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Sergio039 [100]
3 years ago
13

823-242 use rounding or compatible numbers to estimate the difference

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
6 0

We have to use rounding or compatible numbers to estimate the difference of 823 and 242.

Since, a quick way to estimate the difference between two numbers is to round each number and then subtract the rounded numbers.

Therefore, rounding the number 823 to the nearest tens = 820

Rounding the number 242 to the nearest tens = 240

The difference between the estimated numbers

= 820 - 240

= 580

Therefore, the estimated difference is 580.

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The interior angles of a triangle have measures 90°, 48°, and xº.<br> What is the value of x?
Ahat [919]

Answer:

42°

Step-by-step explanation:

The interior angles of a triangle always add to 180 degrees.

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3 years ago
How do you solv divisions like 60/19. Please someone tell me fast
MatroZZZ [7]

Answer:

The first thing you do is:        

Step-by-step explanation:

How to calculate 60 divided by 19

Here we will show you step-by-step with detailed explanation how to calculate 60 divided by 19 using long division.

Before you continue, note that in the problem 60 divided by 19, the numbers are defined as follows:

60 = dividend

19 = divisor

Step 1:

Start by setting it up with the divisor 19 on the left side and the dividend 60 on the right side like this:

           

 1 9 ⟌ 6 0  

Step 2:

The divisor (19) goes into the first digit of the dividend (6), 0 time(s). Therefore, put 0 on top:

       0    

 1 9 ⟌ 6 0  

Step 3:

Multiply the divisor by the result in the previous step (19 x 0 = 0) and write that answer below the dividend.

       0    

 1 9 ⟌ 6 0  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (6 - 0 = 6) and write the answer below.

       0    

 1 9 ⟌ 6 0  

     - 0    

       6    

Step 5:

Move down the 2nd digit of the dividend (0) like this:

       0    

 1 9 ⟌ 6 0  

     - 0    

       6 0  

Step 6:

The divisor (19) goes into the bottom number (60), 3 time(s). Therefore, put 3 on top:

       0 3  

 1 9 ⟌ 6 0  

     - 0    

       6 0  

Step 7:

Multiply the divisor by the result in the previous step (19 x 3 = 57) and write that answer at the bottom:

       0 3  

 1 9 ⟌ 6 0  

     - 0    

       6 0  

      5 7  

Step 8:

Subtract the result in the previous step from the number written above it. (60 - 57 = 3) and write the answer at the bottom.

       0 3  

 1 9 ⟌ 6 0  

     - 0    

       6 0  

     - 5 7  

         3  

3 0
2 years ago
Does anyone know how to do this and if so can you please help me and explain how to do it, it’ll be appreciated thank you
dalvyx [7]

Answer:

13) (5x)^{-\frac{5}{4} ⇒ \frac{1}{\sqrt[4]{(5x)^5}}

15) (10n)^{\frac{3}{2} ⇒ \sqrt{(10n)^3}

Step-by-step explanation:

Given expression:

13) (5x)^{-\frac{5}{4}

15) (10n)^{\frac{3}{2}

Write the expressions in radical form.

Solution:

For an expression with exponents as fraction like

(x)^{\frac{m}{n}

the numerator m represents the power it is raised to and the denominator n represents the nth root of the expression.

For an expression with exponents as negative  fraction like

(x)^{-\frac{m}{n}

We take the reciprocal of the term by rule for negative exponents.

So it is written as:

\frac{1}{(x)^{\frac{m}{n}}}

using the above properties we can write the given expressions in radical form.

13) (5x)^{-\frac{5}{4}

⇒ \frac{1}{(5x)^{\frac{5}{4}}}   [Using rule of negative exponents]

⇒ \frac{1}{\sqrt[4]{(5x)^5}}    [writing in radical form]

15) (10n)^{\frac{3}{2}

⇒ \sqrt{(10n)^3}     [Since 2nd root is given as \sqrt{} in radical form]

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3 years ago
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