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TOPIC D: Division of Decimal Numbers
TOPIC D: Division of Decimal Numbers
Dear Family,
Your student is learning to divide decimal numbers by using methods that are familiar from whole-number division. Students divide decimal numbers by one-digit whole numbers; by multiples of 10, 100, or 1,000; by two-digit whole numbers; and by other decimal numbers. By renaming decimal numbers as fractions, students connect division with decimal numbers to division with fractions. Your student sees division expressions as equal groups (e.g., 3 groups of 4 tenths make 12 tenths) and parts of a whole (e.g., 5 tenths is 1/100 of 50). Students use their experience dividing whole numbers to select the most efficient strategy and determine the reasonableness of their answers, with a focus on the placement of the decimal point in the quotient.
NEW KEY TERMS
inequality
An inequality is a statement that compares two expressions by using > or <. (Lesson 29)
thousandths
Thousandths are a place value unit. 1 one can be decomposed into 1,000 thousandths. (Lesson 1)
FAMILAR TERMS
associative property of multiplication
bundle
exchange
rename
commutative property of multiplication
compare
distributive property
expanded form
exponent
hundredths
long division
power of 10
round tenths
Find a sample of our lessons below to help support MATH TALK at home.
Students also have these in their APPLY workbook.
Lesson 20
Divide decimal numbers to hundredths by one-digit whole numbers and multiples of 10, 100, or 1,000 by using unit form and place value understanding.
I can use unit form or draw on a place value chart to divide a decimal number by a one-digit whole number. When I have more units left to distribute, I can rename 1 of a unit into 10 of the next smaller unit.
EM2_G5_M4_TD_L20_PracticePartner.pdfEM2_G5_M4_TD_L20_PracticeSolutions.pdfLesson 21
Divide decimal numbers to hundredths by one-digit whole numbers and multiples of 10, 100, or 1,000 by using place value understanding and vertical form.
Long division can help me organize my thinking when I divide. I can record my thinking by using vertical form. Estimation helps me think about the unit for the quotient.
EM2_G5_M4_TD_L21_PracticePartner.pdfEM2_G5_M4_TD_L21_PracticeSolutions.pdfLesson 22
Divide decimal numbers to hundredths by two-digit whole numbers.
Drawing an area model to divide decimal numbers by two-digit whole numbers is more efficient than drawing on a place value chart. Using unit form or using long division is also a helpful method to divide decimal numbers by two-digit whole numbers.
EM2_G5_M4_TD_L22_PracticePartner.pdfEM2_G5_M4_TD_L22_PracticeSolutions.pdfLesson 23
Relate division by 0.1 and 0.01 to division by a unit fraction.
When I divide a number by 0.1, I can think about dividing by the unit fraction
1/10 or finding the number of groups of that 1/10 make the number.
EM2_G5_M4_TD_L23_PracticePartner.pdfEM2_G5_M4_TD_L23_PracticeSolutions.pdfLesson 24
Divide decimal numbers by decimal numbers, resulting in whole-number quotients.
To divide a decimal number by a decimal number, I can rename the dividend and divisor in unit form with the same units and then divide. I can also rewrite the expression so that I can divide by 0.1 or 0.01 and then use a whole-number division method to find the quotient.
EM2_G5_M4_TD_L24_PracticePartner.pdfEM2_G5_M4_TD_L24_PracticeSolutions.pdfLesson 25
Divide decimal numbers by decimal numbers, resulting in decimal-number quotients.
When the divisor is a decimal number, I can use unit form or rewrite the divisor to get a whole-number divisor. Then I can use long division to find the quotient.
EM2_G5_M4_TD_L25_PracticePartner.pdfEM2_G5_M4_TD_L25_PracticeSolutions.pdfReport abuse