Vocabulary
What is the number that tells us how many times a base is multiplied by itself called?
Exponent
What is the value of the 7 in 3.72?
7 tenths (0.7)
5.7 × 10 = ?
57
Write 10 × 10 using an exponent.
10²
How many centimeters are in 1 meter?
100 cm
What is the base in 10⁴?
10
In the number 4.582, which place is the 8 in?
Hundredths
4.5 × 100 = ?
450
Write 1,000 in exponential form.
10³
Convert 3 meters to centimeters.
300 cm
What does the exponent in 10³ tell you?
There are 3 factors of 10 / 10 × 10 × 10
In 6.34, the 3 is 10 times as much as which digit?
The 4
63.2 ÷ 10 = ?
6.32
Write 10,000 in exponential form.
10⁴
Convert 4.2 meters to centimeters.
420 cm
What does it mean if one digit is 1/10 as much as the digit in the place to its left?
Its value is 10 times smaller.
How many times as much is the 6 in 6.2 compared to the 6 in 0.62?
10 times as much
7.84 ÷ 1,000 = ?
0.00784
What is 10⁵ written as a standard number?
100,000
Convert 5 kilometers to meters. What power of 10 did you use for this conversion?
5,000 m; 10³
Explain the connection between place value and powers of 10.
Each place value represents a power of 10, and moving between places changes the value by a factor of 10.
Explain why moving one place to the left on a place value chart makes a digit worth 10 times as much.
Each place is 10 times the value of the place to its right.
0.56 × 1,000 = ? Explain how you know where the decimal belongs.
560; move the decimal 3 places right because 1,000 = 10³.
Without calculating, explain why 10³ means you move 3 places on a place value chart when multiplying or dividing by 10³.
The exponent tells how many factors of 10 there are, so it tells how many places to move.
Convert 3.45 kilometers to meters. Explain your process.
3,450 m