Numbers - Exponents (Part 1)

FOCUS QUESTION

How do I write numbers in the different number system?

SPECIFIC OBJ.

1.  Read, write and use numbers, using the principle of place value, in the Hindu-Arabic system of numeration.

2. Write numbers in exponential form

CONTENT SUMMARY

Each place on the place value chart represents a power of ten. As we move left of the decimal place, the numbers increase in value. The opposite happens when we move right of the decimal point. All digit to the left of the decimal point are whole numbers. Digits to the right of the decimal point are fractional numbers. Every digit has three values: the place, the face and the actual or true value. The place times the place gives the actual value.

The factors of a number are all the numbers that are able to completely divide a given number without leaving a remainder. One (1) is a universal factor.

Prime factors are factors that are prime numbers.

ENGAGE

Students will review what factors are and provide the factors of given numbers. Tell what prime numbers are, and provide a definition for same.

Find a working definition for prime factors and prime factorization.

EXPLORE

Today we will be finding the prime factors of a number by way of factorization.

Take a look at the chart below. This is what a factor tree looks like.

Let's listen to this video clip to gain more insights on prime factorization.

Let's try to see if we can complete this one together by factoring these number to their prime factors.

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Now students we can go further after factoring our numbers in prime numbers. We can write our answers in what is called EXPONENT form.

I want you to watch this video clip carefully as it teaches how to write numbers in exponential form

What is meant by exponent. 

Let's consider the factor trees below. Can you now write your answers as exponents?

EXPLAIN

Explain what is meant by prime factorization.

Explain what is meant by exponent form.

EXTEND/ELABORATE

You may find a partner and see how quickly you could complete the first 5 questions.

EVALUATION

1.  Complete the table below

Numbers	Factors	Prime factors
18
30

 2.  Use factor trees to derive at the prime factors of the following:

      24                                      16                                                   60

                                                                                                                                    16

 

W   3 Write true or false at the end of each statement below.

(a)    2 is the only even prime number. ________________________

(b)   A number with only two factors is a prime number. _________

(c)    There are 6 prime numbers between 1 and 14.   _____________

4. Complete the factor tree below.

Write your answer in exponential form afterwards.