Question
upstudy study bank question image url

4.3. \( 9 \times 54 \)

Ask by Davison Riley. in South Africa
Jan 23,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

\( 9 \times 54 = 486 \)

Solution

Problem **4.3. \( 9 \times 54 \)** To solve \( 9 \times 54 \), you can use the **distributive property** of multiplication over addition. Here's a step-by-step breakdown: 1. **Break down 54 into tens and units:** \[ 54 = 50 + 4 \] 2. **Multiply 9 by each part separately:** \[ 9 \times 50 = 450 \] \[ 9 \times 4 = 36 \] 3. **Add the two results together:** \[ 450 + 36 = 486 \] **Therefore,** \[ 9 \times 54 = 486 \] **Alternative Method: Traditional Multiplication** You can also perform traditional multiplication as follows: \[ \begin{array}{c} \phantom{0}54 \\ \times \phantom{0}9 \\ \hline \phantom{0}486 \\ \end{array} \] **Final Answer:** \( 9 \times 54 = 486 \)

Reviewed and approved by the UpStudy tutoring team

error msg
Explain
Simplify this solution

Extra Insights

Did you know that \( 9 \times 54 \) equals 486? It’s a neat product that often pops up in everyday situations, such as calculating the total number of items when you have bundles of 54 items each and 9 bundles in total. It's almost like a little math party! Also, have you ever wondered how to simplify multiplication like this? One trick is to break down 54 into manageable parts. So, instead of multiplying directly, you can do \( 9 \times (50 + 4) = 9 \times 50 + 9 \times 4 = 450 + 36 = 486 \). Voila! Multiply like a pro!

Related Questions

Frau Witt fährt fünfmal pro Woche zur Arbeit. Die Arbeitsstelle ist 8 km 300 m von zu Hause entfernt. Wie viele km fährt sie in einer Woche? Kreuze die richtigen Rechenwege anl Begrùndel Man rechnet 8300 mal 5 , weil eine Arbeitswoche meistens 5 Tage hat. Man rechnet 8300 mal 5 und verdoppelt das Ergebnis für die Rückfahrt. Man rechnet 8300 mal 7 , weil eine Woche 7 Tage hat. Man rechnet 8300 mal 10 , weil sie die Strecke 10-mal in einer Woche fährt, 2) Wandle um! Verwende den Umwandlungsraster! 1 km 281 m - \( \qquad \) m \( \quad 6 \mathrm{~km} 400 \mathrm{~m}= \) \( \qquad \) m \( 21 \mathrm{~km} 4 \mathrm{~m}= \) \( \qquad \) \( 4 \mathrm{~km} 70 \mathrm{~m}= \) \( \qquad \) m \( \quad 26 \mathrm{~km} 380 \mathrm{~m}= \) \( \qquad \) m \( 3 \mathrm{~km} 3 \mathrm{~m}= \) \( \qquad \) m m (3) Entdecke die einzelnen Maße! \[ \begin{array}{rr} 14000 \mathrm{~m}= & 13041 \mathrm{~m}= \\ 3418 \mathrm{~m}= & 7005 \mathrm{~m}= \end{array} \] \( \qquad \) \( \qquad \) (4) Wandle in das jeweils kleinste angegebene Maß um! \( 2 \mathrm{~m} 356 \mathrm{~mm}= \) \( \qquad \) \( 5 \mathrm{~m} 3 \mathrm{dm}= \) \( \qquad \) \( 36 \mathrm{~m} 1 \mathrm{dm} 2 \mathrm{~cm}= \) \( \qquad \) \( 3 \mathrm{~m} 40 \mathrm{~cm}= \) \( \qquad \) \( 10 \mathrm{~m} 6 \mathrm{~cm}= \) \( \qquad \) \( 3 \mathrm{~m} 8 \mathrm{~mm}= \) \( \qquad \) \( 24 \mathrm{~m} 8 \mathrm{~cm}= \) \( \qquad \) \( 30 \mathrm{~m} 4 \mathrm{dm}= \) \( \qquad \) \( 7 \mathrm{~m} 78 \mathrm{~mm}= \) \( \qquad \) (5) Entdecke die einzelnen Maße! \[ \begin{array}{ll} 4512 \mathrm{~mm}= & 45200 \mathrm{~m}= \\ 16000 \mathrm{~m}= & 3008 \mathrm{~cm}= \\ 4200 \mathrm{dm}= & 1379 \mathrm{~mm}= \\ 14034 \mathrm{~m}= & 9888 \mathrm{~mm}= \end{array} \] \( \qquad \) \( \qquad \) \( \qquad \) 6 Welche Reihe passt zum Umwandlungsraster? \( \mathrm{km}-\mathrm{m}-\mathrm{m}-\mathrm{dm}-\mathrm{cm}-\mathrm{cm}-\mathrm{mm} \) \( k m-m-m-d m-d m-c m-m m \) \( k m-m-m-m-d m-c m-m m \) \( m m-c m-d m-m-m-k m \) (7) Wiederholungsaufgaben \( \underline{2885 \cdot 24} \) Entdecke die einzelnen Maße: \( 37403: 4= \) \( \qquad \) \( 160 \mathrm{~g}= \) \( \qquad \)
Arithmetic Austria Jan 23, 2025
Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy