Vocabulary
What is the vocabulary word for the 3 in the power below?
34
Base
Write the first 6 prime numbers
2, 3, 5, 7, 11, 13
Draw a T-chart with titles: exponential, expanded, and standard.
Place 43 in the chart and then fill in the rest of the blanks.
exponential expanded standard
43 4x4x4 64
Write the prime factorization using exponents 42
2 * 3 * 7
What are 3 different ways to say 73 in words?
seven to the power of 3
seven to the third power
seven cubed
Fill in the blank.
An exponent tells you how many times to _________________ the base times ____________.
An exponent tells you how many times to multiply the base times itself.
Is 7 a prime number, composite number, or neither?
7 is Prime because its only factors are 1 and 7
Draw a T-chart with titles: exponential, expanded, and standard.
Place 2x2x2x2 in the chart and then fill in the rest of the blanks.
exponential expanded standard
24 2x2x2x2 16
Write the prime factorization using exponents 48
24 * 3
What does prime factorization mean?
Prime factorization means the list of factors that multiply together to create a composite number.
What is a prime number?
A prime number is a number that only has 2 factors (1 and itself)
Is 82 a prime number, composite number, or neither?
The number 82 is composite because it has more factors than 1 and itself. The number 82 ends in a 2, which means it is an even number and is divisible by 2. (There are more factors, but that's the most obvious one).
Factors of 82: 1,2,41,82
Draw a T-chart with titles: exponential, expanded, and standard.
Place 73 in the chart and then fill in the rest of the blanks.
exponential expanded standard
73 7x7x7 343
Write the prime factorization using exponents 60
22 * 3 * 5
Jacob says that 23 is equal to 6 because 2x3=6. is he correct? Why or why not?
Jacob is incorrect because 23 does not mean 2x3, it means 2x2x2
What form is 47 written in?
Exponential form
Is 0 a prime number, composite number, or neither?
0 is neither prime nor composite. It can not be divided by any number. 0 and 1 are the only numbers that are not prime and are nor composite.
Draw a T-chart with titles: exponential, expanded, and standard.
Place 27 in the chart and then fill in the rest of the blanks.
exponential expanded standard
33 3x3x3 27
Write the prime factorization using exponents 54
2 * 33
Why is 82 sometimes called 8 squared?
Where does the word squared come from?
Any number with the exponent of 2 can be referred to as a number squared because multiplying a number times itself will always create a square where the area is equal to the power.
What is the term 63 called?
The term 63 is called a power
Is 63 a prime number, composite number, or neither?
The number 63 is a composite number because it has more factors than 1 and 63.
You can tell by checking divisibility of 3. (The trick: add the digits in the number together 6+3=9. If 3 can divide the sum, it can divide the whole number.) Since 9 is divisible by 3, 63 is too and that means tat 3 is another factor!
Draw a T-chart with titles: exponential, expanded, and standard.
Place 55 in the chart and then fill in the rest of the blanks.
exponential expanded standard
55 5x5x5x5x5 3,125
Write the prime factorization using exponents 150
2 * 3 * 52
What mistake was made in evaluating the power below?
25
2x2x2x2x2
4+4+2
8+2
10
Everything underneath 2x2x2x2x2 is wrong.
The numbers should be getting multiplied together, not added together.