Curriculum / Math / 5th Grade / Unit 1: Place Value with Decimals / Lesson 10
Math
Unit 1
5th Grade
Lesson 10 of 13
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Read and write decimals to thousandths using base-ten numerals, number names, and expanded form.
The core standards covered in this lesson
5.NBT.A.3.A — Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
The foundational standards covered in this lesson
4.NBT.A.2 — Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
Comma placement in a number signals how to read that number. As Van de Walle says, “to read a number, first mark it off in triples from the right. The triples are then read, stopping at the end of each to name the unit (or cube shape) for that triple. Leading zeros in each triple are ignored when the number is read. If students can learn to read numbers like 059 (fifty-nine) or 009 (nine), they should be able to read any number” (Van de Walle, Student-Centered Mathematics, 3–5, p. 166). Note, of course, that this only applies to the whole number portion of a decimal number.
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Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
a. Ms. Britton bought a bottle of water at Stop and Shop. She didn’t have any cash so she wrote a check to pay for it. How should she write the cost in the red box?
b. Use similar reasoning to write the following values in standard and expanded form.
Write each of the following in expanded and word form.
a. 25.403
b. 1,028.04
c. 9.795
Write each of the following in standard and word form.
a. $${\left(4 \times 100\right) + \left(5 \times {1\over100}\right) + \left(9 \times {1\over1,000}\right)}$$
b. $${ 1 \times 10 + 3 \times 1 + 4 \times 0.1 + 7 \times 0.01}$$
c. $${\left(2 \times {1\over10}\right) + \left(0\times {1\over100}\right) + \left(8 \times {1\over1,000}\right)}$$
Problem Set
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Lesson 9
Lesson 11
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
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
Use place value understanding to round decimals to any place.
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