* 8. write (4 × 100)+(3 × 1) in standard notation.\n* 9. which digit in 4.375 is in the tenths place?\n* 10…

* 8. write (4 × 100)+(3 × 1) in standard notation.\n* 9. which digit in 4.375 is in the tenths place?\n* 10. analyze if the area of a square is 9 square inches,\n a. how long is each side of the square?\n b. what is the perimeter of the square?\n11. name two obtuse angles in the figure below.\n12. 3\\frac{1}{4}+2\\frac{1}{4}\n* 13. 3 - 1\\frac{1}{4}\n14. 3\\frac{1}{3}+2\\frac{2}{3}

* 8. write (4 × 100)+(3 × 1) in standard notation.\n* 9. which digit in 4.375 is in the tenths place?\n* 10. analyze if the area of a square is 9 square inches,\n a. how long is each side of the square?\n b. what is the perimeter of the square?\n11. name two obtuse angles in the figure below.\n12. 3\\frac{1}{4}+2\\frac{1}{4}\n* 13. 3 - 1\\frac{1}{4}\n14. 3\\frac{1}{3}+2\\frac{2}{3}

Answer

Explanation:

Step1: Solve 8

Calculate the value of $(4\times100)+(3\times1)$. $(4\times100)+(3\times1)=400 + 3=403$

Step2: Solve 9

In the decimal number 4.375, the digit in the tenths place is the first digit after the decimal - point. So the digit is 3.

Step3: Solve 10a

The area formula of a square is $A = s^2$, where $A$ is the area and $s$ is the side - length. Given $A = 9$ square inches, then $s=\sqrt{A}=\sqrt{9}=3$ inches.

Step4: Solve 10b

The perimeter formula of a square is $P = 4s$. Since $s = 3$ inches, then $P=4\times3 = 12$ inches.

Step5: Solve 11

An obtuse angle is an angle whose measure is greater than 90° and less than 180°. In the figure with intersecting lines at point $M$, $\angle AMD$ and $\angle BMC$ are obtuse angles.

Step6: Solve 12

Add the mixed numbers $3\frac{1}{4}+2\frac{1}{4}$. First, add the whole - numbers: $3 + 2=5$. Then add the fractions: $\frac{1}{4}+\frac{1}{4}=\frac{1 + 1}{4}=\frac{2}{4}=\frac{1}{2}$. So $3\frac{1}{4}+2\frac{1}{4}=5\frac{1}{2}$.

Step7: Solve 13

Subtract the mixed numbers $3-1\frac{1}{4}$. Rewrite 3 as $2\frac{4}{4}$. Then $2\frac{4}{4}-1\frac{1}{4}=(2 - 1)+(\frac{4}{4}-\frac{1}{4})=1\frac{3}{4}$.

Step8: Solve 14

Add the mixed numbers $3\frac{1}{3}+2\frac{2}{3}$. First, add the whole - numbers: $3+2 = 5$. Then add the fractions: $\frac{1}{3}+\frac{2}{3}=\frac{1 + 2}{3}=1$. So $3\frac{1}{3}+2\frac{2}{3}=5 + 1=6$.

Answer:

  1. 403
  2. 3 10a. 3 inches 10b. 12 inches
  3. $\angle AMD$, $\angle BMC$
  4. $5\frac{1}{2}$
  5. $1\frac{3}{4}$
  6. 6