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Math  /  Numbers & Operations

Question17. Estimate the answer. Find the actual answer. 5.54+3.25.54+3.2
Estimate: \qquad
Actual: \qquad

Studdy Solution

STEP 1

What is this asking? We need to guess the sum of two decimal numbers, then calculate the exact sum. Watch out! Don't forget to line up the decimal points when adding!

STEP 2

1. Estimate the sum.
2. Calculate the actual sum.

STEP 3

Let's round 5.545.54 to 66 because 0.540.54 is closer to 11 than to 00.
We're rounding up!

STEP 4

Let's round 3.23.2 to 33 because 0.20.2 is closer to 00 than to 11.
We're rounding down!

STEP 5

Now, let's add our rounded numbers: 6+3=96 + 3 = 9.
So, our **estimated sum is 9**.
Woohoo!

STEP 6

**Write down** the numbers, carefully lining up the decimal points: 5.54+3.2\begin{array}{ccc} & 5.5 & 4 \\ + & 3.2 & \\ \end{array} We added a zero to 3.23.2 as a placeholder, making it 3.203.20.
This helps us keep things neat and tidy!

STEP 7

**Add the hundredths**: 4+0=44 + 0 = 4. 5.54+3.204\begin{array}{ccc} & 5.5 & 4 \\ + & 3.2 & 0 \\ & & 4 \end{array}

STEP 8

**Add the tenths**: 5+2=75 + 2 = 7. 5.54+3.20.74\begin{array}{cccc} & 5 & .5 & 4 \\ + & 3 & .2 & 0 \\ & & & .7 & 4 \end{array}

STEP 9

**Add the ones**: 5+3=85 + 3 = 8. 5.54+3.208.74\begin{array}{ccc} & 5.5 & 4 \\ + & 3.2 & 0 \\ & 8.7 & 4 \end{array}

STEP 10

So, the **actual sum is** 8.748.74.

STEP 11

Estimate: 99 Actual: 8.748.74

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