Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 1-5 Mid Test regularly and improve your accuracy in solving questions.

Question 1.
a. 275×56 = 15,400.

Explanation:
By multiplying 275 and 56 we will get the product as 15,400. b. 312×9 = 2,808.

Explanation:
By multiplying 312 and 9 we will get the product as 2,808. c. 1717×34 = 58,378.

Explanation:
By multiplying 1717 and 34 we will get the product as 58,378. d. 5806×42 = 243,852.

Explanation:
By multiplying 5806 and 42 we will get the product as 243,852. Question 2.
a. 72÷8 = 9.

Explanation:
The division of 72 by 8 we will get the result as 8. b. 384÷19 = 20.21.

Explanation:
The division of 384 by 19 we will get the result as 20.21. c. 6147÷52 = 118

Explanation:
The division of 6147 by 52 we will get the result as 118. d. 1352÷8 = 169.

Explanation:
The division of 1352 by 8 we will get the result as 169. Question 3.
a. 5.73+0.21+1.6 = 7.54.

Explanation:
The addition of 5.73, 0.21 and 1.6 we will get the result as 7.54. b. 28.30+1.07+5.58 = 34.95.

Explanation:
The addition of 28.30, 1.07 and 5.58 we will get the result as 34.95. c. 93.45+28.12+23.3 = 144.87.

Explanation:
The addition of 93.45, 28.12 and 23.3 we will get the result as 144.87. d. Explanation:
The addition of 27.38, 92.46 and 84.9 we will get the result as 204.74. Question 4.
a. 42.5-16.30 = 26.20.

Explanation:
By subtracting 16.30 from 42.5 we will get the result as 26.20. b. 7.28-0.95 = 6.33.

Explanation:
By subtracting 0.95 from 7.28 we will get the result as 6.33. c. 74.27-2.56 = 71.71.

Explanation:
By subtracting 2.56 from 74.27 we will get the result as 71.71. d. 32.56-23.65 = 8.91.

Explanation:
By subtracting 23.65 from 32.56 we will get the result as 8.91. Question 5.
a. 586×3.7 = 2168.2

Explanation:
By multiplying 586 and 3.7 we will get the product as 2168.2. b. 2.1×0.8 = 1.68.

Explanation:
By multiplying 2.1 and 0.8 we will get the product as 1.68. c. 3.50×2.6 = 9.1

Explanation:
By multiplying 3.50 and 2.6 we will get the product as 9.1. d. 38.2×7.58 = 289.556.

Explanation:
By multiplying 38.2 and 7.58 we will get the product as 289.556. Multiply or Divide.

Question 6.
a. 98×0.4 = 39.2.

Explanation:
By multiplying 98 and 0.4 we will get the product as 39.2. b. 370×6.4 = 2368.0

Explanation:
By multiplying 370 and 6.4 we will get the product as 2368.0 c. 7.02×9 = 63.18.

Explanation:
By multiplying 7.02 and 9 we will get the product as 63.18. d. 42.36×13 = 550.68.

Explanation:
By multiplying 42.36 and 13 we will get the product as 550.68. Question 7.
a. 10÷2.5 = 4.

Explanation:
The division of 10 by 2.5 we will get the result as 4. b. 36÷0.03 = 1200.

Explanation:
The division of 36 by 0.03 we will get the result as 1200. c. 7.2÷9 = 0.8.

Explanation:
The division of 7.2 by 9 we will get the result as 0.8. d. 5.6÷8 = 0.7.

Explanation:
The division of 5.6 by 8 we will get the result as 0.7. Question 8.
a. 24.96÷4.8 = 5.2.

Explanation:
The division of 24.96 by 4.8 we will get the result as 5.2 b. 2.96÷0.37 = 8.

Explanation:
The division of 2.96 by 0.37 we will get the result as 8. c. 63.42÷9.06 = 7.

Explanation:
The division of 63.42 by 9.06 we will get the result as 7. d. 4.84÷1.21 = 4.

