Solve all the questions from 1 to 19

Mathematics

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Step-by-step solution

38 steps

Here are the solutions to questions 1 to 19:

Part 1· 2 steps

  1. Perform the multiplication.

    18−6×2=18−1218 - 6 \times 2 = 18 - 12
  2. Perform the subtraction.

    18−12=618 - 12 = 6

    The answer is 6\boxed{\textbf{6}}.

Part 2· 2 steps

  1. Perform the division.

    12+15÷3=12+512 + 15 \div 3 = 12 + 5
  2. Perform the addition.

    12+5=1712 + 5 = 17

    The answer is 17\boxed{\textbf{17}}.

Part 3· 2 steps

  1. Perform the operation inside the parentheses.

    4×(5+3)=4×84 \times (5 + 3) = 4 \times 8
  2. Perform the multiplication.

    4×8=324 \times 8 = 32

    The answer is 32\boxed{\textbf{32}}.

Part 4· 2 steps

  1. Perform the division.

    25÷5−3=5−325 \div 5 - 3 = 5 - 3
  2. Perform the subtraction.

    5−3=25 - 3 = 2

    The answer is 2\boxed{\textbf{2}}.

Part 5· 2 steps

  1. Perform the multiplication.

    10+2×7−4=10+14−410 + 2 \times 7 - 4 = 10 + 14 - 4
  2. Perform addition and subtraction from left to right.

    10+14−4=24−4=2010 + 14 - 4 = 24 - 4 = 20

    The answer is 20\boxed{\textbf{20}}.

Part 6· 2 steps

  1. Perform the operation inside the parentheses.

    36÷(9−3)=36÷636 \div (9 - 3) = 36 \div 6
  2. Perform the division.

    36÷6=636 \div 6 = 6

    The answer is 6\boxed{\textbf{6}}.

Part 7· 2 steps

  1. Perform the multiplications.

    5×8−2×10=40−205 \times 8 - 2 \times 10 = 40 - 20
  2. Perform the subtraction.

    40−20=2040 - 20 = 20

    The answer is 20\boxed{\textbf{20}}.

Part 8· 3 steps

  1. Perform the multiplication inside the parentheses.

    100−(20+5×4)=100−(20+20)100 - (20 + 5 \times 4) = 100 - (20 + 20)
  2. Perform the addition inside the parentheses.

    100−(20+20)=100−40100 - (20 + 20) = 100 - 40
  3. Perform the subtraction.

    100−40=60100 - 40 = 60

    The answer is 60\boxed{\textbf{60}}.

Part 9· 2 steps

  1. Find a common denominator for the fractions.

    The least common multiple of 2 and 4 is 4.

    12+14=1×22×2+14=24+14\frac{1}{2} + \frac{1}{4} = \frac{1 \times 2}{2 \times 2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4}
  2. Add the fractions.

    24+14=2+14=34\frac{2}{4} + \frac{1}{4} = \frac{2 + 1}{4} = \frac{3}{4}

    The answer is \boxed{\textbf{\frac{3}{4}}}.

Part 10· 3 steps

  1. Find a common denominator for the fractions.

    The least common multiple of 5 and 10 is 10.

    35−110=3×25×2−110=610−110\frac{3}{5} - \frac{1}{10} = \frac{3 \times 2}{5 \times 2} - \frac{1}{10} = \frac{6}{10} - \frac{1}{10}
  2. Subtract the fractions.

    610−110=6−110=510\frac{6}{10} - \frac{1}{10} = \frac{6 - 1}{10} = \frac{5}{10}
  3. Simplify the fraction.

    510=12\frac{5}{10} = \frac{1}{2}

    The answer is \boxed{\textbf{\frac{1}{2}}}.

Part 11· 2 steps

  1. Multiply the numerators and the denominators.

    23×34=2×33×4=612\frac{2}{3} \times \frac{3}{4} = \frac{2 \times 3}{3 \times 4} = \frac{6}{12}
  2. Simplify the fraction.

    612=12\frac{6}{12} = \frac{1}{2}

    The answer is \boxed{\textbf{\frac{1}{2}}}.

Part 12· 3 steps

  1. To divide by a fraction, multiply by its reciprocal.

    56÷13=56×31\frac{5}{6} \div \frac{1}{3} = \frac{5}{6} \times \frac{3}{1}
  2. Multiply the fractions.

    56×31=5×36×1=156\frac{5}{6} \times \frac{3}{1} = \frac{5 \times 3}{6 \times 1} = \frac{15}{6}
  3. Simplify the fraction.

    156=52\frac{15}{6} = \frac{5}{2}

    The answer is \boxed{\textbf{\frac{5}{2}}}.

Part 13· 1 step

  1. Add the decimals.

    0.75+0.25=1.000.75 + 0.25 = 1.00

    The answer is 1\boxed{\textbf{1}}.

Part 14· 1 step

  1. Subtract the decimals.

    1.5−0.8=0.71.5 - 0.8 = 0.7

    The answer is 0.7\boxed{\textbf{0.7}}.

Part 15· 1 step

  1. Multiply the numbers.

    2.3×4=9.22.3 \times 4 = 9.2

    The answer is 9.2\boxed{\textbf{9.2}}.

Part 16· 1 step

  1. Divide the numbers.

    6.4÷2=3.26.4 \div 2 = 3.2

    The answer is 3.2\boxed{\textbf{3.2}}.

Part 17· 2 steps

  1. Calculate the squares.

    32=93^2 = 9 42=164^2 = 16
  2. Add the results.

    9+16=259 + 16 = 25

    The answer is 25\boxed{\textbf{25}}.

Part 18· 2 steps

  1. Calculate the square roots.

    25=5\sqrt{25} = 5 16=4\sqrt{16} = 4
  2. Add the results.

    5+4=95 + 4 = 9

    The answer is 9\boxed{\textbf{9}}.

Part 19· 3 steps

  1. Perform the operation inside the parentheses.

    (2+3)2−10=(5)2−10(2 + 3)^2 - 10 = (5)^2 - 10
  2. Calculate the square.

    (5)2−10=25−10(5)^2 - 10 = 25 - 10
  3. Perform the subtraction.

    25−10=1525 - 10 = 15

    The answer is 15\boxed{\textbf{15}}.

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