Math

1
Math

• Place Value and Rounding
• Whole Numbers and Decimals

2
Vocabulary
Exponent Base Standard form Expanded form Word
form Period Data Decimal Decimal
number Tenths Hundredths Thousandths
3
Exponents

• Numbers that tell you how many times the base is
  used as a factor.
• Ex. 10² means 10 10 100
• (read as 10 to the second power)
• 10³ means 10 10 10 1,000
• (read as 10 to the third power)

4

• Who can tell me what 10 to the 3rd power equals?
• How many zeros in your answer?
• Who can tell me what 10 to the 6th power equals?
• How many zeros in your answer?
• What is 10 to the 9th power?
• How many zeros?
• How many zeros in 10 to the 12th power?
• Finding Power Pairs activity groups

5
Place Value Chart
6
Place Value Terms

• Standard Form A way of writing numbers that
  uses the digits 0-9, with each digit having a
  place value.
• 122,377
• Short Word Form A way of writing numbers that
  mixes numbers and words.
• 122 thousand,
  377

7

• Word Form A way of writing numbers using only
  words
• One hundred twenty-two thousand, three hundred
  seventy-seven 122,377
• Expanded Form A way of writing numbers that
  shows the value of each digit.
• 100,000 20,000 2,000 300 70 7 122,377
• (1100,000) (210,000) (21,000) (3100)
  (710) 7 122,377

8

• Numbers can be represented in many ways, but
  standard form is usually the easiest and shortest
  way. Here are some numbers expressed in different
  forms, with their standard form shown alongside.
  Which form do you think is the best?
• Example 1
• one billion, sixty million, five hundred twenty
  thousand
• 1,060,520,000
• Example 2
• four hundred sixteen thousand, seven hundred
  thirty-one
• 416,731
• Example 3
• 6,000,000 70,000 20 1
• 6,070,021

9
Periods

• A number in standard form is separated into
  groups of three digits using commas. Each of
  these groups is called a period.
• Try these
• http//www.bbc.co.uk/schools/revisewise/maths/numb
  er/01_act.shtml
• http//pbskids.org/cyberchase/forreal/108_for_real
  _hi.html
• http//www.linkslearning.org/Kids/1_Math/2_Illustr
  ated_Lessons/3_Place_Value/
• http//www.mathcats.com/explore/reallybignumbers.h
  tml

10
Reading Decimal Values

• Decimal numbers, such as O.6495, have four digits
  after the decimal point.  Each digit is a
  different place value.  
• The first digit after the decimal point is called
  the tenths place value. There are six tenths in
  the number O.6495.
• The second digit tells you how many hundredths
  there are in the number.  The number O.6495 has
  four hundredths. 
• The third digit is the thousandths place. 
• The fourth digit is the ten thousandths place
  which is five in this example. 
• Therefore, there are six tenths, four hundredths,
  nine thousandths, and five ten thousandths in the
  number 0.6495

11
Comparing Decimals

• Decimals are compared through the following
  stepsStep 1 Find the greatest place values of
  the decimals.Example Compare 0.21 and
  0.068.The greatest place value of 0.21 is 2 at
  the tenths place. The greatest place value of
  0.068 is 6 at the hundredths place. Tenths place
  has a value ten times larger than that of
  hundredths place, so 0.21 is greater than
  0.068.Answer 0.21 gt 0.068

12

• Step 2 If the greatest place values of the
  decimals are the same, find the next place values
  until a difference is observed.Example Compare
  0.354 and 0.359The greatest place value of
  0.354 is 3 at the tenths place. The greatest
  place value of 0.359 is also 3 at the tenths
  place. In addition, the hundredths places of both
  0.354 and 0.359 are 5. However, the thousandths
  place of 0.354 is 4 and that of 0.359 is 9. Thus,
  0.354 is less than 0.359.Answer 0.354 lt 0.359