Refer to our Texas Go Math Grade 8 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 8 Module 1 Answer Key Real Numbers.

## Texas Go Math Grade 8 Module 1 Answer Key Real Numbers

**Essential Question**

How cart you use real numbers to solve real-world problems?

**Texas Go Math Grade 8 Module 1 Are You Ready? Answer Key**

**Complete these exercises to review skills you will need for this chapter.**

**Find the Square of a Number**

Example

Find the Square of \(\frac{2}{3}\)

**Find the square of each number.**

Question 1.

7 _____

Answer:

7^{2} Given

7 * 7 Multiply the number by itself

49 Simplify

49

Question 2.

21 _____

Answer:

21^{2} Given

21 * 21 Multiply the number by itself

441 Simplify

441

Question 3.

-3

Answer:

(-3)^{2} Given

(-3) * (-3) Multiply the number by itself

9 Simplify

9

Question 4.

\(\frac{4}{5}\) ____

Answer:

\(\left(\frac{4}{5}\right)^{2}\) Given

\(\frac{4}{5}\) * \(\frac{4}{5}\)

\(\frac{4 * 4}{5 * 5}\)

\(\frac{16}{25}\) Simplify

\(\frac{16}{25}\)

Question 5.

2.7 ________

Answer:

2.7^{2} Given

2.7 * 2.7 Multiply the number by itself

7.29 Simplify

7.29

Question 6.

–\(\frac{1}{4}\) ________

Answer:

Multiply the number by itself:

\(\left(-\frac{1}{4}\right)\) × \(\left(-\frac{1}{4}\right)\) = \(\frac{(-1) \times(-1)}{4 \times 4}\)

\(\frac{1}{16}\)

Question 7.

-5.7 _______

Answer:

(-5.7)^{2} Given

(-5.7) * (-5.7) Multiply the number by itself

32.49 Simplify

32.49

Question 8.

1\(\frac{2}{5}\) ____

Answer:

\(\left(1 \frac{2}{5}\right)^{2}\) Given

\(\left(\frac{7}{5}\right)^{2}\) Rewrite as improper fraction

\(\left(\frac{7}{5}\right)\) * \(\left(\frac{7}{5}\right)\) Multiply the number by itself

\(\frac{7 * 7}{5 * 5}\)

\(\frac{49}{25}\) Simplify

1\(\frac{24}{25}\)

**Exponents**

Example 5^{3} = 5 × 5 × 5 Use the base, 5, as a factor 3 times.

= 25 × 5 Multiply from left to right

= 125

**Simplify each exponential expression.**

Question 9.

9^{2} _________

Answer:

9^{2} Given

9 * 9 Use the base 9 as a factor for 2 times

81 Multiply from left to right

81

Question 10.

2^{4} __________

Answer:

2^{4} Given

2 * 2 * 2 * 2 Use the base 2 as a factor for 4 times

4 * 2 * 2 Multiply from left to right

8 * 2

16

Question 11.

(\(\frac{1}{3}\))^{2}

Answer:

Use the base \(\frac{1}{3}\) as a factor 2 times:

(\(\frac{1}{3}\))^{2} = \(\frac{1}{3}\) × \(\frac{1}{3}\)

Multiply from left to right:

\(\frac{1}{9}\)

Question 12.

(-7)^{2} _______

Answer:

(-7)^{2} Given

(-7) * (-7) Use the base -7 as a factor for 2 times

49 Multiply from left to right

49

Question 13.

4^{3} _________

Answer:

4^{3} Given

4 * 4 * 4 Use the base 4 as a factor for 3 times

16 * 4 Multiply from left to right

64

Question 14.

(-1)^{5} ______

Answer:

Use the base -1 as a factor 5 times:

(-1)^{5} = (-1) × (-1) × (-1) × (-1) × (-1)

Multiply from left to right:

(-1)^{5} = (-1) × (-1) × (-1) × (-1) × (-1)

= 1 × (-1) × (-1) × (-1)

= (-1) × (-1) × (-1)

= 1 ×(-1)

= -1

Question 15.

4.5^{2} _______

Answer:

4.5^{2} Given

(4.5) * (4.5) Use the base 4.5 as a factor for 2 times

20.25 Multiply from left to right

Question 16.

10^{5} ________

Answer:

10^{5} Given

1o * 10 * 10 * 10 * 10 Use the base 10 as a factor for 5 times

1oo * 10 * 10 * 10 Multiply from left to right

1000 * 10 * 10

10000 * 10

100000

**Write each mixed number as an improper fraction.**

Question 17.

3\(\frac{1}{3}\) _______

Answer:

3\(\frac{1}{3}\) Given

3 + \(\frac{1}{3}\) Write the mixed number as a sum of whole number and a fraction

\(\frac{9}{3}\) + \(\frac{1}{3}\) Write the whole number as an equivalent fraction with the same denominator as the fraction

\(\frac{10}{3}\) Add the numerators

\(\frac{10}{3}\)

Question 18.

1\(\frac{5}{8}\) _______

Answer:

1\(\frac{5}{8}\) Given

1 + \(\frac{5}{8}\) Write the mixed number as a sum of whole number and a fraction

\(\frac{8}{8}\) + \(\frac{5}{8}\) Write the whole number as an equivalent fraction with the same denominator as the fraction

\(\frac{13}{8}\) Add the numerators

\(\frac{13}{8}\)

Question 19.

2\(\frac{3}{7}\)

Answer:

2\(\frac{3}{7}\) Given

2 + \(\frac{3}{7}\)

Write the mixed number as a sum of whole number and a fraction

\(\frac{14}{7}\) + \(\frac{3}{7}\) Write the whole number as an equivalent fraction with the same denominator as the fraction

\(\frac{17}{7}\) Add the numerators

\(\frac{17}{7}\)

Question 20.

5\(\frac{5}{6}\) _______

Answer:

5\(\frac{5}{6}\) Given

5 + \(\frac{5}{6}\) Write the mixed number as a sum of whole number and a fraction

\(\frac{30}{6}\) + \(\frac{5}{6}\) Write the whole number as an equivalent fraction with

the same denominator as the fraction

\(\frac{35}{6}\) Add the numerators

\(\frac{35}{6}\)

**Texas Go Math Grade 8 Module 1 Reading Start-Up Answer Key**

**Visualize Vocabulary**

**Use the ✓ words to complete the graphic. You can put more than one word In each section of the triangle.**

**Understand Vocabulary**

**Complete the sentences using the preview words.**

Question 1.

One of the two equal factors of a number is a ____

Answer:

One of the two equa[ factors of a number is a __square root__.

Question 2.

A ____________________ has integers as its square roots.

Answer:

A __perfect square__ has integers as its square roots.

Question 3.

The ________________________ is the nonnegative square root of a number.

Answer:

The __principal square root__ is the nonnegative square root of a number.