Calculate the following without the use of a calculator 4.1.1-3-(-2)(5)-(-4)raised by 3 4.1.2 50mutiple by 33 plus 25mutiple 50 out of 10 multiple 50 plus50 multiple 19 4.1.3 3raised by 3-(-square root 4)raised by 2 plus-(4) out of-4 multiple 4 plus 1 plus 17

Mathematics

ScanSolve AI Answer

Answer

71
8850
45

Step-by-step solution

12 steps

4.1.1

Interpret as −3−(−2)(5)−(−4)3-3 - (-2)(5) - (-4)^3

  1. Exponents first.

    (−4)3=(−4)×(−4)×(−4)(-4)^3 = (-4) \times (-4) \times (-4) =16×(−4)=−64= 16 \times (-4) = -64

  2. Multiplications next.

    (−2)(5)=−10(-2)(5) = -10

  3. Substitute values.

    −3−(−10)−(−64)-3 - (-10) - (-64)

  4. Left to right.

    −3−(−10)=−3+10=7-3 - (-10) = -3 + 10 = 7 7−(−64)=7+647 - (-64) = 7 + 64 7+64=717 + 64 = 71

    71

    4.1.2

    Interpret as 50×33+25×5010×50+50×1950 \times 33 + 25 \times \frac{50}{10} \times 50 + 50 \times 19

  5. First term.

    50×33=50×(30+3)50 \times 33 = 50 \times (30 + 3) 50×30=150050 \times 30 = 1500 50×3=15050 \times 3 = 150 1500+150=16501500 + 150 = 1650

  6. Second term, inside parentheses first.

    5010=5\frac{50}{10} = 5 25×5=12525 \times 5 = 125 125×50=125×(5×10)125 \times 50 = 125 \times (5 \times 10) 125×5=625125 \times 5 = 625 625×10=6250625 \times 10 = 6250

  7. Third term.

    50×19=50×(20−1)50 \times 19 = 50 \times (20 - 1) 50×20=100050 \times 20 = 1000 50×1=5050 \times 1 = 50 1000−50=9501000 - 50 = 950

  8. Add them up.

    1650+6250=79001650 + 6250 = 7900 7900+950=88507900 + 950 = 8850

    8850

    4.1.3

    Interpret as 33−(−4)2+[−4−4×4]+1+173^3 - (-\sqrt{4})^2 + \left[ -\frac{4}{-4} \times 4 \right] + 1 + 17

  9. Exponents and roots first.

    4=2\sqrt{4} = 2 −4=−2-\sqrt{4} = -2 (−2)2=(−2)×(−2)=4( -2 )^2 = (-2) \times (-2) = 4 33=3×3×3=9×3=273^3 = 3 \times 3 \times 3 = 9 \times 3 = 27

  10. Division inside brackets.

    4−4=−1\frac{4}{-4} = -1 −4−4=−(−1)=1-\frac{4}{-4} = -(-1) = 1 1×4=41 \times 4 = 4

  11. Substitute values.

    27−4+4+1+1727 - 4 + 4 + 1 + 17

  12. Left to right.

    27−4=2327 - 4 = 23 23+4=2723 + 4 = 27 27+1=2827 + 1 = 28 28+17=4528 + 17 = 45

    45

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

QCalculate and show your workings for the following: 1) 4.36 + 2/5 + 12.98 2) 16/3 + 100/23 + 7.5 3)…Q1 Evaluate without using a calculator: 4x(5-20) 3.1.1 5x(−3+7) + 20 ÷ (−4) 3.1.2 V25 - V8 + V125…QCalculate the following using the order of operations (BODMAS/PEMDAS): 1.f) (5-1) + (43), 2.a) (13)…QCalculate the following: a) 16 / 4 + 2 b) 17 − 2 × (5 − 3) c) 10 + 3 − 2 d) 9 − 4 + 6. Find the…
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.