Guided notes Section 1.1 thru 1.4

Guided notes Section 1.1 thru 1.4

Section 1.2 Ordering and Rounding whole numbers

• We know that if we look at a ruler, the numbers get larger as you move left to right. If we go backward on the ruler the numbers get smaller.

• 5>3 is an inequality showing that 5 is greater than 3. 3<5 is the reverse inequality showing the 3 is less than 5.

• Ordering numbers is like looking at the ruler, we are going from smaller values on the left to the larger value on the right.

  
  

• Place value is helpful when looking at the order of the numbers.

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Multiple Choice

Place these numbers in order from greatest to least:

978 637 923

• 978 923 637

• 978 637 923

Multiple Choice

Put in order from least to greatest:

6,089 6,135 6,092

• 6,089 6,092 6,135

• 6,092 6,135 6,089

Multiple Choice

Which number is the greatest?

• 8,341

• 8,431

• 8,134

Multiple Choice

Which set of numbers is ordered from least to greatest?

• 738, 783, 837, 873

• 873, 837, 783, 738

Rounding Numbers

• There are 2 simple rules when rounding:

• 1. If the number to the right of the place value that is being rounded is less than 5 leave the value alone and change everything behind it to zero.

• 2. If the number to the right of the place value that is being rounded is greater than 5, the value will go up one and change everything behind it to zero.

• EX. Round 358 to the nearest 10.

• I look at the 10 place and there is a 5, the number to the right is 8; that is larger than 5 so the 5 will go up to 6 and the numbers behind it will change to zero. 360

• Ex. Round 2, 741 to the nearest 100.

• In the hundred place is the 7, look to the right the value is less than 5 so the 7 does not change and everything behind it changes to zero. 2,700.

Multiple Choice

Round 79,854 to the thousands place.

• 79,000

• 10,000

• 80,000

• 9,000

Multiple Choice

Round 999,999,111 to the tens place.

• 999,000,000

• 20

• 10

• 999,999,110

Multiple Choice

Round 55,555 to the thousands place.

• 5,000

• 6,000

• 55,000

• 56,000

Multiple Choice

Round 1,295,631 to the hundreds place.

• 1,000,000

• 600

• 1,295,600

• 1,295,7000

Multiple Choice

Round 123,456 to the hundred thousands place.

• 100,000

• 123,000

• 120,000

• 110,000

Multiple Choice

Round 12,658 to the tens place.

• 12,000

• 60

• 12,660

• 12,650

Section 1.1 Standard Nummerals

• Counting numbers like 1,2, 3... are whole numbers. Numbers and numerals are closely related. A numeral is a symbol that represents the number.

• A numbers value depends on its place. Place value detemines where the digit sits in its group of three or period. There are three place values; one, tens and hundreds. Each of these place values repeats as the periods they are in change.

Place Value Chart

The chart on the left shows the periods and the place values up through the billions period. The number 1, 408 is written in standard form. The 4 is in the hundreds place and the ones period.

Standard. expanded and written forms of numbers.

• Standard form is the numbers in numeral form: 85

• Written form is the numbers in word form: eighty-five

• Expanded form is the number written in its place value with zeros added to hold its position in the period: 80 + 5

Multiple Choice

Which number below has a 9 in the hundred thousands place?

• 123,456,789
• 987,654,321
• 999,888,777
• 768,921,543

Multiple Choice

What is the standard form of the number  1,000 + 300 + 50 + 7

• 10,357
• 1,305
• 1,357
• 13, 507

Multiple Choice

Explain the relationship between the two 5's in the number 455,721.

• The place value 5 in the ten thousands is 10 times larger than the 5 in the hundreds.
• One of the 5's is in the thousands and the other in the ten thousands.
• The place value of the 5 in the hundreds is 10 times larger than the thousands.
• One of the 5's is in the hundreds and the other is in the ten thousands.

Multiple Choice

The 4 is in the ________ place in the number 450,322.

• ones
• ten thousands
• thousands
• hundred thousands

Multiple Choice

How would you write twenty-one thousand, six hundred fifty-six in standard form?

• 21,656
• 21,566
• 21,665
• 2,165

Multiple Choice

What is the value of of the digit in red:
6762

• 9
• 60
• 900
• 9000

Section 1.3 Addition

• Addend + Addend = Sum

• These are the terms we use when talking about addition.

• Ex. 3 + 1 = 4

• When adding larger numbers, line them up according to place value.

• There are 2 properties that can be used when working with addition.

• Commutative property and associative property of addition.

• Ex. Commutative 3 + 5 = 5 + 3 it doesn't matter which way they are added they will

Multiple Choice

769+265

• 934
• 1000
• 1034
• 563

Multiple Choice

Add 518+336=

• 1254
• 800
• 182
• 854

Multiple Choice

Kate found 19 berries and Miranda found 21 berries. How many berries did they find altogether?

• 30
• 40
• 20
• 2

Multiple Choice

What is the sum?
664+223

• 887
• 886
• 441
• 431

Section 1.4 Subtraction

• Subtraction is the opposite operation from addition.

• We have a minuend - subtrahend = difference. the minuend is the larger number than the subtrahend. When you subtract, you need to line the numbers up according to place value.

• Sometimes you need to borrow from the number next to the value being subtracted because it is too small to complete the answer.

• Ex. 450 - 326

• You cannot subtract 0 - 6 so you borrow 10 from the 5, leaving a 4 but changing the 0 to 10.. Now you can subtract 10 - 6 = 4; 4 - 2 = 2 and 4 - 3 = 1 for an answer of 124.

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Multiple Choice

• 263

• 143

• 243

• 1,463

Multiple Choice

• 134

• 14

• 80

• 4

Multiple Choice

952 - 87 =

• 939
• 865
• 1039
• 453

Multiple Choice

45 - 39 =

• 84
• 14
• 6
• 0

Multiple Choice

437 - 37 =

• 474
• 23
• 400
• 467

Multiple Choice

154  -  72  =

• 76
• 82
• 31
• 226

Multiple Choice

643 - 22 = 

• 621
• 619
• 532
• 21