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A) Isi petak kosong pada garis nombor di ruang jawapan dengan nilai yang betul. b) Selesaikan/Solve: 3 4/7 x (8/9 - 2/3)

Mathematics

ScanSolve AI Answer

Answers

2 parts
a
-2.0
-1.4
-0.2
b

5063\frac{50}{63}

Step-by-step solution

5 steps

Part a· 2 steps

To fill in the empty boxes on the number line, first determine the interval size between the given numbers.

  1. Calculate the difference between the known values and the number of intervals between them.

    The known values are −0.8-0.8 and 1.0.
    The difference is 1.0−(−0.8)=1.0+0.8=1.81.0 - (-0.8) = 1.0 + 0.8 = 1.8.
    There are 3 intervals between −0.8-0.8 and 1.0.
    The length of each interval is 1.83=0.6\frac{1.8}{3} = 0.6.

  2. Fill in the empty boxes by adding or subtracting the interval length.

    The box to the right of −0.8-0.8 is −0.8+0.6=−0.2-0.8 + 0.6 = -0.2.
    The box to the left of −0.8-0.8 is −0.8−0.6=−1.4-0.8 - 0.6 = -1.4.
    The box to the left of −1.4-1.4 is −1.4−0.6=−2.0-1.4 - 0.6 = -2.0.

    The completed number line values are: −2.0\boxed{-2.0}, −1.4\boxed{-1.4}, −0.8-0.8, −0.2\boxed{-0.2}, 0.4, 1.0.

Part b

5063\frac{50}{63}

Solve the expression 347×(89−23)3\frac{4}{7} \times \left(\frac{8}{9} - \frac{2}{3}\right).

  1. Convert the mixed number to an improper fraction.

    347=(3×7)+47=21+47=2573\frac{4}{7} = \frac{(3 \times 7) + 4}{7} = \frac{21 + 4}{7} = \frac{25}{7}
  2. Solve the expression inside the parentheses by finding a common denominator.

    89−23=89−2×33×3=89−69=8−69=29\frac{8}{9} - \frac{2}{3} = \frac{8}{9} - \frac{2 \times 3}{3 \times 3} = \frac{8}{9} - \frac{6}{9} = \frac{8 - 6}{9} = \frac{2}{9}
  3. Multiply the results from Step 1 and Step 2.

    257×29=25×27×9=5063\frac{25}{7} \times \frac{2}{9} = \frac{25 \times 2}{7 \times 9} = \frac{50}{63}

    The solution is 5063\boxed{\frac{50}{63}}.

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