Place Value Understanding
In the number 45,672, what is the value of the digit 5?
5,000
Solve: 36 × 10
360
What does 10² mean?
10 × 10
Complete the equation: 6 × 10² = ___
600
Convert the measurement:
7 kg = ____ g
7,000 g
In 382,416, which digit is in the ten thousands place?
8
Solve: 4,500 ÷ 100
45
Write 10³ as repeated multiplication.
10 × 10 × 10
Complete the equation: 8,000 ÷ 10² = ___
80
Convert each measurement:
9 L = ____ mL
6 km = ____ m
9,000 mL
6,000 m
The digit 7 is worth 70,000 in a number. What place is the 7 in?
Ten thousands place
What number makes this equation true? 72 × ___ = 7,200
100
What is the value of 10⁴?
10,000
Which is equal to 4,000: 4 × 10² or 4 × 10³?
4 × 10³
Convert each measurement:
82,700 g = ____ mg
45 m = ____ cm
82,700,000 mg
4,500 cm
A student says that the 6 in 364,219 is worth 6,000. Is the student correct? Explain.
No. The 6 is in the ten thousands place, so it is worth 60,000.
Without solving the entire problem, explain what happens to the digits when you calculate 5,600 ÷ 100.
The digits move 2 places to the right, giving 56.
Which is greater: 10² or 10³? How do you know?
10³; 10³ = 1,000 and 10² = 100.
Write 70,000 using multiplication and a power of 10.
7 × 10⁴
Ally is decorating a room for a school event. She has a ribbon that is 8 meters 35 centimeters long. What is the total length of the ribbon in centimeters?
835 centimeters
The digit 4 in a number has a value of 400,000. If the 4 moves two places to the right, what will its new value be?
4,000
A student says 42,000 ÷ 1,000 = 4,200. Explain the mistake and give the correct answer.
The student moved the digits only one place instead of three. The answer is 42.
A student says 10⁴ = 40 because 10 × 4 = 40. Explain the mistake and give the correct value.
The exponent tells how many times 10 is used as a factor. 10⁴ = 10 × 10 × 10 × 10 = 10,000.
A number is multiplied by 10³ and the result is 56,000. What was the original number?
56
A scientist has 4 liters 275 milliliters of water. She wants to record the total amount in milliliters. How many milliliters of water does she have?
4,275 milliliters