1-1 6th grade math

1
1-16th grade math

• Whole Numbers and Decimals

2
Objective

• To use place value to understand whole numbers to
  the billions and decimals to the
  hundred-thousandths.
• Why? To help you understand the value of all
  types of numbers

3
California State Standards

• NS 1.1 (Gr. 5) Manipulate very large (e.g.,
  millions) and very small (e.g., thousandths)
  numbers.
• MR 1.0 Make decisions about how to approach
  problems.

4
Vocabulary

• Base-ten numeration
• Our number system is based on the Base-10 system.
  Numbers 1-9 are units. Add one more to 9 10
  which translates to a new house.
• There can be all types of bases Base 2 (binary,
  used in computer language), Base 5, etc.
• Standard form
• The way any numeral is written using only numbers
  0-9
• 52,615,843
• Short word form
• - Using words and numbers to express a numeral
• - 52,615,843 52 million, 615 thousand, 843.
• Place-value chart
• - Shows the order and names of the places for a
  number.
• - divided by houses billions, millions,
  thousands, one decimals. Within in house, are
  rooms thousands, ten, base.

5
Place Value Chart
billions Millions Thousands Ones . decimals
Hundred billions Ten billions Billions Hundred millions Ten millions millions Hundred thousands Ten thousands Thousands Hundreds Tens Ones Tenths Hundredths Thousandths Ten-thousandths Hundred-thousandths millionths
6, 0 3 5, 4 7 9, 5 1 8.
3 6. 0 0 2 5
6
How to Read Decimals

• To help you read decimal place values better, I
  have a little trick. Count the number of places
  in the decimal place value area. The amount of
  spaces you count tells you how many 0s to have
  in your word.

• 52. 01.
• In the decimal place area, there are two place
  holders. The number with two 0s is hundred.
  So, the number 52.01 is read 52 and 1 hundredths.
• 468. 0928.
• The decimal as four place holders. The number
  with four 0s is ten-thousand. So the number is
  read 468 and 928 ten-thousandths.

7
How to Read Numbers with Decimals

• 1) In the whole numbers section, count the
  houses and its rooms.
• 2) In the decimals section, count the number of
  spaces. The number of spaces the number of 0s
  to read the decimal number (ending with the
  suffix ths).
• 3) Put it all together. Read the whole numbers
  first, then say the word AND then read the
  decimal.
• AND the decimal.

• 6,035,479,518
• 6 billion, 35 million, 479 thousand, 518.
• 36.00025
• There are five place holders in the decimal. The
  number hundred-thousand has five 0s.
• 36 and 25 hundred-thousandths
• 5.1267
• 5 and 1 thousand 2 hundred sixty-seven
  ten-thousandths.

8
Try It!

• Express the value in short work form.
• 341,984,654
• 12,144,754,984
• 144.0086
• 23.00103
• Write this number 625 ten-thousandths.

• 4 ten millions
• 2 billions
• 6 ten-thousandths
• 3 hundred-thousandths
• 0._ _ _ _
• 0.0625

9
Objective Review

• You can now use place value to understand whole
  numbers to the billions and decimals to the
  hundred-thousandths.

• Why? You can now read larger numbers and smaller
  numbers (in decimals). This will help you later
  in your science classes e.g., chemistry.

10
Independent Practice

• Complete problems 5-16
• Copy original problem first.
• Show all work!

• If time, complete Mixed Review 17-24
• If still more time, work on Accelerated Math.