Maria says that 4 2/3 x 7 1/5 = 4 x 7 + 2/3 x 1/5....

Maria says that 4 2/3 x 7 1/5 = 4 x 7 + 2/3 x 1/5. Explain why Maria has made a good attempt, but her answer is not correct. Explain how to work with what Maria has already written and modify it to get the correct answer. In other words, don’t just start from scratch and show Maria how to do the problem, but rather take what she has already written, use it, and make it mathematically correct. Which property of arithmetic is relevant to correcting Maria’s work? Explain.

Solutions

Expert Solution

Maria has written:

4 2/3 x 7 1/5 = 4 x 7 + 2/3 x 1/5.

Though Maria has made a good attempt, but her answer is not correct.

Explanation:

Property of arithmetic that is relevant to correcting Maria's work is as follows:

For multiplying 2 numbers each containing an integer part and fractional part, it is incorrect to multiply the integral parts with fractional parts.

The correct method is first convert each of the 2 numbers containing an integer part and fractional part as improper fractions, then multiplying the resultant improper fractions and finally converting the resultant improper fraction into integer with a fraction form.

Step 1:

Take what she has already written:

4 2/3 x 7 1/5

Step 2:

Convert 4 2/3 as improper fraction as follows:

4 2/3 = 14/3

Sep 3:

Convert 7 1/5 as improper fraction as follows:

7 1/5 = 36/5

Step 4:
Multiply the resulting improper fractions as follows:

14/3 X 36/5 = (14 X 36)/(3 X 5) = 504/15

Step 5:
Convert the resultant improper fraction into integer with a fraction form.as follows:

504/15 = 33 9/15 = 33 3/5

So,

Answer is:

33 3/5

Colby Messinger answered 1 year ago

Next > < Previous

Related Solutions

ID X Y 1 2 3 2 3 6 3 4 6 4 5 7 5...

ID X Y 1 2 3 2 3 6 3 4 6 4 5 7 5 8 7 6 5 7 7 6 7 8 8 8 9 7 8 10 12 11 Test the significance of the correlation coefficient. Then use math test scores (X) to predict physics test scores (Y). Do the following: Create a scatterplot of X and Y. Write the regression equation and interpret the regression coefficients (i.e., intercept and slope). Predict the physics score for each....

4) Let ? = {2, 3, 5, 7}, ? = {3, 5, 7}, ? = {1,...

4) Let ? = {2, 3, 5, 7}, ? = {3, 5, 7}, ? = {1, 7}. Answer the following questions, giving reasons for your answers. a) Is ? ⊆ ?? b)Is ? ⊆ ?? c) Is ? ⊂ ?? d) Is ? ⊆ ?? e) Is ? ⊆ ?? 5) Let ? = {1, 3, 4} and ? = {2, 3, 6}. Use set-roster notation to write each of the following sets, and indicate the number of elements in...

Step 2 Data Set A x 1 2 3 4 5 6 7 y 7 7...

Step 2 Data Set A x 1 2 3 4 5 6 7 y 7 7 7 9 9 9 10 Data Set B x 1 2 3 4 5 6 7 8 9 10 11 y 4 6 6 6 8 9 9 9 10 10 10 Step 2 Find the equation for the least-squares line, and graph the line on the scatter plot. Find the sample correlation coefficient r and the coefficient of determination r2. Is r significant?...

Given: x y -5 1 -4 5 -3 4 -2 7 -1 10 0 8 1...

Given: x y -5 1 -4 5 -3 4 -2 7 -1 10 0 8 1 9 2 13 3 14 4 13 5 18 What are the confidence limits (alpha = 0.05) for the true mean value of Y when X = 3?

X 1 3 5 3 4 4 Y 2 5 4 3 4 6 A: Plot...

X 1 3 5 3 4 4 Y 2 5 4 3 4 6 A: Plot the date B: find the line of best fit C: determine ŷ AT x=3 D: Find r and r^2 E: explain r and r^2

Integral x^5-x^4+4x^3-4x^2+8x-4 / ( x^3+2)^3(x^2-1) dx

x 2 8 5 9 4 3 9 6 7 8 y 3 6 5 7...

x 2 8 5 9 4 3 9 6 7 8 y 3 6 5 7 9 7 4 6 9 9 -5.48x + 0.17 5.48x + 0.17 -0.17x + 5.48 0.17x + 5.48

[4 5 5 2 4 4 6 3 3 7 5 3 6 3 4 4...

[4 5 5 2 4 4 6 3 3 7 5 3 6 3 4 4 6 5 4 5 3 7 5 5 4 2 6 5 6 6] This is my dataset Find mean, median, mode, variance, standard deviation, coefficient of variation, range, 70th percentile, 3rdquartile of the data and skewness and define what each of these statistics measure. For example, mean is a measure of the central tendency, what about the rest? Use Chebyshev’s rule to find...

[4 5 5 2 4 4 6 3 3 7 5 3 6 3 4 4...

[4 5 5 2 4 4 6 3 3 7 5 3 6 3 4 4 6 5 4 5 3 7 5 5 4 2 6 5 6 6] This is my dataset Split the dataset in two equal parts. You have 30 datavalues. If you split the data in two equal parts each part will contain 15 data values. Call the first part Y and second part X.Draw scatter plot of the 2 datasets, X being on the horizontal...

3. Consider the following data for two variables, x and y. x 2 3 4 5 7...

3. Consider the following data for two variables, x and y. x 2 3 4 5 7 7 7 8 9 y 4 5 4 6 4 6 9 5 11 a. Does there appear to be a linear relationship between x and y? Explain. b. Develop the estimated regression equation relating x and y. c. Plot the standardized residuals versus yˆ for the estimated regression equation developed in part (b). Do the model assumptions appear to be satisfied? Explain. d....

Subjects