Question

name
write the answer for each problem. if you don’t know how to work the problem, put an x over it and move to the next problem.
complete the problems in order. simplify fractions to their most common form.
60 ÷ 5
-77 + (-18) + (-33)
\\(\frac{18}{10} ÷ \frac{9}{10}\\)
2.14 × 3.02
746 × 230
\\(\frac{5}{4} ÷ \frac{11}{10}\\)
-891 ÷ 81
-16 × -7
\\(1\frac{2}{5} × 1\frac{3}{4}\\)
-10 − (-8) − (-1)
-45 ÷ -9
108 × -21
-19 + 14 + (-6)
\\(\frac{5}{10} × \frac{7}{10}\\)
2.11\\(\overline{30.24}\\)
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tier: grade 6, form 2
correct
incorrect

Explanation:

Step1: Calculate integer division

$60 \div 5 = 12$

Step2: Add negative integers

$-77 + (-18) + (-33) = -77 -18 -33 = -128$

Step3: Divide fractions (reciprocal rule)

$\frac{18}{10} \div \frac{9}{10} = \frac{18}{10} \times \frac{10}{9} = 2$

Step4: Multiply decimals

$2.14 \times 3.02 = 6.4628$

Step5: Multiply large integers

$746 \times 230 = 746 \times 200 + 746 \times 30 = 149200 + 22380 = 171580$

Step6: Divide fractions (reciprocal rule)

$\frac{5}{4} \div \frac{11}{10} = \frac{5}{4} \times \frac{10}{11} = \frac{50}{44} = \frac{25}{22}$

Step7: Divide negative/positive integer

$-891 \div 81 = -11$

Step8: Multiply negative/positive integer

$-16 \times -7 = 112$

Step9: Multiply mixed fractions (convert first)

$1\frac{2}{5} \times 1\frac{3}{4} = \frac{7}{5} \times \frac{7}{4} = \frac{49}{20}$

Step10: Subtract negative integers (rewrite as addition)

$-10 - (-8) - (-1) = -10 + 8 + 1 = -1$

Step11: Divide negative integers

$-45 \div -9 = 5$

Step12: Multiply positive/negative integer

$108 \times -21 = -(108 \times 21) = -2268$

Step13: Add positive/negative integers

$-19 + 14 + (-6) = -19 +14 -6 = -11$

Step14: Multiply proper fractions

$\frac{5}{10} \times \frac{7}{10} = \frac{35}{100} = \frac{7}{20}$

Step15: Decimal long division

$30.24 \div 2.1 = 14.4$

Answer:

1. $60 \div 5 = 12$
2. $-77 + (-18) + (-33) = -128$
3. $\frac{18}{10} \div \frac{9}{10} = 2$
4. $2.14 \times 3.02 = 6.4628$
5. $746 \times 230 = 171580$
6. $\frac{5}{4} \div \frac{11}{10} = \frac{25}{22}$
7. $-891 \div 81 = -11$
8. $-16 \times -7 = 112$
9. $1\frac{2}{5} \times 1\frac{3}{4} = \frac{49}{20}$
10. $-10 - (-8) - (-1) = -1$
11. $-45 \div -9 = 5$
12. $108 \times -21 = -2268$
13. $-19 + 14 + (-6) = -11$
14. $\frac{5}{10} \times \frac{7}{10} = \frac{7}{20}$
15. $30.24 \div 2.1 = 14.4$