Explanation:
The division of 4.84 by 1.21 we will get the quotient as 4. Write each number in expanded form.

Question 9.
a. 732
______
732 = 700+30+2

Explanation:
The expanded form of 732 which is 700+30+2.

b. 32,132
______
32,132 = 30,000+2,000+100+30+2.

Explanation:
The expanded form of 32,132 which is 30,000+2,000+100+30+2.

c. 4,790
______
4,790 = 4000+700+90.

Explanation:
The expanded form of 4,790 which is 4,000+700+90.

Question 10.
a. 10.03
______
10.03 = 10+0.3.

Explanation:
The expanded form of 10.03 which is 10+0.3

b. 23,147.32
______
23,147.32 = 20,000+3,000+100+40+7+0.3+0.02.

Explanation:
The expanded form of 23,147.32 which is 20,000+3,000+100+40+7+0.3+0.02

c. 300.1
______
300.1= 300+0.1

Explanation:
The expanded form of 300.1 which is 300+0.1

What is the value of the underlined digit?

Question 11.
a. 1539.16
3 – Tens place.

Explanation:
Here, the underlined digit is 3, so the value of the digit 3 is Tens place.

b. 898,792
898,792 = Ten Thousands.

Explanation:
Here, the underlined digit is 9 in 898,792, so the value of the digit 9 is Ten Thousands place.

c. 35,563.8
35,563.8 = Thousands.

Explanation:
Here, the underlined digit is 5 in 35,563.8, so the value of the digit 5 is Thousands place.

Question 12.
a. 3,324,291.4
3 = Million.

Explanation:
Here, the underlined digit is 3 in 3,324,291.4, so the value of the digit 3 is million place.

b. 8,524.14
.04 = Hundredths.

Explanation:
Here, the underlined digit is .04 in 8,524.14, so the value of the digit .04 is hundredths.

c. 82,917.2
.2= Hundredths.

Explanation:
Here, the underlined digit is .2 in 82,917.2, so the value of the digit .2 is hundredths.

Question 13.
a. $$\frac{3}{4}$$+$$\frac{1}{4}$$ = 1.

Explanation:
The addition of $$\frac{3}{4}$$+$$\frac{1}{4}$$ is $$\frac{4}{4}$$ which is 1. b. $$\frac{2}{7}$$+$$\frac{3}{5}$$ = $$\frac{31}{35}$$.

Explanation:
The addition of $$\frac{2}{7}$$+$$\frac{3}{5}$$ which is $$\frac{10+21}{35}$$
= $$\frac{31}{35}$$. c. $$\frac{7}{8}$$+$$\frac{1}{3}$$ = $$\frac{29}{24}$$.

Explanation:
The addition of $$\frac{7}{8}$$+$$\frac{1}{3}$$ which is $$\frac{21+8}{24}$$
= $$\frac{29}{24}$$. d. 5+$$\frac{2}{3}$$ = $$\frac{17}{3}$$.

Explanation:
The addition of 5+$$\frac{2}{3}$$ which is $$\frac{15+2}{3}$$
= $$\frac{17}{3}$$. Question 14.
a. $$\frac{5}{8}$$–$$\frac{1}{8}$$ = $$\frac{1}{2}$$.

Explanation:
The subtraction of $$\frac{5}{8}$$–$$\frac{1}{8}$$ which is $$\frac{5-1}{8}$$
= $$\frac{4}{8}$$
= $$\frac{1}{2}$$. b. $$\frac{6}{9}$$–$$\frac{2}{3}$$ = 0.

Explanation:
The subtraction of $$\frac{6}{9}$$–$$\frac{2}{3}$$ which is
= $$\frac{18-18}{9}$$
= 0. c. $$\frac{10}{11}$$–$$\frac{4}{5}$$ = $$\frac{6}{55}$$.

Explanation:
The subtraction of $$\frac{10}{11}$$–$$\frac{4}{5}$$ which is
= $$\frac{50-44}{55}$$
= $$\frac{6}{55}$$. d. 7-$$\frac{3}{4}$$ = 6$$\frac{1}{4}$$.

