Review Chapter 3 Decimals

Review Chapter 3 Decimals

This will give you tips on what to add to your 4x6 cards that may help when taking the test.

Place Value with decimals

The chart would be a good item to add to your card.

Place value helps when:

1. Determining how to name decimal values.

2. Round decimal values

3. Write in expanded form

Three forms of expressing decimal values:

• Standard form: 46.879 (good for notes)

• Written form: forty-six AND eight hundred seventy-nine thousandths (remember the last digit is the place named in the decimal value)

• Expanded form: 40 + 6 +

   $\frac{8}{10\ }\ +\ \frac{7}{100}+\ \frac{9}{1000}$  (expanded behind the decimal is in fraction form according to the place value)

• Good for note card!!!!!

Multiple Choice

Write the number in expanded form:
six hundred fifty-four and eighty-six hundredths

• (6 x 100) + (5 x 10) + (4 x 1) + (8 x 0.1) +
  (6 x 0.01)
• (5 x 100) + (6 x 10) + (8 x 1) + (4 x 0.1) + 
  (6 x 0.01)
• (6 x 10) + (5 x 1) +
  (4 x 0.1) + (8 x 0.01)
• (6 x 100) + (9 x 10) + (4 x 1) + (8 x 0.1) + 
  (6 x 0.01)

Multiple Choice

Which number represents eight and ninety-four thousandths in standard form?  

• (8 x 1) + (9 x 1/100) + (4 x 1/1000)
• 8.94
• (8 x 1) + (9 x 0.1) + (4 x 0.01)
• 6.084

Multiple Choice

What is sixty-five and fifteen hundredths written in expanded notation?

• (6 x 10) + (1 x 0.1) +
  (5 x 0.01)
• 6 + 1 + 5
• (60 x 10) + (5 x 0.1) + (1 x 0.01)
• (6 x 10) + (10 x 0.1) + (15 x 0.01)

Multiple Choice

Which number represents six and eighty-four hundredths in expanded form?  

• (6 x 1) + (8 x 0.01)
• 6.84
• (6 x 1) + (4 x 0.1) +
  (8 x 0.01)
• (6 x 1) + (8 x 0.1) +
  (4 x 0.01)

Multiple Choice

Write the number in word form: 
(5 x 100) + (3 x 10) +
(5 x 1) + (4 x 0.1) + (3 x 0.03)

• five hundred thirty-five and thirteen hundredths
• five thousand thirty-five and forthy-three hundredths
• five hundred thirty-five and forty-three hundredths
• five hundred fifty-three and thirty-four hundredths

Multiple Choice

Which digit is in the tenths place?
236.4791

• 3
• 6
• 4
• 7

Multiple Choice

In the number below, what place value is the digit 2 in?  
6.3529

• Tens
• Thousanths
• Hundredths
• Ones

Multiple Choice

What decimal does the figure represent?

• 79
• 0.89
• 0.79
• 0.21

Operations involving decimals

• Adding and subtracting decimal values make sure to line up the decimals point.

• Multiplication involves moving the decimal point in the answer the amount of decimal places totaled in the problem.

• Division the rule to remember: always divide by a whole number. If you need to move the decimal in the divisor then that is the same amount of spaces moved in the dividend.

Multiple Choice

Find the value of this expression

37.68÷2.4

• 1.57

• 14.7

• 15.7

• 1570

Multiple Choice

Find the product.

3.18 x 0.06

• 0.1908

• 1.908

• 19.08

• 190.8

Multiple Choice

Subtract. 789.03 - 77.1

• 711.02

• 711.93

• 781.32

• 18.03

Multiple Choice

What is the value of this expression?

4.136+29.95

• 330.86

• 71.31

• 33.086

• 34.086

Multiplying and dividing decimals by 10's

• When you multiply a decimal value by 10, you move the decimal point one place to the right for every zero being multiplied.

• Ex: 356.87 x 10 = 3568.7

• Dividing a decimal value by 10, you move the decimal point one place to the left for every zero being divided.

• Ex: 987.653

   $\div$  100 = 9.87653

• Good note card material!!!!!

Multiple Choice

2.7 x 10 =

• 0.27

• 2.7

• 27

• 270

Multiple Choice

345 ÷ 10 =

• 3.45

• 34.5

• 345

• 3450

Multiple Choice

350 ÷ 10 =

• 3.5

• 35

• 350

• 0.35

Multiple Choice

21 x 10 =

• 2.1

• 21

• 210

• 2100

Rounding decimals

• The same rule applies for decimals like whole number values: 5 or more raise the score by 1, 4 or less stay.

• The difference between rounding a whole number and a decimal is when the decimal is rounded the place ask is where it changes and no zeros are added. (Good card info)

• Ex: 98.907 round to hundredth

• 98.91 look at the 0 there is a 7 behind it; raise the zero by 1 NO ZEROS ADDED.

Multiple Choice

Which of the following is true?

• 1.72 rounded to the nearest tenth is 1.7
• 2.62 rounded to the nearest tenth is 2.7
• 3.41 rounded to the nearest whole number is 4
• 10.231 rounded to the nearest hundredth is 10.22

Multiple Choice

Round to the nearest tenth. 8.5435

• 8

• 9

• 8.5

• 8.54

Multiple Choice

Which of the following is 9.029 rounded to the nearest hundredth?

• 9.0
• 9.02
• 9.03
• 9.029

Multiple Choice

What is $7.86 rounded to the nearest ten cents?

• $7.80
• $7.85
• $7.90
• $8.00

Multiple Choice

Which of the following is 12 when rounded to the nearest whole number?

• 11.23
• 11.56
• 12.51
• 12.64

Multiple Choice

Which of the following is 4.52 when rounded to the nearest hundredth?

• 4.453
• 4.449
• 4.512
• 4.523

Order of operations with decimals

• PEMDAS (you know the steps)

• Good item for note card!!!

• 
  

• 
  

Multiple Choice

[(2.2×0.22)÷2]×22

• 5.3
• 5.324
• 22.2

Multiple Choice

3[2.5 + (5.3 - 3.9)]

• 11.7
• 12.7
• 11.6

Multiple Choice

2(1.5 + 2.5)

• 8
• 5.5
• 6

Fractions to decimals

• To change a fraction to a decimal value, divide the numerator by the denominator.

• Decimals when found this way can be:

• 1. Terminating or ending

• 2. Repeating (which you need to add a bar above the repeating values)

• Good note card information!

Multiple Choice

Write the decimal for the fraction:  $\frac{3}{16}$  

• .275

• .018

• .256

• .1875

Multiple Choice

0.3535 is a repeating decimal

• True 
• False

Multiple Choice

Convert 0.252525... to a fraction.

• 25/9
• 25/99
• 25/100
• 1/4

Multiple Choice

Convert 0.35 to a fraction.

• 35/99
• 7/20
• 3.5/100
• 3/5

Multiple Choice

Convert 0.444... to a fraction.

• 4/10
• 4.4/99
• 4/9
• 2/5

Multiple Choice

• Repeating Decimal
• Non-Repeating Decimal
• Terminating Decimal

Multiple Choice

Convert 4/5 to a decimal

• .45
• .80
• .40
• .54

Multiple Choice

What is 1/8 as a decimal?

• .1
• .12
• 1.25
• .125

Final Words

This lesson can earn you 15 bonus points. Many of the items point out what to study and what to put on your note card. You can take this review as many times as you want to raise your score and knowledge about decimals. The test will be this week the day you return from break.