Place Value Power
In 7,777, how many times greater is the 7 in the thousands place than the 7 in the hundreds place?
10 times greater
Write 10 × 10 × 10 as a power of 10.
10³
A water bottle holds 750 mL. Which is the more reasonable estimate: 1 L or 10 L?
1 liter
Convert 6 meters to centimeters.
600 centimeters
Convert 5 feet to inches.
60 inches
In 5.55, compare the value of the 5 in the ones place to the 5 in the tenths place.
The 5 in the ones place is 10 times the value of the 5 in the tenths place.
Find 6.28 × 10².
628
A class recorded books read: Mon 18, Tue 24, Wed 21, Thu 27. How many more books were read Thursday than Monday?
9 books
Convert 3,500 milliliters to liters.
3.5 liters
Convert 3 pounds 8 ounces to ounces.
56 ounces
In 84.448, the 4 in the tenths place is how many times the value of the 4 in the thousandths place?
100 times
Find 45,700 ÷ 10³.
45.7
A runner completes 3 laps of 450 meters each. How many meters does the runner travel?
1,350 meters
A trail is 2 kilometers 450 meters long. How many meters long is the trail?
2,450 meters
A movie lasts 2 hours 35 minutes. How many minutes is that?
155 minutes
In 6.666, explain the relationship between the 6 in the hundredths place and the 6 in the tenths place.
The 6 in the hundredths place is one-tenth the value of the 6 in the tenths place.
A number becomes 3.84 when it is divided by 100. What was the original number?
384
A table shows plant growth: Week 1 = 4 cm, Week 2 = 7 cm, Week 3 = 13 cm, Week 4 = 16 cm. Between which weeks was the greatest increase?
Weeks 2 and 3, with an increase of 6 cm.
A container holds 4.2 liters. After 650 milliliters are poured out, how many milliliters remain?
3,550 milliliters
A cooler holds 6 gallons of water. After 5 quarts are used, how many quarts remain?
19 quarts
A student says the 9 in 92.9 has the same value in both places because the digits match. Prove the student wrong.
The 9 in the tens place is 90 and the 9 in the tenths place is 0.9; 90 is 100 times 0.9.
Maya says multiplying 7.05 by 10² means adding two zeros to get 7.0500. Explain her error and give the correct product.
The digits shift two places left in value; 7.05 × 100 = 705.
A recipe uses 600 mL of juice per pitcher. There are 4 pitchers, but 350 mL is left over. How many milliliters were poured into cups? Explain.
2,050 mL, because 4 × 600 = 2,400 and 2,400 − 350 = 2,050.
Two ropes measure 3.6 meters and 245 centimeters. What is their total length in centimeters? Show your reasoning.
605 centimeters, because 3.6 m = 360 cm and 360 + 245 = 605.
A store has 3 equal bags of trail mix. Each bag weighs 4 pounds 10 ounces. What is the total weight in ounces? Explain.
222 ounces, because each bag is 74 ounces and 74 × 3 = 222.