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 Answer Key 1

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

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

Find the Square of a Number

Example
Find the Square of \(\frac{2}{3}\)
Texas Go Math Grade 8 Module 1 Answer Key 2

Find the square of each number.

Go Math Grade 8 Module 1 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

Grade 8 Module 1 Answer Key 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

Grade 8 Math Module 1 Answer Key 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

Algebra 1 Module 1 Answer Key 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
\(\frac{13}{8}\)

Texas Go Math Grade 8 Module 1 Answer Question 19.
2\(\frac{3}{7}\)
Answer:
2\(\frac{3}{7}\) Given
2 + \(\frac{3}{7}\)
Write the mixed number as a sum of a 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.

Texas Go Math Grade 8 Module 1 Answer Key 3

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.

Grade 8 Math Module 1 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.

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