5
5.5 Study Guide
Decimal Operations
Learning Goals
5.5 a) find the sum, difference, product, and quotient of two numbers expressed as decimals through thousandths (divisors with only one nonzero digit); and
b) create and solve single-step and multistep practical problems involving decimals.
Vocabulary
*See vocabulary on the 5.4 Study Guide
Practice at Home
• Continue to practice basic addition and subtraction facts (flashcards). Many mistakes are often made when incorrectly adding or subtracting two digits. A great FREE resource is to download the interactive game Timez Attack from . This program individualizes for each child based on the facts that he/she already knows!
• Addition and subtraction of decimals is like adding and subtracting whole numbers. The only thing we must remember is to line up the place values correctly. The easiest way to do that is to line up the decimal points.
• When multiplying numbers with decimals, we first multiply them as if they were whole numbers. Then, the placement of the decimal in the result is equal to the sum of the number of decimal places of the numbers being multiplied.
*We use the partial product method to multiply.
See the study guide on Partial Product Multiplication
• Dividing decimal numbers is like dividing whole numbers. We just need to remember to bring the decimal up to the quotient. We can also “count over” the number of decimal places.
• When estimating decimal numbers, round to largest place of the smallest number.
23.67 ( 24.00 49.72 ( 50.00
2.43 ( 2.00 52.41 ( 50.00
+ 11.86 ( + 12.00 + 10.82 ( +10.00
38.00 110.00
Sample Questions
1. Claire’s sells bracelets for $4.99 each. Michelle bought 4 yellow bracelets and 5 pink bracelets. How much did Michelle spend at Claire’s?
A $19.96
B $24.95
C $44.91
D $49.90
2. What is 56.834 – 3.497
A 53.337
B 53.463
C 60.331
D 91.804
3. 56.89 X 45.2 =
A 2,571,428
B 25,714.28
C 2,571.428
D 257.1428
4. Andrew and his two brothers want to put their money together to buy a new gaming system. If the gaming system costs $168.69, how much money will each boy need to contribute so they put in equal amounts?
A $56.23
B $84.34
C $171.69
D $506.07
5. 98.34 + 61.7
A 36.64
B 92.17
C 104.51
D 160.04
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Add a 0 here so that you can regroup
-2 00
35
- 35
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