New

Powers and roots using a calculator

I can use the keys for squares and other powers and square root on a calculator.

Download all

View unit

Lesson 11 of 19

New

Year 7

Powers and roots using a calculator

I can use the keys for squares and other powers and square root on a calculator.

Download all

Lesson slides

Download lesson slides

Skip lesson slides

Lesson details

Key learning points

The square root of any number can be found using a calculator but it may not be an integer.
The power button on a calculator can be used to evaluate a number written using exponents.
The 10^x button on a calculator can be used when the base is 10.

Keywords

Evaluate - Evaluate means to find the value of a numerical or an algebraic expression.

Common misconception

Students forget to scroll right to exit the exponent function.

Encourage students to check what they have on their screen matches the calculation exactly.

Use Classwiz 991 for consistency

Teacher tip

Equipment

Licence

This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

Skip lesson video

Worksheet

Download worksheet

Skip worksheet

Prior knowledge starter quiz

Download quiz pdf

6 Questions

Q1.
Here is $$6^9$$. What does the number 9 represent?

the base

Correct answer: the exponent

the factor

the multiple

Q2.
Here is $$3^5$$. What does this mean?

3 + 3 + 3 + 3 + 3

Correct answer: $$3\times3\times3\times3\times3$$

$$3\times4$$

3 lots of 5

Q3.
How would you pronounce $$5^8$$?

Correct answer: Five to the power of eight

Five multiplied by eight

Eight to the power of five

Five squared four times

Q4.
Alex says, "$$1^{100}$$ is 100 as there is only one 100". Select the statement which explains if Alex is correct or not.

$$1^{100}$$ is 100 as it means $$1\times100$$ so Alex is correct

$$1^{100}$$ is 100 as it means 100 ones added together so Alex is correct

Correct answer: $$1^{100}$$ is 1 because 1 times by itself 100 times is 1 so Alex is incorrect

$$1^{100}$$ is 100 because 1 times by itself 100 times is 100 so Alex is correct

Q5.
Starting with the smallest, put these numbers in ascending order of size.

1 - $$1^8$$

2 - $$2^3$$

3 - $$3^2$$

4 - $$12^1$$

5 - $$5^2$$

6 - $$10^2$$

Q6.
The square root of the square root of 81 is

Correct Answer: 3, three

Assessment exit quiz

Download quiz pdf

6 Questions

Q1.
__________ means to find the value of a numerical or an algebraic expression.

Solve

Figure out

Correct answer: Evaluate

Square root

Q2.
Evaluate $$\sqrt{64} + 2^3$$

Correct answer: 16

Q3.
Use a calculator to evaluate $$39.5^4$$. Write all the digits from your calculator display.

Correct Answer: 2 434 380.063

Q4.
Use a calculator to evaluate $$3.4^3 - 2.1^4$$. Write all the digits from your calculator display.

Correct Answer: 19.8559

Q5.
Use a calculator to evaluate $$\sqrt{76.7376} - 2.3^2$$. Write all the digits from your calculator display.

Correct Answer: 3.47

Q6.
Use a calculator to evaluate $$3.4\times10^3+\sqrt{4738}-6.3^3-9.1^2$$. Write all the digits from your calculator display.

Correct Answer: 3135.976132, 3135.97613

Lesson appears in

UnitMaths / Properties of number: factors, multiples, squares and cubes

Maths

Show unit

Choose exam board for KS4 Biology

Choose exam board for KS4 Chemistry

Choose exam board for KS4 Combined science

Choose exam board for KS4 Computer Science (GCSE)

Choose exam board for KS4 English

Choose exam board for KS4 French

Choose exam board for KS4 Geography

Choose exam board for KS4 German

Choose exam board for KS4 History

Choose tier for KS4 Maths

Choose exam board for KS4 Music

Choose exam board for KS4 Physical education (GCSE)

Choose exam board for KS4 Physics

Choose exam board for KS4 Religious education (GCSE)

Choose exam board for KS4 Spanish

Powers and roots using a calculator

Powers and roots using a calculator

Lesson slides

Lesson details

Key learning points

Keywords

Common misconception

Equipment

Licence

Lesson video

Worksheet

Prior knowledge starter quiz

6 Questions

Q1.Here is $$6^9$$. What does the number 9 represent?

Q2.Here is $$3^5$$. What does this mean?

Q3.How would you pronounce $$5^8$$?

Q4.Alex says, "$$1^{100}$$ is 100 as there is only one 100". Select the statement which explains if Alex is correct or not.

Q5.Starting with the smallest, put these numbers in ascending order of size.

Q6.The square root of the square root of 81 is

Assessment exit quiz

6 Questions

Q1.__________ means to find the value of a numerical or an algebraic expression.

Q2.Evaluate $$\sqrt{64} + 2^3$$

Q3.Use a calculator to evaluate $$39.5^4$$. Write all the digits from your calculator display.

Q4.Use a calculator to evaluate $$3.4^3 - 2.1^4$$. Write all the digits from your calculator display.

Q5.Use a calculator to evaluate $$\sqrt{76.7376} - 2.3^2$$. Write all the digits from your calculator display.

Q6.Use a calculator to evaluate $$3.4\times10^3+\sqrt{4738}-6.3^3-9.1^2$$. Write all the digits from your calculator display.

Lesson appears in

UnitMaths / Properties of number: factors, multiples, squares and cubes

Maths

Q1.
Here is $$6^9$$. What does the number 9 represent?

Q2.
Here is $$3^5$$. What does this mean?

Q3.
How would you pronounce $$5^8$$?

Q4.
Alex says, "$$1^{100}$$ is 100 as there is only one 100". Select the statement which explains if Alex is correct or not.

Q5.
Starting with the smallest, put these numbers in ascending order of size.

Q6.
The square root of the square root of 81 is

Q1.
__________ means to find the value of a numerical or an algebraic expression.

Q2.
Evaluate $$\sqrt{64} + 2^3$$

Q3.
Use a calculator to evaluate $$39.5^4$$. Write all the digits from your calculator display.

Q4.
Use a calculator to evaluate $$3.4^3 - 2.1^4$$. Write all the digits from your calculator display.

Q5.
Use a calculator to evaluate $$\sqrt{76.7376} - 2.3^2$$. Write all the digits from your calculator display.

Q6.
Use a calculator to evaluate $$3.4\times10^3+\sqrt{4738}-6.3^3-9.1^2$$. Write all the digits from your calculator display.