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Lesson 3

Lesson 3. Continued Four Operations-Division. 34453 ÷ 23 = 1497 R 22 23 114 92 225 207 183 161 22. The Whole Numbers Division.

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Lesson 3

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  1. Lesson 3 Continued Four Operations-Division

  2. 34453 ÷ 23 = 1497 R22 23 114 92 225 207 183 161 22 The Whole Numbers Division • Definition: if a. b. and c represent whole numbers and if A/B=C, then it must be true that A=B x C • Example: • 72÷9= 8 72/9=8 • Dividend is the number being divided; 72 • Divisor is the number doing the dividing; 9 • Quotient is the answer; 8 • Whatever is “left over” is indicated as a Remainder, usually denoted by the letter R. • Example: 45/7=6 R 3 • Note: the remainder cannot be larger than the divisor.

  3. The Decimal Numbers Division • The decimal number divide by the whole number: • Rule: to divide a decimal number by a whole number use the long-division algorithm and place the decimal in the quotient directly above the decimal in the dividend. • Rule: to divide a decimal number by a power of ten move the decimal point to left a number of places equal to the number of zero in the power of ten. • Example: 231.5 / 10=23.15 • Rule: if a division is to be rounded to certain # of decimal places. The quotient must be carried to one more place to correctly round to desired place.

  4. Divide by decimal numbers(both of dividend and divisor are decimals): • Rules: • to divide a decimal number or whole number by a decimal number move the decimal point of the divisor all the way to right until the divisor is a whole number. • Examples: • 7.834 /. 02 • 2. 50 / .0025 (be careful the location o decimal points is) • Then move the decimal point the same digits of the places in the dividend to the right. • If the question asks you to round the place value you have to round the number as the questions ask for

  5. Continued • Tips: • Should be careful the format of; • Where the decimal point is if the dividend is a whole number;

  6. Grouping Symbols • Symbols: Exponent, Parentheses (1), Brackets [ 2 ], and Braces { 3 } . • Name other examples

  7. Grouping numbers without symbols • Rule: if an expression without grouping symbols contains only additions and subtractions, these operations are performed in order from left to right. • Example: • 10+5-3+8 or • 8-4+9-4

  8. Continued • Rule: if an expression without grouping symbols contains multiplication, division, additions, and subtractions, these operations are performed by MSAD or DMSA in order from left to right. • Name examples:

  9. Continued • Rule: if no grouping symbols occur in an expression, multiplication and division are performed from left to right, and then addition and subtraction from left to right. • Example: • 4X3÷2-2+5 • 12 ÷6X2+2-4

  10. Four operations with the grouping symbols • Four operations with the grouping symbols are first and Parentheses are most commonly use when no other grouping symbols are involved. • Exponent, Parentheses (1), Brackets [ 2 ], and Braces { 3 } • EPMDAS or EPDMSA Left to Right

  11. Continued • Rule: when simplifying an expression containing grouping symbols with grouping symbols, remove the innermost set of symbols first ( 1 )[ 2 ] { 3 } and follow EPMDAS or EPDMSA from left to right • No sign between a number and any parentheses that means Multiplication • Examples: • 5+ [ 8- (3+1) ] • 18-{5+ [4 (5-2) -7] } • 3 [4+ (3-1) ] + 5 [12- (8+2) ]

  12. Lesson Summary • Complete the Follow-up Assignment • Prepare for the next lesson

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