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Week 05 · Decimals, Factors and Multiples

Friday

Decimals all around
// Long division, decimal points, and what two numbers share
⏱ about 20 min

Friday: Decimals All Around

Rocket holds a stopwatch over the practice course. "Raven, your lap was 12.35 seconds. Mine was 12.4."

"Who was faster?" Raven asks. "What do you notice when you line up the points?"

"12.35 and 12.40," Rocket says. "35 hundredths is less than 40 hundredths. You were faster by 0.05 seconds."

Nova hovers between them. "Decimals are everywhere today," she says. "The tape, the stopwatch, the height chart."

"And the kits," Raven adds. "Twelve of them, packed by the greatest common factor."

Rocket points at the garage thermometer. The red line sits just under the 0. "What number is that?"

Nova hums. "That is next week. Below zero."

Decimals in everyday life

Times: a lap of 12.35 seconds against 12.4 seconds. Line up the points: 12.40 - 12.35 = 0.05 seconds apart.

Heights: a height chart reads 1.52 meters. That is 152 centimeters, the point moved two places.

Lengths: 2.5 meters of ribbon for each of 6 badges takes 2.5 × 6 = 15 meters.

Sharing: 7.5 meters of string in 0.5 meter pieces makes 7.5 ÷ 0.5 = 15 pieces.

Factors and multiples in everyday life

Packing: equal kits, equal teams, equal rows of chairs all use the greatest common factor.

Repeating: two blinking lights, two timers, or two runners lapping at different speeds line up at the least common multiple.

Breaking a sum apart: 36 + 8 = 4 × (9 + 2) is the distributive property doing a job.

EVERYDAY DECIMALS
  • Read the question.
  • Tap your answer.
One lap is 12.35 seconds, another 12.4 seconds. How many seconds apart are they?
Each badge takes 2.5 meters of ribbon. How many meters for 6 badges?
7.5 meters of string is snipped into 0.5 meter pieces. How many pieces?
A height chart reads 1.52 meters, then 0.08 meters more a year later. What is the new height?
FACTORS AND MULTIPLES
  • Read the question.
  • Tap your answer.
30 chairs and 45 cones go into equal rows with nothing left. How many rows at most?
One light blinks every 5 seconds, another every 12. After how many seconds do they blink together?
What is the greatest common factor of 64 and 40?
What is the least common multiple of 8 and 12?
MULTIPLY 2.5 × 1.2, STEP BY STEP
  • ?Count the decimal places: 1 + 1 = 2
  • ?Place the point two places from the right: 3.00
  • ?Multiply as whole numbers: 25 × 12 = 300
  • ?Write it simply: 3
WHY THIS EXERCISEThe order matters: the point goes in last, after the counting.
Week reviewTrue or false?
1,500 ÷ 12 = 125?
12.75 + 8.4 = 21.15?
0.6 × 0.4 = 0.24?
The greatest common factor of 36 and 48 is 6.?
The least common multiple of 6 and 8 is 24.?
WHY THIS EXERCISE6 divides 36 and 48, but 12 does too, and 12 is greater. The GCF is the greatest.
Try it
Find three decimals around your home: a label, a ruler, a scale. Write each one and what it measures.
Pick two of them and add them with the points lined up.
Draw a stopwatch showing 12.35 and another showing 12.4. Mark which is faster.

A full week of decimals and factors. Tomorrow is Data Day: measure a room with your family.

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