Curriculum / Math / 5th Grade / Unit 1: Place Value with Decimals / Lesson 13
Math
Unit 1
5th Grade
Lesson 13 of 13
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Use place value understanding to round decimals to any place.
The core standards covered in this lesson
5.NBT.A.4 — Use place value understanding to round decimals to any place.
The foundational standards covered in this lesson
3.NBT.A.1 — Use place value understanding to round whole numbers to the nearest 10 or 100.
4.NBT.A.3 — Use place value understanding to round multi-digit whole numbers to any place.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
You’ll want to avoid using terms like “round up” and “round down,” since these terms can be confusing for students. “Rounding up” a number results in a change in the value of the place to which you’re rounding, where “rounding down” does not. Often students will change the value mistakenly as a result.
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Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
a. The number 8.263 lies between 8 and 9 on the number line. Label all the other tick marks between 8 and 9 and then determine if 8.263 is closer to 8 or 9 on the number line.
b. Which tenth is 8.263 nearest to on the number line? Determine what values the two outermost spots on the number line below should be to help you determine which tenth 8.263 is closest to. Then plot 8.263 to prove your answer.
c. Which hundredth is 8.263 nearest to on the number line? Determine what values the two outermost spots on the number line below should be to help you determine which hundredth 8.263 is closest to. Then plot 8.263 to prove your answer.
Rounding on the Number Line, accessed on Aug. 22, 2017, 3:01 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Round each of the following values to the places mentioned. Record your answer with the “$$\approx$$" symbol.
a. 49.67 to the nearest whole and tenth
b. 9.935 to the nearest tenth and hundredth
c. 4.3816 to the nearest whole, tenth, hundredth, and thousandth
a. What do you notice about this image? What do you wonder?
b. The amount of sugar in a serving of this gum is a decimal number with two digits to the right of the decimal point. What is the greatest possible amount of sugar a serving of this gum can have?
c. Use your reasoning from Part (b) above to determine the greatest and the least value (to the thousandths place) that could round to 0.27.
Problem Set
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A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
Which of the following values would not round to 7.4 when rounded to the nearest tenth?
Which two statements about rounding decimals are correct?
The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.
Extra Practice Problems
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Lesson 12
Topic A: Place Value with Whole Numbers
Build whole numbers to 1 million by multiplying by 10 repeatedly.
5.NBT.A.1 5.NBT.A.2
Use whole numbers to denote powers of 10. Explain patterns in the number of zeros when multiplying any powers of 10 by any other powers of 10.
5.NBT.A.2
Explain patterns in the number of zeros of the product when multiplying a whole number by 10. Recognize that in a multi-digit whole number, a digit in any place represents 10 times as much as it represents in the place to its right.
Explain patterns in the number of zeros of the product when multiplying a whole number by powers of 10.
Explain patterns in the number of zeros of the quotient when dividing a whole number by 10. Recognize that in a multi-digit whole number, a digit in any place represents $${\frac{1}{10}}$$ as much as it represents in the place to its left.
Explain patterns in the number of zeros of the quotient when dividing a whole number by powers of 10.
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Topic B: Place Value with Decimals
Build decimal numbers to thousandths by dividing by 10 repeatedly.
Explain patterns in the placement of the decimal point when a decimal is multiplied by any power of 10. Recognize that in a multi-digit decimal, a digit in any place represents 10 times as much as it represents in the place to its right.
Explain patterns in the placement of the decimal point when a decimal is divided by a power of 10. Recognize that in a multi-digit decimal, a digit in any place represents $${\frac{1}{10}}$$ as much as it represents in the place to its left.
Topic C: Reading, Writing, Comparing, and Rounding Decimals
Read and write decimals to thousandths using base-ten numerals, number names, and expanded form.
5.NBT.A.3.A
Compare multi-digit decimals to the thousandths based on meanings of the digits using $${>}$$, $${<}$$, or $$=$$ to record the comparison.
5.NBT.A.3.B
Use place value understanding to round decimals to the nearest whole.
5.NBT.A.4
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