Texas Go Math Grade 8 Module 1 Answer Key Real Numbers

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:
7² Given
7 * 7 Multiply the number by itself
49 Simplify
49

Question 2.
21 _____
Answer:
21² 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:
2.7² 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 5³ = 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.
9² _________
Answer:
9² Given
9 * 9 Use the base 9 as a factor for 2 times
81 Multiply from left to right
81

Question 10.
2⁴ __________
Answer:
2⁴ 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.
4³ _________
Answer:
4³ 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.
4.5² _______
Answer:
4.5² 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.
10⁵ ________
Answer:
10⁵ 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.