Explanation:
The subtraction of 7-$$\frac{3}{4}$$ which is
= $$\frac{28-3}{4}$$
= $$\frac{25}{4}$$
= 6$$\frac{1}{4}$$. Question 15.
a. 2$$\frac{3}{4}$$+4$$\frac{2}{3}$$ = 8$$\frac{1}{12}$$.

Explanation:
The addition of 2$$\frac{3}{4}$$+4$$\frac{2}{3}$$ which is
= $$\frac{11}{4}$$+$$\frac{14}{3}$$
= $$\frac{33+64}{12}$$
= $$\frac{97}{12}$$
= 8$$\frac{1}{12}$$. b. 8$$\frac{1}{3}$$+8$$\frac{5}{7}$$ = 17$$\frac{1}{21}$$.

Explanation:
The addition of 8$$\frac{1}{3}$$+8$$\frac{5}{7}$$ which is
= $$\frac{25}{3}$$+$$\frac{61}{7}$$
= $$\frac{175+183}{21}$$
= $$\frac{358}{21}$$
= 17$$\frac{1}{21}$$. c. 2$$\frac{5}{8}$$+9$$\frac{3}{4}$$ = 12$$\frac{3}{8}$$.

Explanation:
The addition of 2$$\frac{5}{8}$$+9$$\frac{3}{4}$$ which is
= $$\frac{21}{8}$$+$$\frac{39}{4}$$
= $$\frac{84+312}{32}$$
= $$\frac{396}{32}$$
= 12$$\frac{12}{32}$$
= 12$$\frac{3}{8}$$. d. 2$$\frac{5}{6}$$+1$$\frac{1}{8}$$ = 3$$\frac{23}{24}$$.

Explanation:
The addition of 2$$\frac{5}{6}$$+1$$\frac{1}{8}$$ which is
= $$\frac{17}{6}$$+$$\frac{9}{8}$$
= $$\frac{136+54}{48}$$
= $$\frac{190}{48}$$
= $$\frac{1}{48}$$
= 3$$\frac{46}{48}$$
= 3$$\frac{23}{24}$$. Question 16.
a. 5$$\frac{7}{12}$$-1$$\frac{5}{12}$$ = 4$$\frac{1}{6}$$.

Explanation:
The subtraction of 5$$\frac{7}{12}$$-1$$\frac{5}{12}$$ which is
= $$\frac{67}{12}$$–$$\frac{17}{12}$$
= $$\frac{67-17}{12}$$
= $$\frac{50}{12}$$
= 4$$\frac{2}{12}$$
= 4$$\frac{1}{6}$$. b. 7$$\frac{1}{4}$$-3$$\frac{2}{9}$$ = 4$$\frac{1}{36}$$.

Explanation:
The subtraction of 7$$\frac{1}{4}$$-3$$\frac{2}{9}$$ which is
= $$\frac{29}{4}$$–$$\frac{29}{9}$$
= $$\frac{261-116}{36}$$
= $$\frac{145}{36}$$
= 4$$\frac{1}{36}$$. c. 8$$\frac{1}{4}$$-5$$\frac{3}{4}$$ = 2$$\frac{1}{2}$$.

Explanation:
The subtraction of 8$$\frac{1}{4}$$-5$$\frac{3}{4}$$ which is
= $$\frac{33}{4}$$–$$\frac{23}{4}$$
= $$\frac{33-23}{4}$$
= $$\frac{10}{4}$$
= 2$$\frac{2}{4}$$
= 2$$\frac{1}{2}$$. d. 8$$\frac{1}{3}$$-3$$\frac{1}{2}$$ = 4$$\frac{5}{6}$$.

Explanation:
The subtraction of 8$$\frac{1}{3}$$-3$$\frac{1}{2}$$ which is $$\frac{25}{3}$$–$$\frac{7}{2}$$
= $$\frac{50-21}{6}$$
= $$\frac{29}{6}$$
= 4$$\frac{5}{6}$$. Simplify each of the following.

