Math  /  Numbers & Operations

QuestionWhat is the product of 3.456×1.33.456 \times 1.3 ? 44.928 0.4928 4.4928 449.28

Studdy Solution

STEP 1

What is this asking? Find out what you get when you multiply 3.4563.456 by 1.31.3. Watch out! Don't forget to line up the decimal points correctly when multiplying!

STEP 2

1. Multiply the numbers
2. Count and place the decimal

STEP 3

Alright, let's get to it!
We're multiplying 3.4563.456 by 1.31.3.
First, let's ignore those pesky decimals for a moment and just multiply 34563456 by 1313.

STEP 4

Now, let's do the math!
3456×13=3456×(10+3)3456 \times 13 = 3456 \times (10 + 3)

STEP 5

First, multiply 34563456 by 1010:
3456×10=345603456 \times 10 = 34560

STEP 6

Next, multiply 34563456 by 33:
3456×3=103683456 \times 3 = 10368

STEP 7

Add those two results together:
34560+10368=4492834560 + 10368 = 44928

STEP 8

Now, let's bring back those decimals!
The original numbers 3.4563.456 and 1.31.3 have a total of **four** decimal places (three in 3.4563.456 and one in 1.31.3).

STEP 9

So, we need to place the decimal point in our product 4492844928 to give us four decimal places:
4492844.92844928 \rightarrow 44.928

STEP 10

The product of 3.456×1.33.456 \times 1.3 is **44.928**.

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