Curriculum / Math / 5th Grade / Unit 1: Place Value with Decimals / Lesson 8
Math
Unit 1
5th Grade
Lesson 8 of 13
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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.
The core standards covered in this lesson
5.NBT.A.1 — Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
5.NBT.A.2 — Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
The foundational standards covered in this lesson
4.NBT.A.1 — Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
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Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
a. Solve.
b. What do you notice about Part (a)? What do you wonder?
c. Solve.
d. What do you notice about Part (c)? What do you wonder?
e. Use your conclusions from Parts (b) and (d) to find the solutions below.
The value of the 8 in 83.16 is how many times the value of the 8 in 7.8?
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
The value of the digit 7 in the number 17.48 is 10 times the value of the digit 7 in which number?
Sonya is trying to solve for the missing value in the equation 93.6 × _____ = 93,600. Sonya claims that the answer is 100 because there are two zeros at the end of 93,600 and multiplying by ten results in an extra 0 at the end of the number, so multiplying by 100 would results in two zeros at the end of the number.
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Lesson 7
Lesson 9
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 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
Use place value understanding to round decimals to any place.
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