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Organic, whole-wheat flour sells in bags weighing 2.915 kilograms. How much flour is this rounded to the nearest tenth? How much flour is this rounded to the nearest one? What is the difference of the two answers? Use a place value chart and number line to explain your thinking.

Ask by Warren Hall. in the United States
Feb 24,2025

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Answer

Rounded to the nearest tenth, the flour weighs 2.9 kilograms. Rounded to the nearest whole kilogram, it weighs 3 kilograms. The difference between these two rounded amounts is 0.1 kilogram.

Solution

We start with the weight: 2.915 kilograms. Step 1. Rounding to the Nearest Tenth: • In a place value chart, 2.915 is broken down as follows:   • Ones:  2   • Tenths:  9   • Hundredths: 1   • Thousandths: 5 • To round to the nearest tenth, we look at the hundredths digit (1). Because 1 is less than 5, the tenths digit stays the same.   Therefore, 2.915 rounded to the nearest tenth is 2.9. Step 2. Rounding to the Nearest One: • To round to the nearest one, we look at the tenths digit (9). Since 9 is 5 or greater, we round up the ones digit.   Thus, 2 rounded up becomes 3.   So, 2.915 rounded to the nearest one is 3. Step 3. Finding the Difference: • The difference between the two rounded amounts is:   3.0 (rounded to the nearest one) − 2.9 (rounded to the nearest tenth) = 0.1 Number Line Explanation:  Imagine a number line with key points marked. For rounding to the nearest one:   • The midpoint between 2 and 3 is 2.5.   • Since 2.915 is greater than 2.5, it is closer to 3.   For rounding to the nearest tenth:   • We mark points at 2.8, 2.9, and 3.0.   • The cutoff between 2.9 and 3.0 is determined by the hundredths place. Since the hundredths digit in 2.915 is 1 (less than 5), it stays at 2.9.   So on the number line, 2.915 lies in a spot that rounds to 2.9 when considering the tenths, but to 3 when considering the whole number. Final Answers: • Rounded to the nearest tenth: 2.9 kilograms • Rounded to the nearest one: 3 kilograms • Difference: 0.1 kilogram

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When rounding 2.915 kilograms of flour to the nearest tenth, you look at the digit in the hundredths place (1). Since it's less than 5, you keep the tenths place (9) the same, resulting in 2.9 kilograms. For rounding to the nearest whole number, you check the tenths place (9), which is 5 or higher, so you round up from 2 to 3 kilograms. The difference between these two rounded answers is 3 kg - 2.9 kg = 0.1 kg. To visualize this, you can think of a number line where 2.9 is just before 3. Since the difference is minimal, the number line represents how close the two values are, solidifying the understanding that they are just a smidge apart!

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