Expanded and Exponential Forms
What is the EXPANDED form of 103?
10 x 10 x 10
What is the word form for 100?
One
What is the value of (7 X 103)?
7,000
Find the value: 2 X 103
2,000
103 is the same thing as 1,000, so 2 X 1,000 = 2,000.
Find the value: 23 divided by 102
0.23
DIVIDING means to make SMALLER. If I divided a candy bar between three people, each person would get a SMALLER piece than if I ate the whole candy bar by myself.
When dividing by 102, you move the decimal 2 spaces to the left to make a SMALLER NUMBER. Taking the whole number 23, placing a decimal at the end, and then moving the decimal two places to the left gives us 0.23 which is twenty-three hundredths.
What is the EXPANDED form of 105?
10 X 10 X 10 X 10 X 10
What is the word form for 101?
Ten
What is the value of (4 X 103) + (3 X 102)?
4,300
Find the value: 7 X 106
7,000,000
106 is the same thing as 1,000,000, so 7 X 1,000,000 = 7,000,000.
Find the value: 17 divided by 100
17
100 is the same thing as 1, so 17 divided by one is 17.
What is the exponential form of 10 X 10 X 10? Give your answer using 10 as the base and an exponent for the power of 10.
103
What is the word form for 102?
One Hundred
If the expanded form of 2,500 is 2,000 + 500, how would you write the expanded notation as a power of 10 for the number 2,500?
(2 X 103) + (5 X 102)
Explanation:
2,000 = 2 X 103
500 = 5 X 102
Find the value: 12 X 103
12,000
103 is the same thing as 1,000, so 12 X 1,000 = 12,000.
Find the value: 45 divided by 101
4.5
DIVIDING means to make SMALLER. If I divided a candy bar between three people, each person would get a SMALLER piece than if I ate the whole candy bar by myself.
When dividing by 101, you move the decimal 1 space to the left to make a SMALLER NUMBER. Taking the whole number 45, placing a decimal at the end, and then moving the decimal one place to the left gives us 4.5 which is four and five tenths.
What is the exponential form of 1,000? Give your answer using 10 as the base and an exponent for the power of 10.
103
What is the word form for 103?
One Thousand
If the expanded form of 3,700 is 3,000 + 700, how would you write the expanded notation as a power of 10 for the number 3,700?
(3 X 103) + (7 X 102)
Explanation:
3,000 = 3 X 103
700 = 7 X 102
Find the value: 15 X 102
1,500
102 is the same thing as 100, so 15 X 100 = 1,500.
Find the value 273 divided by 103
0.273
DIVIDING means to make SMALLER. If I divided a candy bar between three people, each person would get a SMALLER piece than if I ate the whole candy bar by myself.
When dividing by 103, you move the decimal 3 spaces to the left to make a SMALLER NUMBER. Taking the whole number 273, placing a decimal at the end, and then moving the decimal three places to the left gives us 0.273 which is two hundred seventy three thousandths.
What is the exponential form of 10,000? Give your answer using 10 as the base and an exponent for the power of 10.
104
What is the word form for 104?
Ten Thousand
How would you write expanded notation as a power of 10 for the number 6,200?
(6 X 103) + (2 X 102)
Find the value: 842 X 102
84,200
102 is the same thing as 100, so 842 X 100 = 84,200.
If you found the value of 278 X 103 and then divided that answer by 104, what would the value be?
278 X 103 = 278,000
278,000 divided by 104 = 27.8
DIVIDING means to make SMALLER. If I divided a candy bar between three people, each person would get a SMALLER piece than if I ate the whole candy bar by myself.
When dividing by 104, you move the decimal 4 spaces to the left to make a SMALLER NUMBER. Taking the whole number 278,000, placing a decimal at the end, and then moving the decimal four places to the left gives us 27.8 which is twenty-seven and eight tenths.