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Chapter 1 Whole Numbers Digit – number from 0-9

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1 Chapter 1 Whole Numbers Digit – number from 0-9
Place value – the value of a place within a number addend – number added to another number Sum – the answer in addition Difference – the answer in subtraction Estimate – tells about how large a sum or difference will be Factor – one of the numbers being multiplied Product – the answer in multiplication Base – a factor; in 32, 3 is the base Exponent – tells how many times the base is used as a factor Power – the result of multiplying when factors are the same Divisor – the number used to divide Dividend – the number being divided Quotient – the answer in division Remainder – the number left over in division Polygon – a closed figure with 3 or more sides Perimeter – the sum of the lengths of the sides of a polygon

2 1.1 Place Value Digits: 0,1,2,3,4,5,6,7,8,9 Place value: the value of the place within the number Example 1: What is the value of 2 in 2,483,175? 2 is in the __________________ place. 2 has a value of _________________________. One millions 2,000,000 Example 2: What is the value of 4 in 2,483,175? 4 is in the ____________________________ place. 4 has a value of ______________________________. Hundred-thousands 400,000 Example 3: What is the value of 7 in 2,483, 175? 7 is in the _____________ place. 7 has a value of _____________. tens 70

3 1.2 Comparing Numbers Greater than > Less than < Equal to = Compare: find the larger or smaller number Example 1: Compare 8,402 and 453. Line up the digits by ____________________. 8,402 has ___________________ digits than 453. 8,402 is ________________ than 453 or 453 is ______________ than 8,402. 8,402 ______ or 453 ______8,402 Place more greater less > < Example 2: Compare 5,821 and 5,921. _________ ________ the numbers by place. 5,821 and 5,921 have the _______________ number of digits. Compare digits place by place starting on the _________________. ________ and ________ are equal. _______ and _________ are different. 5,821 is ________ than 5,921 or 5,921 is ___________ than 5,821. 5,821 _____ 5,921 or 5,921 _______ 5,821 Line up same left 5 5 8 9 less greater < >

4 1.3 Rounding Rounding: ____________________________________________
Changing a number to the nearest ten, hundred, or thousand. Example 1: Round 2,472 to the nearest thousand. 1. Find the digit in the ____________________ place. 2,472 2. Look at the digit to its ___________________. 2,472 If it is _______ or greater than__________, add 1 to the digit in the rounding place. If it is ____________ than 5, leave the digit in the rounding place alone. 3. Chang each digit to the _________ of the rounding place to ________. 2, _______ 2,472 rounded to the nearest thousand is _________________ rounding right 5 5 less right 000 2000

5 Example 2: Round 796 to the nearest ten. 1
Example 2: Round 796 to the nearest ten. 1. Find the digit in the _____________ place Look at the digit to its ____________. 796 If it is __________ or greater than 5, add ________ to the digit in the ______________ place. 3. Since ______ + _______ is 10, increase the digit to the ______ of the rounding place by ________. 4. Change __________ the digit in the rounding place and the digit to the _______ of the rounding place to _____. 796 rounded to the nearest 10 is _________. rounding right 5 1 rounding 9 1 left 1 both right 800

6 1.6 Estimating Sums and Differences
________________ tells you about how large a sum or difference will be. Estimate Example 1: Estimate the ___________________ of 856 and 278. Line up the digits by place. difference ____________ each number to the nearest hundred. ___________ the rounded numbers. 856 -278 900 -300 round subtract The ___________ of 856 and 278 is about __________________. difference 600

7 Example 2: Estimate the _________________ of 3,456 + 2,378 + 4,612.
Line up the digits by place. sum __________ each number to the nearest hundred. ________ the rounded numbers. 3,456 2,378 +4,612 3,000 2,000 +4,000 round add The _________ of 3, , ,612 is about____________. sum 10000 Example 3: You started with $1,920. You spent $279 and $413. Estimate how much you have left. Estimate how much you ________. Round first. Then add your digits. $279 + 413 $300 +400 You spent about_________. $700 spent Estimate how much you have ______________. Round first. Then add your digits. $1,920 700 $1,900 You have about _____________ left. $1200 left

8 1.8 Using Exponents _________________ one of the numbers being multiplied _________________ the answer in multiplication _________________ a factor; in 32, 3 is the base _________________ tells how many times the base is used as a factor _________________ the result of multiplying when factors are the same factor product base exponent power There is a shorter way to show multiplication when the _______________ are the same. 31 = is a factor _________time 32 = 3 x is a factor _________ times 33 = 3 x 3 x 3 3 is a factor _________ times

9 Example 1: 53 is the same as _____________________________ which equals ________________ ___________ is the base. ___________ is the exponent. Example 2: 105 is the same as _____________________________ which equals ________________ ___________ is the base. ___________ is the exponent. Example 3: 302 is the same as _______________________________ which equals ________________ ___________ is the base. ___________ is the exponent.

10 Division ____________________– the number used to divide ____________________– the number being divided ____________________– the answer in division ____________________– the number left over in division Divisor Dividend Quotient Remainder Different ways to show division.

11 1.10 Estimating Products and Quotients
Round the numbers 1st then either multiply or divide. Example 1 Estimate the product of 56 and 37. Round each number to the nearest ten. Then multiply 56 x37 60 X40 Example 2 Estimate each quotient. Round the dividend to the thousands. Round the divisor to the hundreds. Then divide. 2,786 ÷ 436 3,000 ÷ 400


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