Question 17.
a. $$\frac{18}{20}$$ _____
$$\frac{9}{10}$$.

Explanation:
The simplest form of $$\frac{18}{20}$$ is $$\frac{9}{10}$$ as the both numbers are divisible by 2. So we will divide them with 2.

b. $$\frac{28}{35}$$ _____
$$\frac{4}{5}$$.

Explanation:
The simplest form of $$\frac{28}{35}$$ is $$\frac{4}{5}$$ as the both numbers are divisible by 7. So we will divide them with 7.

c. 2$$\frac{2}{12}$$ _____
2$$\frac{1}{6}$$

Explanation:
The simplest form of 2$$\frac{2}{12}$$ which is $$\frac{26}{12}$$ = $$\frac{13}{6}$$ which is 2$$\frac{1}{6}$$ as the both numbers are divisible by 2. So we will divide them with 2.

Question 18.
a. 3$$\frac{4}{6}$$ _____
3$$\frac{2}{3}$$.

Explanation:
The simplest form of 3$$\frac{4}{6}$$ which is $$\frac{22}{6}$$ as the both numbers are divisible by 2. So we will divide them with 2. Then $$\frac{11}{3}$$ which is 3$$\frac{2}{3}$$.

b. $$\frac{51}{6}$$ _____
8$$\frac{1}{2}$$.

Explanation:
The simplest form of $$\frac{51}{6}$$ is $$\frac{17}{2}$$ as the both numbers are divisible by 3. So we will divide them with 3. Then 8$$\frac{1}{2}$$.

c. 7$$\frac{8}{12}$$ _____
7$$\frac{2}{3}$$.

Explanation:
The simplest form of 7$$\frac{8}{12}$$ which is $$\frac{92}{12}$$ as the both numbers are divisible by 4. So we will divide them with 4. Then $$\frac{23}{3}$$ which is 7$$\frac{2}{3}$$.

Write each improper fraction as a mixed number in simplest form.

Question 19.
a. $$\frac{18}{8}$$ _____
2$$\frac{1}{4}$$.

Explanation:
The mixed fraction of $$\frac{18}{8}$$ is 2$$\frac{2}{8}$$ which is 2$$\frac{1}{4}$$.

b. $$\frac{51}{9}$$ _____
5$$\frac{2}{3}$$.

Explanation:
The mixed fraction of $$\frac{51}{9}$$ is 5$$\frac{6}{9}$$ which is 5$$\frac{2}{3}$$.

c. $$\frac{34}{3}$$ _____
11$$\frac{1}{3}$$.

Explanation:
The mixed fraction of $$\frac{34}{3}$$ is 11$$\frac{1}{3}$$.

Question 20.
a. $$\frac{53}{12}$$ _____
4$$\frac{5}{12}$$.

Explanation:
The mixed fraction of $$\frac{53}{12}$$ is 4$$\frac{5}{12}$$.

b. $$\frac{82}{8}$$ _____
5$$\frac{1}{4}$$.

Explanation:
The mixed fraction of $$\frac{82}{8}$$ is 5$$\frac{1}{4}$$.

c. $$\frac{66}{7}$$ _____
9$$\frac{3}{7}$$.

Explanation:
The mixed fraction of $$\frac{66}{7}$$ is 9$$\frac{3}{7}$$.

Write each mixed number as an improper fraction.

Question 21.
a. 4$$\frac{1}{3}$$ _____
$$\frac{13}{3}$$.

Explanation:
The improper fraction of 4$$\frac{1}{3}$$ is $$\frac{13}{3}$$.

b. 7$$\frac{5}{9}$$ _____
$$\frac{68}{9}$$.

Explanation:
The improper fraction of 7$$\frac{5}{9}$$ which is $$\frac{68}{9}$$.

c. 1$$\frac{7}{10}$$ _____
$$\frac{17}{10}$$.

Explanation:
The improper fraction of 1$$\frac{7}{10}$$ which is $$\frac{17}{10}$$.

