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Math  /  Numbers & Operations

QuestionSolve using the standard algorithm. a. 0.64÷4=0.64 \div 4= \qquad b. 6.45÷5=6.45 \div 5= \qquad c. 16.404÷6=16.404 \div 6= \qquad

Studdy Solution

STEP 1

1. The problems involve basic division of real numbers.
2. The division should be performed using standard long division methodology.

STEP 2

1. Solve 0.64÷4 0.64 \div 4 using long division.
2. Solve 6.45÷5 6.45 \div 5 using long division.
3. Solve 16.404÷6 16.404 \div 6 using long division.

STEP 3

Set up the division 0.64÷4 0.64 \div 4 using long division.
0.64÷4 0.64 \div 4

STEP 4

Divide 0.64 0.64 by 4 4 step-by-step, starting from the leftmost digit.
1. Divide 6 6 by 4 4 to get 1.5 1.5 as the quotient.
2. Place the decimal point in the quotient directly above its position in the dividend.
3. Multiply 4 4 by 1.5 1.5 to get 6 6 , subtract from 6 6 to get 0 0 .
4. Bring down the next digit 4 4 , making it 04 04 .
5. Divide 4 4 by 4 4 to get 1 1 .
This yields:
0.16 0.16

STEP 5

Set up the division 6.45÷5 6.45 \div 5 using long division.
6.45÷5 6.45 \div 5

STEP 6

Divide 6.45 6.45 by 5 5 step-by-step, starting from the leftmost digit.
1. Divide 6 6 by 5 5 to get 1.29 1.29 as the quotient.
2. Place the decimal point in the quotient directly above its position in the dividend.
3. Multiply 5 5 by 1.29 1.29 to get 6.45 6.45 , subtract from 6.45 6.45 to get 0 0 .
This yields:
1.29 1.29

STEP 7

Set up the division 16.404÷6 16.404 \div 6 using long division.
16.404÷6 16.404 \div 6

STEP 8

Divide 16.404 16.404 by 6 6 step-by-step, starting from the leftmost digit.
1. Divide 16 16 by 6 6 to get 2.734 2.734 as the quotient.
2. Place the decimal point in the quotient directly above its position in the dividend.
3. Multiply 6 6 by 2.734 2.734 to get 16.404 16.404 , subtract from 16.404 16.404 to get 0 0 .
This yields:
2.734 2.734
Solutions: a. 0.64÷4=0.16 0.64 \div 4 = 0.16 b. 6.45÷5=1.29 6.45 \div 5 = 1.29 c. 16.404÷6=2.734 16.404 \div 6 = 2.734

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