Are you struggling with math exercises in your Grade 5 textbook? Don’t worry, we’ve got you covered! In this article, we will provide you with step-by-step solutions and answers to the exercises in your Grade 5 math workbook. Our goal is to help you review and reinforce the concepts taught in your textbook. So, let’s dive right in!
Solving Exercise 1 on Page 124 of Grade 5 Math Workbook
Calculate the following:
Solution:
- To solve this exercise, apply the multiplication or division rules you have learned about decimal numbers.
- To multiply two fractions, multiply the numerators together and multiply the denominators together.
- To divide two fractions, multiply the first fraction by the reciprocal of the second fraction.
Answer:
Solving Exercise 2 in Grade 5 Math Workbook on Page 124
Find the value of x:
a. 0.24 ⨯ x = 3
b. x : 3.5 = 2
c. 8.4 : x = 6
d. 0.1 ⨯ x = 1/2
Solution:
Apply the following rules:
- To find an unknown factor, divide the product by the known factor.
- To find the dividend, multiply the quotient by the divisor.
- To find the divisor, divide the dividend by the quotient.
Answer:
a. 0.24 × x = 3
x = 3 : 0.24
x = 12.5
b. x : 3.5 = 2
x = 2 × 3.5
x = 7
c. 8.4 : x = 6
x = 8.4 : 6
x = 1.4
d. 0.1 × x = 1/2
x = 0.5 : 0.1
x = 5
Solving Exercise 3 in Grade 5 Math Workbook on Page 125
The total area of agricultural land in a district is 7,200 hectares. Among that, 55% is cultivated with rice, 30% is cultivated with tea and fruit trees, and the rest is cultivated with flowers. Calculate the area of land cultivated with flowers in the district.
Solution:
- Calculate the area of land cultivated with rice, tea, and fruit trees using the following rule:
To find a% of B, you can divide B by 100 and multiply it by a, or multiply B by a and divide it by 100. - The area of land cultivated with flowers = Total area of agricultural land in the district – area of land cultivated with rice – area of land cultivated with tea and fruit trees.
Solution 1:
The area of land cultivated with rice is:
7200 : 100 ⨯ 55 = 3960 hectares
The area of land cultivated with tea and fruit trees is:
7200 : 100 ⨯ 30 = 2160 hectares
The area of land cultivated with flowers is:
7200 – 3960 – 2160 = 1080 hectares
Solution 2:
The percentage of land cultivated with rice, tea, and fruit trees:
55% + 30% = 85%
The percentage of land cultivated with flowers:
100% – 85% = 15%
The area of land cultivated with flowers is:
7200 : 100 ⨯ 15 = 1080 hectares
Answer: The area of land cultivated with flowers in the district is 1080 hectares.
Solving Exercise 4 in Grade 5 Math Workbook on Page 125
A breakfast stall earned 600,000 Vietnamese dong. It made a profit of 25% compared to the capital invested. What was the amount of the capital invested?
Solution:
Apply the formula: selling price = capital + profit.
Solution:
Considering the profit as a percentage of the invested capital, 600,000 Vietnamese dong is equal to:
100% + 25% = 125% of the capital.
The amount of capital invested is:
600,000 x 100 / 125 = 480,000 Vietnamese dong.
Answer: The capital invested was 480,000 Vietnamese dong.
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