NYS Math Module 1 Lesson 11. I can… take out the unit 5.NBT.1 add, subtract, and multiply decimals 5.NBT.7.
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Lesson 11
I can…
take out the unit 5.NBT.1
add, subtract, and multiply decimals 5.NBT.7
Objective: Multiply a decimal fraction by singledigit whole numbers, relate to a written method through application of the area model and place value understanding, and explain the reasoning used.
Say this number:
1.234 = ____ thousandths
1234
Think about how many thousandths are in 1.234.
How much is one thousand, thousandths?
1.000 = 1
One thousand thousandths = 1 whole
Say this number:
65.247 = _________________
65 ones 247 thousandths
On your board, fill in the blank.
76.358 = 7 tens ____ thousandths
6 358
6358
Let’s try another one.
76.358 = 763 tenths ____ thousandths
58
58
What do you notice? Discuss with your partner.
Write the addition sentences in decimal form.
7258 thousandths + 1 thousandth = _______
7.258 + 0.001= 7.259
7 ones 258 thousandths + 3 hundredths = _______
7.258 + 0.03= 7.288
7 ones 258 thousandths + 4 tenths = _______
7.258 + 0.4= 7.658
2 ones 37 thousandths + 5 tenths = _______
2.037 + 0.5 =2.537
Tell your partner how you are solving these problems.
You add the number to the corresponding place value.
2.037 + 0.5 =2.537
Both the “0” and “5” are in the tenths place, so you add 0 +5 = 5. All the other place values did not change.
6 ones 35 hundredths + 7 thousandths = _______
6.35 + 0.007 = 6.357
Write the subtraction sentence in decimal form.
4 ones 8 hundredths – 2 ones = _______
4.08  2 = 2.08
9 tenths 7 thousandths – 4 thousandths = _______
0.907  0.004 = 0.903
4 ones 582 thousandths – 3 hundredths = _______
4.582 – 0.3 = 4.552
9 ones 708 thousandths – 4 tenths = _______
9.708 – 0.4 = 9.308
4 ones 73 thousandths – 4 hundredths = _______
4.073 – 0.4 = 3.673
After school, Marcus ran 3.2km and Cindy ran 1.95km. Who ran farther? How much farther?
2 11 10
3.20
1.95

1.25
Show 2 tenths on your place value chart.
How many tenths to you have in all?
6 tenths
Make 3 copies of 2 tenths.
Write a number sentence to express how we made 6 tenths.
0.2 + 0.2 + 0.2 = 0.6
6 tenths
3 copies of 2 tenths is ____________
3 x 0.2 = 0.6
Read the equation in unit form.
Find the value of 3 x 0.3 and 4 x 0.3.
12 tenths
9 tenths
How was 4 x 3 tenths different from 3 x 3 tenths?
12 tenths makes a number greater than 1 whole
4 copies of 3 tenths is _______________.
12 tenths
12 tenths is the same as _______________.
1 and 2 tenths
How can we use our knowledge from the previous problems to solve this?
2 x 0.43 = _______
0.86
We make copies of hundredths like we make copies of tenths. Hundredths is a different unit, but we can multiply it just like tenths.
Use your place value chart to find the product. Complete the sentence, “2 copies of 43 hundredths is __________.”
0.86
Read what your place value chart shows.
Two groups of 3 hundredths= 0.06
Two groups of 4 tenths = 0.8
Solve this problem using your disks. solve this?
4 x 0.423 = _______
1.692
0.423
X 4
1.692
1 6 9 2
Read the product that is shown on your place value chart.
How was this problem different?
We had to bundle 10 thousandths to make 1 hundredth.
Did any other units have to be regrouped?
Yes, the tenths. We had to regroup 10 tenths to make 1 whole.
Show how you found the product using an area model and equation.
Solve this problem using an area model. solve this?
6 x 1.21 = _______
7.26
Draw an area model.
3; ones, tenths, and hundredths
How many sections do we have?
1.21
X 6
7.26
6
6
12 tenths
6 hundredths
6 + 1.2 + 0.06 = 7.26
6
I am multiplying each number by what?
With a partner, solve the equation using an area model and an equation.
Solve this problem using an area model and an equation. solve this?
16.87
7 x 2.41 = _______
7
14
28 tenths
7 hundredths
14 + 2.8 + 0.07 = 16.87
2.41
X 7
16.87
Last one.. solve this?
18.72
8 x 2.34 = _______
8
16
24 tenths
32 hundredths
16 + 2.4 + 0.32 = 18.72
2.34
X 8
18.72
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Worksheets in this file are from NYS Math Module 1 Grade 5. I have simply minimized the pages to reduce the use of paper. For the entire module visit:
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