Rounding numbers - presentation. Approximate values ​​of numbers

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Approximate equalities ABOUT the sign of approximate equality What are the approximate values ​​for? Estimation of arithmetic operations In practical calculations, it is not so much the convenience of calculations that matters as the degree of accuracy of the answer. In mathematics, there are rounding (approximation) rules that allow you to replace the numbers with their nearest "sufficiently round" numbers with the greatest accuracy.

What round number with one or more zeros should replace 2583 to keep the error as small as possible? Consider the case when we want to have only one zero in the record

Rounding off a natural number means discarding one or more low-order digits, replacing them with zeros. 1.If the first of the discarded digits is less than 5, then the last stored digit remains unchanged. 2.If the first of the discarded digits is 5 or greater than 5, then the last stored digit is increased by 1.

747. Read approximate equalities. To what place is each number rounded? one)

Determine to what level the numbers could be rounded? 12300; 4570; 9800; 127. To what digit is the rounding done? Find the error; ; ; ; ; ; ;

Express the number in tens and round to one: 75, 34, 816, 421, 1859, SAMPLE: 538 = 53.8 dec. 54 dec.

Approximate Equalities What does the sign mean? What are approximate values ​​for? Estimation of arithmetic operations In practical calculations, it is not so much the convenience of calculations that matters as the degree of accuracy of the answer. What are the rules of rounding (approximation) in mathematics that allow replacing the numbers with their nearest "sufficiently round" numbers with the greatest accuracy?

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№ 1. Compare: 0.483 0.479 95.3 95.3000 4.781 4.79 0.045 0.0045 № 2. find the number a № 3. between which natural numbers is the decimal fraction:

02.24.16 Cool work Approximate values ​​of numbers. Rounding numbers

Rounding rule If - 5,6,7,8,9, then by 1. If - 0,1,2,3,4, then do not change. Examples: 1) 15, 6 42≈ 15, 6; 18.6 57 ≈18.7 2) 0.0 7 26 ≈0.0 7; 10.8 9 65 ≈10.9 0 3) 1 4 4.54 ≈1 4 0; 2 1 5.34 ≈2 2 0; 1 6 3.12 ≈1 6 0

Are the numbers rounded correctly? 1) 26.3 87 ≈ 26.4

Are the numbers rounded correctly? 1) 26.3 87 ≈ 26.4 yes

Are the numbers rounded correctly? 1) 26.3 87 ≈ 26.4 yes 2) 0.9 0 71 ≈ 0.9 2

Are the numbers rounded correctly? 1) 26.3 87 ≈ 26.4 yes 2) 0.9 0 71 ≈ 0.9 2 no 0.9 1

Are the numbers rounded correctly? 1) 26.3 87 ≈ 26.4 yes 2) 0.9 0 71 ≈ 0.9 2 no 0.9 1 3) 4.9 0 1 ≈ 4.9 0

Are the numbers rounded correctly? 1) 26.3 87 ≈ 26.4 yes 2) 0.9 0 71 ≈ 0.9 2 no 0.9 1 3) 4.9 0 1 ≈ 4.9 0 yes

Are the numbers rounded correctly? 1) 26.3 87 ≈ 26.4 yes 2) 0.9 0 71 ≈ 0.9 2 no 0.9 1 3) 4.9 0 1 ≈ 4.9 0 yes 4) 3.64 2 87 ≈ 3 , 64 2

Are the numbers rounded correctly? 1) 26.3 87 ≈ 26.4 yes 2) 0.9 0 71 ≈ 0.9 2 no 0.9 1 3) 4.9 0 1 ≈ 4.9 0 yes 4) 3.64 2 87 ≈ 3 , 64 2 no 3.64 3

Are the numbers rounded correctly? 1) 26.3 87 ≈ 26.4 yes 2) 0.9 0 71 ≈ 0.9 2 no 0.9 1 3) 4.9 0 1 ≈ 4.9 0 yes 4) 3.64 2 87 ≈ 3 , 64 2 no 3.64 3 5) 0.779 ≈ 1

Are the numbers rounded correctly? 1) 26.3 87 ≈ 26.4 yes 2) 0.9 0 71 ≈ 0.9 2 no 0.9 1 3) 4.9 0 1 ≈ 4.9 0 yes 4) 3.64 2 87 ≈ 3 , 64 2 no 3.64 3 5) 0.779 ≈ 1 yes

Are the numbers rounded correctly? 1) 26.3 87 ≈ 26.4 yes 2) 0.9 0 71 ≈ 0.9 2 no 0.9 1 3) 4.9 0 1 ≈ 4.9 0 yes 4) 3.64 2 87 ≈ 3 , 64 2 no 3.64 3 5) 0.779 ≈ 1 yes 6) 3 8.24 ≈ 3 0

Are the numbers rounded correctly? 1) 26.3 87 ≈ 26.4 yes 2) 0.9 0 71 ≈ 0.9 2 no 0.9 1 3) 4.9 0 1 ≈ 4.9 0 yes 4) 3.64 2 87 ≈ 3 , 64 2 no 3.64 3 5) 0.779 ≈ 1 yes 6) 3 8.24 ≈ 3 0 no 4 0

If in the tenth place there is a number 0,1,2,3,4, then the whole does not change, and the fractional is discarded 2. If in the tenth place there is a number 5,6,7,8,9, then the whole is increased by one, and the fractional is discarded Rounding a number is a mathematical operation that allows you to reduce the number of digits in a number by replacing the number with its approximate value with a certain precision.

7,265 11,638 0,23 8,5 300,459 6,51801 0,8

Round to hundredths

Find the desired digit increase the selected digit by one (if the 3.first discarded digit is 5,6,7,8,9) rewrite the selected digit unchanged (if the first discarded digit is 0.1,2,3,4) discard all digits existing after the selected 4. replace all digits after the selected zeros to the end of the integer part 2. Rewrite all the numbers before it

Round off: A) to tenths 2.781 3.1458 1025.962 80.46 B) to hundredths 0.07258 2.45556 20.091 85.544 3.355 C) to tens 178.5 2085.35 333.3 300.17 138

283.4 65 283.5 30 9.746 310 543.8 97 543.90 Restore the record

Homework p.33 No. 1297 No. 1301