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Week 05 · Decimal operations

Thursday

The cup puzzle
// Add, subtract, multiply and divide to hundredths
⏱ about 15 min

Thursday: The cup puzzle

Chris the Coyote tips his feathered hat and opens his satchel.

"One warm evening, Bruce filled a jug with 6.3 liters of water," he says.

"He poured it into small cups that each hold 0.7 liter."

"Every friend on the trail got a cup, and not a drop was left."

"Then Bennie shared 4.8 kilograms of apples into 4 baskets, the same in each."

Chris smiles. "So how many cups did Bruce fill?"

"And how many kilograms went in each basket? Let us find out together."

Learn it: divide a decimal by a whole number

4.8 is 48 tenths.

48 tenths ÷ 4 = 12 tenths.

12 tenths is 1.2, so each basket has 1.2 kilograms.

Check: 4 × 1.2 = 4.8.

DIVIDE BY A WHOLE NUMBER
  • Read the question.
  • Tap your answer.
4.8 ÷ 4 = ?
7.5 ÷ 5 = ?
0.84 ÷ 2 = ?
9.6 ÷ 3 = ?

Learn it: divide by a decimal

6.3 ÷ 0.7 asks: how many groups of 0.7 fit in 6.3?

Think in tenths: 6.3 is 63 tenths, and 0.7 is 7 tenths.

63 tenths ÷ 7 tenths = 9. So Bruce filled 9 cups.

Check: 9 × 0.7 = 6.3.

DIVIDE BY A DECIMAL
  • Read the question.
  • Tap your answer.
6.3 ÷ 0.7 = ?
2.4 ÷ 0.3 = ?
0.56 ÷ 0.08 = ?
5 ÷ 0.5 = ?
QUESTIONS ABOUT THE STORY
  • Read the question.
  • Tap your answer.
A cupBruce has 6.3 liters. Each cup holds 0.7 liter. How many cups can he fill?
An appleBennie shares 4.8 kilograms of apples into 4 baskets. How much is in each basket?
Chris walks 7.2 kilometers in 3 equal parts. How long is each part?
Hazel has a 1.5 meter ribbon. She cuts pieces 0.25 meter long. How many pieces?
CHECK WITH MULTIPLICATION
  • Read the question.
  • Tap your answer.
Which multiplication checks 6.3 ÷ 0.7 = 9?
Which multiplication checks 4.8 ÷ 4 = 1.2?
SentenceTrue or false?
6.3 ÷ 0.7 = 9?
4.8 ÷ 4 = 12?
2.4 ÷ 0.3 = 8?
0.84 ÷ 2 = 0.42?
WHY THIS EXERCISE4.8 ÷ 4 is 1.2, because 1.2 × 4 = 4.8.
Try it
Find a measuring cup marked 250 milliliters. That is 0.25 liter.
Fill a 1 liter bottle with water, using the cup.
Count how many cups it takes.
Does your count match 1 ÷ 0.25?
Draw Bruce pouring his jug into cups of 0.7 liter each.

What a puzzle! Tomorrow Freddy has a decimal game.

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