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Solutions for exercises on page 62 of Grade 5 Math textbook, Focus Practice - Including problem-solving methods
Solving exercise 1 on page 62 of Math 5 textbook
Problem:
Calculate:
a) 375.84 − 95.69 + 36.78 b) 7.7 + 7.3 x 7.4
Solution:
- For part a): Perform the calculation from left to right.
- For part b): Perform multiplication first, addition later.
Answer:
a) 375.84 − 95.69 + 36.78
= 280.15 + 36.78
= 316.93
b) 7.7 + 7.3 x 7.4
= 7.7 + 54.02
= 61.72.
Solving exercise 2 on page 62 of Math 5 textbook
Problem:
Calculate in two ways:
a) (6.75 + 3.25) x 4.2; b) (9.6 − 4.2) x 3.6;
Solution:
Method 1: Perform calculations inside the parentheses first, then outside the parentheses.
Method 2: Students apply the rules:
(a + b) x c = a x c + a x b
(a - b) x c = a x c - a x b
Answer:
a) Method 1: (6.75 + 3.25) x 4.2 = 10 x 4.2 = 42
Method 2: (6.75 + 3.25) x 4.2 = 6.75 x 4.2 + 3.25 x 4.2 = 28.35 + 13.65 = 42.
b) Method 1: (9.6 − 4.2) x 3.6 = 5.4 x 3.6 = 19.44.
Method 2: (9.6 −4.2) x 3.6 = 9.6 x 3.6 − 4.2 x 3.6 = 34.56 − 15.12 = 19.44.
Solving exercise 3 on page 62 of Math 5 textbook
Problem:
a) Calculate conveniently:
0.12 x 400;
4.7 x 5.5 − 4.7 x 4.5.
b) Calculate mentally to find x:
5.4 x x = 5.4
9.8 x x = 6.2 x 9.8
Solution:
Part a):
- Calculation 1: Convert to decimal form by multiplying with 100, then perform normal calculation.
- Calculation 2: Apply formula: (a - b) x c = a x c - b x c
Part b):
- Rule of multiplying a number by 1: a x 1 = a (Any number multiplied by 1 equals the number itself)
- Commutative property of multiplication: a x b = b x a.
Answer:
a)
0.12 x 400 = 0.12 x 100 x 4 = 12 x 4 = 48
4.7 x 5.5 − 4.7 x 4.5 = 4.7 x (5.5 − 4.5) = 4.7 x 1 = 4.7
b)
- We have: 5.4 x x = 5.4 => x = 1
- We have: 9.8 x x = 6.2 x 9.8 => x = 6.2.
Solution for Exercise 4 on page 62 of Grade 5 Math textbook
Problem:
Buying 4m of fabric costs 60000 dong. How much more money do you have to pay for buying 6.8m of the same fabric?
Solution:
- Summary of the problem:
4 meters of fabric: 60000 dong
6.8 meters of fabric: more than ? dong.
- Solution method:
+ Calculate the amount of money to buy 1 meter of fabric by dividing the amount spent on buying 4 meters by 4.
+ Calculate the amount of money to buy 6.8 meters of fabric by multiplying the amount spent on buying 1 meter by 6.8.
+ To find out how much more money you have to pay for buying 6.8 meters of the same fabric, subtract the amount spent on buying 4 meters (given in the problem) from the amount spent on buying 6.8 meters (just found).
Answer:
Buying 1 meter of fabric costs:
60000 : 4 = 15000 (dong)
Buying 6.8 meters of fabric costs:
15000 x 6.8 = 102000 (dong)
Buying 6.8 meters of the same fabric costs more by:
102000 − 60000 = 42000 (dong)
Answer: 42000 dong.
Solving exercises on page 62 of Math 5 textbook, Focus Practice - Concise
Solving exercise 1 on page 62 of Math 5 textbook, Focus Practice
In Chapter II, we acquaint ourselves with decimal numbers, where the concept of decimal numbers is extensively used. Let's refer to Solving math exercises for grade 5, pages 34 and 35 for a better understanding of the subject.
Solving exercise 2 on page 62 of Math 5 textbook, Focus Practice
Solving exercise 3 on page 62 of Math 5 textbook, Focus Practice
Solving exercise 4 on page 62 of Math 5 textbook, Focus Practice
As you all know, the rules for performing addition, subtraction, and multiplication of decimal numbers are similar to the basic arithmetic operations of natural numbers. By solving exercise 5 on page 62, students have reinforced their knowledge of these basic arithmetic operations. We hope our concise and detailed suggestions here will help you actively improve the exercises given in the textbooks, as well as find quick and accurate solution methods to achieve high scores in upcoming short tests or conquer the upcoming semester exams. To effectively solve the exercises, students also need to be flexible in combining the skills and theoretical knowledge they have learned to complete their exercises. At the same time, students also need to practice solving more exercises to hone their calculation skills to the best.
Master the content of Multiplying a decimal number by another decimal number to enhance your Math solving skills.
Above is the suggested solution for Solving exercises on page 62 of Math 5 textbook, Concentrated Practice with detailed explanations. Prepare yourselves for the content of Dividing a decimal number by a natural number through Solving exercises on page 64 of Math 5 textbook and practice exercises on page 64 of Math 5 textbook through Solving exercises on page 64 of Math 5 textbook, Practice to excel in Math 5.
