Numerical expressions: how to solve and exercises

Correct answer: BRL 20.50

1st step: we solve the multiplications inside the parentheses.

100 - [ ( 3. 1,80 ) + ( 4. 2,50 ) + ( 12. 2,60 ) + 3,40 + ( 5. 5,90 ) ] =

100 - [ 5,4 + 10 + 31,2 + 3,40 + 29,5 ]

2nd step: we solve the sums inside the square brackets.

100 - [ 5,4 + 10 + 31,2 + 3,40 + 29,5 ] = 100 - 79,50

3rd step: we solve the last operation, which is subtraction.

100 - 79,50 = 20,50

Therefore, the change received by Ana is R$ 20.50.

Correct answer: 277

1st step: we solve the multiplication.

174 + 64 x 3 - 89 = 174 + 192 - 89

2nd step: as addition and subtraction have the same priority, we solve the addition first, as it appears before the subtraction.

174 + 192 - 89 = 366 - 89

3rd step: we solve the last operation, which is subtraction.

366 - 89 = 277

Therefore, 174 + 64 x 3 - 89 = 277

Correct answer: 29

1st step: we solve the potencies.

33 + 23 - 3 x 2 = 27 + 8 - 3 x 2

2nd step: we solve the multiplication.

27 + 8 - 3 x 2 = 27 + 8 - 6

3rd step: as addition and subtraction have the same priority, we solve the sum first, as it appears before the subtraction.

27 + 8 - 6 = 35 - 6

4th step: we solve the last operation, which is subtraction.

35 - 6 = 29

Therefore, 33 + 23 - 3 x 2 = 29

Correct answer: 170

1st step: we solve the radiciation.

378 - 52. √400: √25 = 378 - 52. 20: 5

2nd step: as multiplication and division have the same priority, we solve multiplication first, as it appears before division.

378 - 52. 20: 5 = 378 - 1040: 5

3rd step: we solve the division.

378 - 1040: 5 = 378 - 208

4th step: we solve the last operation, which is subtraction.

378 - 208 = 170

Therefore, 378 - 52. √400: √25 = 170

Correct answer: 836

1st step: we solve the operation inside the parentheses.

900 - 4. 2. ( 3 + 5 ) = 900 - 4. 2. 8

2nd step: we solve the multiplications.

900 - 4. 2 .8 = 900 - 8. 8 = 900 - 64

3rd step: we solve the last operation, which is subtraction.

900 - 64 = 836

Therefore, 900 - 4. 2. ( 3 + 5 ) = 836

Correct answer: 144

1st step: we solve the powers and then the subtraction inside parentheses.

24 + [ 25. ( 23 - 22 ) ] = 24 + [ 25. (8 - 4) ] = 24 + [ 25. 4 ]

2nd step: we solve the power and, later, the multiplication inside the square brackets.

24 + [ 25. 4 ] = 24 + 32. 4 = 24 + [ 32. 4 ] = 24 + 128

3rd step: we solve the potency.

24 + 128 = 16 + 128

4th step: we solve the last operation, which is the addition.

16 + 128 = 144

Therefore, 24 + [ 25. ( 23 - 22 ) ] = 144

Correct answer: 1

1st step: we solve the operation inside the parentheses.

1440: { 30. [ 20 + ( 49 - 35 ). 2 ] } = 1440: { 30. [ 20 + 14. 2 ] }

2nd step: we solve the operations inside the square brackets, starting with multiplication and then addition.

1440: { 30. [ 20 + 14. 2 ] } = 1440: { 30. [ 20 + 28] } = 1440: { 30. 48 }

3rd step: we solve the multiplication inside the keys.

1440: { 30. 48 } = 1440: 1440

4th step: we solve the last operation, which is the division.

1440: 1440 = 1

Therefore, 1440: { 30. [ 20 + ( 49 - 35 ). 2 ] } = 1

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