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Grade 4 Math: Identify Students with Height Greater Than 1 1/2 Meters
Mathematics
Grade 4
Question Content
Some of the students in Amanda's class measured and recorded their heights in meters. The chart shows the students and their heights:\n| Student | Height (meters) |\n|---------|-----------------|\n| Amanda | 1.39 |\n| Dillon | 1.6 |\n| Kyle | 1.07 |\n| Nazli | 1.55 |\n| Rico | 1.7 |\n| Wyatt | 1.09 |\nWhich students' height measurements correctly complete the number sentence below? \n> 1\\frac{1}{2} meters
Correct Answer
Dillon, Nazli, Rico
Detailed Solution Steps
1
Step 1: Convert the mixed number 1\\frac{1}{2} to a decimal. 1\\frac{1}{2} = 1 + 0.5 = 1.5 meters.
2
Step 2: Compare each student's height to 1.5 meters:\n- Amanda: 1.39 < 1.5, does not qualify\n- Dillon: 1.6 > 1.5, qualifies\n- Kyle: 1.07 < 1.5, does not qualify\n- Nazli: 1.55 > 1.5, qualifies\n- Rico: 1.7 > 1.5, qualifies\n- Wyatt: 1.09 < 1.5, does not qualify
3
Step 3: Identify all students with heights greater than 1.5 meters: Dillon, Nazli, Rico.
Knowledge Points Involved
1
Mixed Number to Decimal Conversion
A mixed number combines a whole number and a fraction. To convert it to a decimal, convert the fractional part to a decimal by dividing the numerator by the denominator, then add it to the whole number. This is used to standardize values for comparison, like in this problem where we compare decimal heights to a mixed number threshold.
2
Decimal Comparison
To compare positive decimals, start by comparing the whole number parts. If they are equal, compare the tenths place, then hundredths, and so on. This skill is used to sort or select values that meet a size condition, such as finding heights greater than a specific value.
3
Fraction and Decimal Real-World Application
Fractions and decimals are both used to represent non-whole quantities in real life (like measurements). Converting between them allows for consistent analysis and comparison of real-world data, such as student heights in this problem.
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