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Chapter 3: Adding and Subtracting Decimals · 3.8 Adding Decimals & 3.9 Subtracting Decimals Use place value to add and subtract decimals. Make sure to line the decimals up first

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Text of Chapter 3: Adding and Subtracting Decimals · 3.8 Adding Decimals & 3.9 Subtracting Decimals Use...

  • Chapter 3: Adding and

    Subtracting DecimalsMAFS.5.NBT.1.1,MAFS.5.NBT.1.3 ,

    MAFS.5.NBT.1.4 , MAFS.5.NBT.2.7

  • Ch 3 Vocabulary Words

    1. Benchmark - A familiar number used as a point of reference Example:

    2. Place value - The value of each digit in a number based on the location of the digit

    3. Tenth- One of ten equal parts Example: 0.7 = seven tenths or 7/10

    4. Hundredth- One of 100 equal parts Examples: 0.56, ___ 56/100 , fifty-six hundredths

    5. Round- To replace a number with one that is simpler and is approximately the same size as the original number Example: 114.6

    rounded to the nearest ten is 110 and to the nearest one is 115.

    6. Sequence- an ordered list of numbers

    7. Term- a number in a sequence

    8. Thousandth- One of one thousand equal parts Example: 0.006 = six thousandths or 6/1,000

  • 3.1 Thousandths

    Thousandths are smaller parts than hundredths. If one hundredth is divided into

    ten equal parts, each part is one thousandth.

  • 3.1 Continued

    1. 0.6 is 10 times as much as __

    1. 0.008 is 1/10 of __

    https://www.youtube.com/watch?v=UEi3crjbCaE

    Decimal Ten times as much as 1/10 of

    0.03 0.3 0.003

    0.7

    0.01

    https://www.youtube.com/watch?v=UEi3crjbCaE

  • 3.2 Place Value of Decimals

    You can use a place-value chart to understand decimals. Whole numbers are to

    the left of the decimal point. Decimals are to the right.

    Standard Form: 1.726

    Word Form: one and seven hundred twenty-six thousandths

    Expanded Form: (1x1) + (7 x 1/10) + (2 x 1/100) + (6 x 1/1000)

    Tens Ones Decimal

    Point

    Tenths Hundredths Thousandths

    Standard 1 7 2 6

    Expanded 1x1 7 x 1/10 2x1/100 6x1/1000

    Decimals 1.0 0.7 0.02 0.006

  • 3.2 Continued

    Decimal Value of underlined digit

    Word Form Expanded Form

    0.287 0.2 or two tenths two hundred eighty-seven

    thousandths

    (2 x 1/10) + (8 x 1/100) +

    (7 x 1/1000)

    6.359

    2.704

  • Engage NY Module 1 Lesson 5

  • 3.3 Compare and Order Decimals

    How can you use place value to compare and order decimals?

  • 3.3 On Your Own

    Compare. Write , or =.

    1. 8.673 8.637 2. 1.036 1.306

    Name the greatest place-value position where the digits differ. Name the greater number.

    3. 3.579; 3.564 4. 9.572; 9.637

    Order from least to greatest.

    5. 2.007; 2.714; 2.09; 2.97 6. 1.703; 1.037; 1.37; 1.073

    Round to the underlined digit.

    7. 0.428 8. 3.19

  • 3.5 Decimal Addition & 3.6 Decimal Subtraction (using models) Videos: https://www.youtube.com/watch?v=Mxo9EVFVGMU &

    https://www.youtube.com/watch?v=0sjLdohzEVo

    Addition with models

    1) 1.37 + 1.85 =

    Subtraction with Models

    2) 2.82 - 1.47 =

    https://www.youtube.com/watch?v=Mxo9EVFVGMUhttps://www.youtube.com/watch?v=0sjLdohzEVo

  • Drawing Models

    1. 0.9 - 0.2 =

    2. 0.5 +0.12 =

  • 3.8 Adding Decimals & 3.9 Subtracting Decimals

    Use place value to add and subtract decimals. Make sure to line the decimals up

    first and then solve your problem.

    Estimate. Then find the sum or difference.

    1. 5.83 Estimate: ____ 2. 12.3 Estimate: ____

    - 2.18 + 4.9

    3. Find the sum. seven and twenty-five hundredths added to nine and four tenths

    4. Find the difference. three and seventy-two hundredths subtracted from five

    and eighty-one hundredths

    5. n - 6.47 = 4.32

  • 3.11 Adding and Subtracting Money

    How can the strategy make a table help

    you organize and keep track of your bank

    account balance?

    1. Sara wants to buy a bottle of apple juice from a vending machine. She needs exactly $2.30. She

    has the following bills and coins:

    Make and complete a table to find all the ways Sara

    could pay for the juice. First, draw a table with a

    column for each type of bill or coin. Next, fill in your

    table with each row showing a different way Sara can

    make exactly $2.30.

    $1 Qtrs Dimes Nickel

    s

    Value

  • 3.11 Cont’d

    2. Mr. and Mrs. Daniels are going to Tokyo next summer. Each week they record

    the value of one Yen in U.S. dollars, The table shows the data she has recorded

    so far.

    For which two weeks was the value of 1 Yen the same when rounded to the

    nearest hundredth?

    Week Value of 1 Yen (in

    U.S.

    1 0.096

    2 0.091

    3 0.099

    4 0.089

  • 3.12 Continued

    2. 4.19 + 0.58

    3. 38.44 − 25.86

    4. 5.7 + 2.25 + 1.3

  • Metric Conversions - K.H.D. (B) D.C.M.

    Kilo- x 1000

    Hecto- x 100

    Deca- x 10

    Base (meter, liter, gram) x 1

    Deci- x 1/10

    Centi- x 1/100

    Milli- x 1/1000

    Flocabulary Song https://www.flocabulary.com/unit/metric-system/video/

    https://www.flocabulary.com/unit/metric-system/video/

  • Metric conversions - Your Turn