Math  /  Numbers & Operations

QuestionSolve and round the FINAL answer to two decimal places. (1.18+9.10)×(8.521.26)=(1.18+9.10) \times(8.52-1.26)=

Studdy Solution

STEP 1

What is this asking? We're asked to add two numbers, subtract two other numbers, multiply the results, and then round the final answer to two decimal places. Watch out! Don't forget to round only at the very end!
Rounding too early can throw off our final answer.

STEP 2

1. Add inside the first parentheses.
2. Subtract inside the second parentheses.
3. Multiply the results.
4. Round the final answer.

STEP 3

Let's **add** the numbers inside the first parentheses: 1.181.18 and 9.109.10.
Why? Because that's what the problem tells us to do first!
So, 1.18+9.10=10.281.18 + 9.10 = 10.28.
Awesome!

STEP 4

Now, let's **subtract** the numbers inside the second parentheses: 8.528.52 and 1.261.26.
Remember, we're following the order of operations, also known as PEMDAS or BODMAS. 8.521.26=7.268.52 - 1.26 = 7.26.
Fantastic!

STEP 5

Alright, we've got our two results: **10.2810.28** from the addition and **7.267.26** from the subtraction.
Now, we **multiply** them together!
So, 10.287.26=74.672810.28 \cdot 7.26 = 74.6728.
Looking good!

STEP 6

Time to **round** our result to two decimal places.
Our number, 74.672874.6728, has a 22 in the thousandths place, which is less than 55, so we round *down*.
This gives us a **final answer** of 74.6774.67.

STEP 7

The final answer, rounded to two decimal places, is 74.6774.67.

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