Question 22.
a. 3$$\frac{3}{4}$$ _____
$$\frac{15}{4}$$.$$\frac{15}{4}$$.

Explanation:
The improper fraction of 3$$\frac{3}{4}$$ which is $$\frac{15}{4}$$.

b. 5$$\frac{11}{12}$$ _____
$$\frac{71}{12}$$.

Explanation:
The improper fraction of 5$$\frac{11}{12}$$ which is $$\frac{71}{12}$$.

c. 8$$\frac{2}{9}$$ _____
$$\frac{74}{9}$$.

Explanation:
The improper fraction of 8$$\frac{2}{9}$$ which is $$\frac{74}{9}$$.

Compare each pair of numbers using <, >, or =.

Question 23.
a. $$\frac{7}{8}$$ _____ $$\frac{9}{10}$$
$$\frac{7}{8}$$ < $$\frac{9}{10}$$.

Explanation:
As $$\frac{7}{8}$$ is 0.875 and $$\frac{9}{10}$$ is 0.9. So $$\frac{7}{8}$$ < $$\frac{9}{10}$$.

b. $$\frac{1}{4}$$ _____ $$\frac{4}{10}$$
$$\frac{1}{4}$$ < $$\frac{4}{10}$$.

Explanation:
As $$\frac{1}{4}$$ is 0.25 and $$\frac{4}{10}$$ is 0.4. So $$\frac{1}{4}$$ < $$\frac{4}{10}$$.

c. $$\frac{2}{3}$$ _____ $$\frac{9}{10}$$
$$\frac{2}{3}$$ < $$\frac{9}{10}$$.

Explanation:
As $$\frac{2}{3}$$ is 0.67 and $$\frac{9}{10}$$ is 0.9. So $$\frac{2}{3}$$ < $$\frac{9}{10}$$.

d. $$\frac{8}{10}$$ _____ $$\frac{2}{3}$$
$$\frac{8}{10}$$ > $$\frac{2}{3}$$.

Explanation:
As $$\frac{8}{10}$$ is 0.8 and $$\frac{2}{3}$$ is 0.67. So $$\frac{8}{10}$$ > $$\frac{2}{3}$$.

Question 24.
a. 80.59 _____ 80.67
80.59<80.67.

Explanation:
Here, 80.59 is less than 80.67. So 80.59<80.67.

b. 46.94 _____ 46.37
46.94>46.37.

Explanation:
Here, 46.94 is greater than 46.37. So 46.94>46.37.

c. 54.72 _____ 54.27
54.72>54.27.

Explanation:
Here, 54.72 is greater than 54.27. So 54.72>54.27.

d. 86.4 _____ 80.40
86.4>80.40.

Explanation:
Here, 86.4 is greater than 80.40. So 86.4>80.40.

Put the numbers in order from least to greatest.

Question 25.
0.1, $$\frac{1}{4}$$, 3.1, $$\frac{1}{3}$$
0.1, 0.25, 0.33, 3.1.

Explanation:
Given the values are 0.1, $$\frac{1}{4}$$ which is 0.25, 3.1 and $$\frac{1}{3}$$ which is 0.33. So the numbers from least to greatest are 0.1, 0.25, 0.33, 3.1.

Question 26.
0.5, $$\frac{5}{8}$$, 0.7, $$\frac{1}{9}$$
0.11, 0.5, 0.625, 0.7.

Explanation:
Given the values are 0.5, $$\frac{5}{8}$$ which is 0.625, 0.7, $$\frac{1}{9}$$ which is 0.11. So the numbers from least to greatest are 0.11, 0.5, 0.625, 0.7.

Question 27.
$$\frac{3}{2}$$, 1.7, $$\frac{1}{150}$$, $$\frac{8}{3}$$
Given the values are $$\frac{3}{2}$$ which is 1.5, 1.7, $$\frac{1}{150}$$ which is 0.0067, $$\frac{8}{3}$$ which is 2.67. So the numbers from least to greatest are 0.0067, 1.5, 1.7, 2.67.