Welcome to "Fuel Tenths Lab", a 4th Grade Decimals mission at the Challenger (stretch) level, staged in our space exploration scenario. The mission opens with a hands-on prompt: "Shade 79 cells on the 10×10 hundredths grid to model 79/100 = 0.79." You'll work with the numbers 79, 10, 100 and arrive at a final answer of 100 across 3 guided steps.
Behind the space exploration story, this lesson is really about decimals aligned to CCSS 4.NF.C.6. Use decimal notation for fractions with denominators 10 or 100. The key strategy this mission asks you to internalise: Decimal = 0.79.
A general pattern to watch for in 4th Grade decimals — illustrated with example numbers below, which may differ from this lesson's: Treating 0.5 and 0.05 as the same value (ignoring the place). 0.5 = 5/10. 0.05 = 5/100. The position of the 5 changes its value tenfold. If you get stuck on "Fuel Tenths Lab", the adaptive Socratic hints below escalate from a gentle nudge to a worked-out strategy — the same way a one-on-one tutor would coach you through it.
Grade 4 · Decimals
Mission Progress
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Thinking Summary · 1
Mastered[object Object]
[Discovery] Shade 79 cells on the 10×10 hundredths grid to model 79/100 = 0.79.
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Active StepShade 79 of 100 cells.
Everything you need to know about the Socratic experience.
Shade 79 cells on the 10×10 hundredths grid to model 79/100 = 0.79. Hint: Each cell is 1/100. You need 79 shaded.
Which is bigger: 79/100 or 1/2? If you get stuck, the adaptive hint is: Convert both to the same denominator and compare numerators.
Challenger missions push beyond CCSS expectations with edge cases that surface deeper misconceptions. Within 4th Grade Decimals, expect numbers in the corresponding range.
Writing 3/10 as 0.3 but 3/100 as 0.3 (ignoring the place jump). 3/100 needs two decimal places: 0.03. The decimal places match the zeros in the denominator.
Comparefractions (A decimal IS a fraction with a special denominator.). Open /grade-4/comparefractions to start that topic's missions.
Socratic teaching answers a question with a better question. Instead of "the answer is 12", the system asks "if you had 3 groups of 4, how could you skip-count?" The goal is to externalize the learner's reasoning so they hear themselves think. Every Inquiry AI hint follows this pattern: nudge → reframe → analogy → only then a worked example, in that order.
Research on "productive struggle" shows that 20–60 seconds of focused effort BEFORE help dramatically improves long-term retention — the brain encodes the strategy more deeply. Inquiry AI's hint timing is calibrated to this window: short enough to prevent frustration, long enough to lock in the learning. Parents can adjust the threshold in settings if a learner needs faster scaffolding.
