-2)^2-4\cdot1\cdot(-24)=4+96=100\n\nx_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\nx_1=(2-√(100))/(2\cdot1)=(2-10)/(2)=(-8)/(2)=-4\n\nx_2=(2+√(100))/(2\cdot1)=(2+10)/(2)=(12)/(2)=6$

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