Write 1 to 10 using 3 and 5, each at least once, and using addition and subtraction. (For example, 7 = 5 + 5 − 3).

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Solution

1 = 3 + 3 − 5

2 = 5 − 3

3 = 3 + 3 + 3 + 3 + 3 + 3 − 5 − 5 − 5

4 = 3 + 3 + 3 − 5

5 = 3 + 3 + 3 + 3 + 3 − 5 − 5

6 = 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 − 5 − 5 − 5

7 = 3 + 3 + 3 + 3 − 5

8 = 3 + 5

9 = 5 + 5 + 5 − 3 − 3

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Similar questions

Make up as many expressions with numbers (no variables) as you from three numbers 5, 7 and 8. Every number should be used not more than once. Use only addition, subtraction and multiplication.

Make up as many expressions with numbers (no variables) as you can from three numbers 5, 7 and 8. Every number should be used not more than once. Use only addition, subtraction and multiplication.

(Hint: Three possible expressions are 5 + (8 − 7), 5 − (8 − 7), (5 × 8) + 7;

make the other expressions.)

Question 1

Make up as many expressions with numbers (no variables) as you can from three numbers 5, 7 and 8. Every number should be used not more than once. Use only addition, subtraction and multiplication.

Q. ''

5 + 7 = 10

and

4 + 3 = 7

''
Write the statement using the appropriate connective.

Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number:

(i) $\frac{2}{5} + \frac{7}{3} + \frac{- 4}{5} + \frac{- 1}{3}$

(ii) $\frac{3}{7} + \frac{- 4}{9} + \frac{- 11}{7} + \frac{7}{9}$

(iii) $\frac{2}{5} + \frac{8}{3} + \frac{- 11}{15} + \frac{4}{5} + \frac{- 2}{3}$

(iv) $\frac{4}{7} + 0 + \frac{- 8}{9} + \frac{- 13}{7} + \frac{17}{21}$

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Write 1 to 10 using 3 and 5, each at least once, and using addition and subtraction. (For example, 7 = 5 + 5 − 3).

1 = 3 + 3 − 5 2 = 5 − 3 3 = 3 + 3 + 3 + 3 + 3 + 3 − 5 − 5 − 5 4 = 3 + 3 + 3 − 5 5 = 3 + 3 + 3 + 3 + 3 − 5 − 5 6 = 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 − 5 − 5 − 5 7 = 3 + 3 + 3 + 3 − 5 8 = 3 + 5 9 = 5 + 5 + 5 − 3 − 3

1 = 3 + 3 − 5

2 = 5 − 3

3 = 3 + 3 + 3 + 3 + 3 + 3 − 5 − 5 − 5

4 = 3 + 3 + 3 − 5

5 = 3 + 3 + 3 + 3 + 3 − 5 − 5

6 = 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 − 5 − 5 − 5

7 = 3 + 3 + 3 + 3 − 5

8 = 3 + 5

9 = 5 + 5 + 5 − 3 − 3