Math  /  Numbers & Operations

Question49.63×43\begin{array}{r}49.63 \\ \times \quad 43 \\ \hline\end{array}

Studdy Solution

STEP 1

What is this asking? We need to multiply 49.6349.63 by 4343. Watch out! Don't forget about the decimal point when you get to the final answer!

STEP 2

1. Multiply by 3
2. Multiply by 40
3. Add the results

STEP 3

Let's **start** by multiplying 49.6349.63 by 33.
Remember, this is like adding 49.6349.63 to itself three times!
Why are we doing this first?
Because 4343 is 40+340 + 3, and we can break down our multiplication into smaller, easier chunks.

STEP 4

349.63=3(40+9+0.6+0.03)3 \cdot 49.63 = 3 \cdot (40 + 9 + 0.6 + 0.03) =(340)+(39)+(30.6)+(30.03)= (3 \cdot 40) + (3 \cdot 9) + (3 \cdot 0.6) + (3 \cdot 0.03) =120+27+1.8+0.09= 120 + 27 + 1.8 + 0.09=147+1.89= 147 + 1.89=148.89= 148.89So, 349.63=148.893 \cdot 49.63 = \textbf{148.89}.
Remember this **result**, we'll need it later!

STEP 5

Now, let's multiply 49.6349.63 by 4040.
Remember, multiplying by 4040 is the same as multiplying by 44 and then by 1010.

STEP 6

4049.63=41049.6340 \cdot 49.63 = 4 \cdot 10 \cdot 49.63 =10449.63= 10 \cdot 4 \cdot 49.63 =10(4(40+9+0.6+0.03))= 10 \cdot (4 \cdot (40 + 9 + 0.6 + 0.03))=10((440)+(49)+(40.6)+(40.03))= 10 \cdot ((4 \cdot 40) + (4 \cdot 9) + (4 \cdot 0.6) + (4 \cdot 0.03))=10(160+36+2.4+0.12)= 10 \cdot (160 + 36 + 2.4 + 0.12)=10198.52= 10 \cdot 198.52=1985.2= \textbf{1985.2}So, 4049.63=1985.240 \cdot 49.63 = \textbf{1985.2}.
Hold on to this **result** too!

STEP 7

Alright, we're almost there!
Now, we just need to **add** the two results we got from multiplying by 33 and 4040.
Why? Because 4349.63=(40+3)49.63=(4049.63)+(349.63)43 \cdot 49.63 = (40 + 3) \cdot 49.63 = (40 \cdot 49.63) + (3 \cdot 49.63).

STEP 8

148.89+1985.2=2134.09148.89 + 1985.2 = \textbf{2134.09}

STEP 9

So, 49.6343=2134.0949.63 \cdot 43 = \textbf{2134.09}!

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord