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Number Trail Grade 5 / Week 01 / Thursday
4/6
Week 01 · Ten times and one tenth

Thursday

The map and the water
// Place value and powers of 10
⏱ about 15 min

Thursday: The map and the water

Chris the Coyote opens his storyteller's satchel and pulls out a folded map.

"One summer, Bennie planned a long walk to the waterfall," Chris begins.

"On his map, the trail was 2.5 centimeters long."

"Each centimeter on the map stood for 100 meters on the real trail."

"So Bennie multiplied 2.5 by 100 and got 250 meters."

"At the waterfall, he filled a big jug with 34.5 liters of water."

"He shared it equally into 10 buckets for his friends."

"Each bucket got 3.45 liters," Chris says with a grin.

Learn it: decimals times and divided by powers of 10

2.5 × 10 = 25. The digits move one place to the left.

2.5 × 100 = 250. The digits move two places to the left.

34.5 ÷ 10 = 3.45. The digits move one place to the right.

34.5 ÷ 100 = 0.345. The digits move two places to the right.

The decimal point stays still. It is the digits that move.

A place value chart showing 2.5
A place value chart showing 250
QUESTIONS ABOUT THE STORY
  • Read the question.
  • Tap your answer.
On the map the trail is 2.5 cm, and 1 cm stands for 100 meters. How many meters is the trail?
Bennie shares 34.5 liters of water equally into 10 buckets. How many liters go in each bucket?
Bennie divides 34.5 by 10. Which way do the digits move?
MULTIPLY DECIMALS BY POWERS OF 10
  • Read the question.
  • Tap your answer.
0.36 × 10 = ?
4.7 × 1,000 = ?
0.08 × 100 = ?
1.25 × 10 = ?
DIVIDE BY POWERS OF 10
  • Read the question.
  • Tap your answer.
8.2 ÷ 100 = ?
560 ÷ 1,000 = ?
73 ÷ 10 = ?
4.9 ÷ 10 = ?
MORE TRAIL PROBLEMS
  • Read the question.
  • Tap your answer.
One step on the map is 0.75 cm. How many centimeters are 100 steps?
Chris has 12.6 meters of rope. He makes 10 equal pieces. How long is each piece in meters?
A log weighs 3.2 kilograms. How many kilograms do 1,000 logs like it weigh?
SentenceTrue or false?
2.5 × 100 = 250?
34.5 ÷ 100 = 3.45?
0.6 × 10 = 6?
5.1 ÷ 10 = 0.51?
WHY THIS EXERCISE34.5 ÷ 100 is 0.345. The digits move two places to the right.
Try it
Find a ruler with centimeters and millimeters.
There are 10 millimeters in 1 centimeter.
Measure a spoon in centimeters, like 15.5 cm.
Multiply by 10 to find its length in millimeters.
Draw Bennie's map. Label the trail 2.5 cm and the real trail 250 m.

What a story! Tomorrow Freddy has a review game for the whole week.

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