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Math Workbook Grade 7 Volume 1, Kite Book - Exercise 3: Exponents with natural exponents of a rational number is a guide for solving exercises 1, 2... in the curriculum. Students can refer to it to perform the best.
Explore more helpful solving materials:
- Complete set of Solving Math for Grade 7, Kite Book
- Solving Math for Grade 7 pages 14, 15, Volume 1 of Connect Knowledge series - Focused practice on pages 14, 15
- Solving Math for Grade 7 pages 20, 21, Volume 1 of Creative Horizon series - Exercise 3: Exponents of a rational number
Solving Math for Grade 7 pages 20, 21 Kite Book Volume 1
Solving exercises on pages 20 and 21 of Math Workbook Grade 7 Volume 1, Kite Book:
Exercise 3: Exponents with natural exponents of a rational number
1. Solve Exercise 1 Page 20 Math Textbook Grade 7
Problem: Find the suitable number for ? in the table below:
Solution Guide:
The nth power of a rational number x, denoted as xn, is the product of n factors of x.
The number x is called the base, and n is called the exponent.
Answer:
2. Solve Exercise 2 Page 20 Math Textbook Grade 7
Problem: Compare:
Solution Guide: Perform the calculation and then compare.
Answer:
3. Solve Exercise 3 Page 20 Math Textbook Grade 7
Problem: Find x, knowing:
Solution Guide:
To find the divisor, divide the dividend by the quotient.
To find the exponent, we divide the product by the remaining factor.
Answer:
4. Solve Exercise 4 Page 20 Math Textbook Grade 7
Problem: Write the result of each calculation below in the form of an exponent of a.
Instructions: Utilize the following formulas:
Answer:
5. Solve Exercise 5 Page 20 Math Textbook Grade 7
Problem:
Guidance: Utilize the following formulas:
Answer:
6. Solve Exercise 6 Page 20 Math Textbook Grade 7
Problem:
Instructions:
The actual side length of the square = The side length of the square on the map. 100,000.
The area of a square with side length a is: a2.
Answer:
The actual length of the side of the square is:
0.7 multiplied by 100,000 equals 70,000 (cm) = 700 (m).
7. Solve Exercise 7 on Page 20 of Math Textbook Grade 7
Problem: Knowing that the speed of light is approximately 299,792,458 m/s and it takes about 8 minutes 19 seconds for sunlight to reach the Earth. (Source: https://en.wikipedia.org)
Approximately how many kilometers is the distance between the Sun and the Earth?
Solution: Distance = Speed × Time.
Answer:
8. Solve Exercise 8 on Page 21 of Math Textbook Grade 7
Problem: Two garden plots are in the shape of squares. The first garden plot has a side length of 19.5 m. The second garden plot has a side length of 6.5 m. How many times larger is the area of the first garden plot compared to the second one?
Solution:
- The area of a square with side length a is: a2.
- Calculate the area of the first and second garden plots.
- Calculate the area of the first garden plot and divide by the area of the second garden plot.
Answer:
So, the area of the first garden plot is 9 times the area of the second garden plot.
9. Solve Exercise 9 on Page 21 of Math Textbook Grade 7
The problem goes like this:
The decay cycle of Uranium 238, a radioactive element, is 4.468 x 10^9 years (meaning half of its mass remains after 4.468 x 10^9 years).
(Source: https://en.wikipedia.org https:)
a) What are three decay cycles of the radioactive element?
b) After three decay cycles, what fraction of the initial mass remains for the radioactive element?
Guidance for solving
Answer
Exercise 10 Solution Page 21 Math Textbook Grade 7
Problem Statement:
(Source: https://www.nasa.gov https:)
Solution Guide:
Answer:
The math workbook for 7th grade, Volume 1, Wings of Kite, provides detailed solutions for exercises 1, 2, 3... hoping it will be helpful for students studying Math.
Next Exercise:
- Solving math problems on page 25, 26 of Volume 1 of Wings of Kite textbook for 7th grade - Exercise 4. Order of operations. Parentheses rules
- Solving math problems on page 29 of Volume 1 of Wings of Kite textbook for 7th grade - Exercise 5. Decimal representation of rational numbers
