Work out ( 2 × 10 5 ) × ( 3 × 10 4 ) Give your answer in standard form.

Mathematics

2 answers:

AnnyKZ [126]3 years ago

4 0

Answer:

6 × 10^9

Step-by-step explanation:

( 2 × 10^5 ) × ( 3 × 10^4 )

Rearrange.

2 × 3 × 10^5 × 10^4

Multiply and apply the law of exponents.

6 × 10^(5+4)

6 × 10^9

frutty [35]3 years ago

4 0

Hello, I'd like to answer your question. So first, you write an equation for this question:

Equation: (2×10^5)×(3×10^4)

(2×10^5)×(3×10^4), then here are the steps:

Always use the Order of Operation.

() - Parenthesis

^x - Exponents

×/÷ - Multiplication/Division

+/- - Addition/Subtraction

So, in the parenthesis, there is an exponent. We solve that first.

10^5=100,000

10^4=10,000

Now, multiply these two.

(2×100,000)=200,000

(3x10,000)=30,000

Now, the answer is:

200,000×30,000=6000000000

Thus, we can write it simplified.

6×10^9 is the answer.

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4 × square root of 3

Oksi-84 [34.3K]

<h3><u>Solution</u><u>:</u></h3>

Please find the photograph for the square root of 3.

Firstly, you have to write 3 as 3. 00 00 00.
Then we should find out the root of the perfect square which is less than 3. Here, 1 is the required perfect square root because 1 × 1 = 1 only which is less than 3.
Now 3 - 1 = 2 and we are placing 2 zeros after it so that it will be 200. Now we have to add 1 with the divisor 1 which will be 2. Then we have to select a number to be placed beside this 2 in such a way that if we multiply this combined number with the new number, then we will get a number which is less than 200. We see that if we place 7 after 2 and multiply 27 with 7, we get 189 which is less than 200.
Now 200 - 189 = 11 and we are placing 2 zeros after it so that it will be 1100. Now we have to add 7 with the divisor 27 which will be 34. Then we have to select a number to be placed beside this 34 in such a way that if we multiply this combined number with the new number, then we will get a number which is less than 1100. We see that if we place 3 after 34 and multiply 3 with 343, we get 1029 which is less than 1100.
Now 1100 - 1029 = 71 and we are placing 2 zeros after it so that it will be 7100. Now we have to add 3 with the divisor 343 which will be 346. Then we have to select a number to be placed beside this 346 in such a way that if we multiply this combined number with the new number, then we will get a number which is less than 7100. We see that if we place 2 after 346 and multiply 2 with 3462, we get 6924 which is less than 7100.
So, we will get the quotient as 1.732 (corrected to three places of decimal).

4√3

= 4 × 1.732

= 6.928

<h3><u>Answer:</u></h3>

Hope it helps

8 0

2 years ago

I need help answering this question

Gekata [30.6K]

ANSWER:

[a] A linear regression line has an equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable. The slope of the line is b, and a is the intercept (the value of y when x = 0).

[b] In the equation of a straight line (when the equation is written as “y = mx + b”), the slope is the number “m” that is multiplied on the x, and “b” is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the “Slope-intercepts form”.

NOTE: See picture attached.