Estimate the value of an expression

When an exact answer is not necessary and a quick approximation will do,we can use estimation.

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QUESTION OF

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Views #: 242

Questions #: 15

Time: 15 minutes

Pass Score: 80.0%

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Stock Market – Estimate Net Gain or Loss (Nearest Ten)

2 pts

volume_mute

The Dow Jones Industrial Average changes for the week of October 13–17, 2008 were:

Mon	Tue	Wed	Thu	Fri
+936	−78	−733	+402	−123

Round each number to the nearest ten and estimate the net gain or loss for the week.

Gain of approximately 410 points

Loss of approximately 410 points

Gain of approximately 530 points

Loss of approximately 530 points

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Stock Market

2 pts

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The Dow Jones changes for December 15–19, 2008 were:

Mon	Tue	Wed	Thu	Fri
−63	+358	−98	−219	−27

Round each number to the nearest ten and estimate the net gain or loss for that week.

Net gain of approximately 50 points

Net loss of approximately 50 points

Net gain of approximately 500 points

Net loss of approximately 500 points

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Estimate to the Nearest Ten

2 pts

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Round each number to the nearest ten and estimate the value of the expression:

\[-379 + (-13) + 287 + (-671)\]

\(-780\)

\(-760\)

\(-776\)

\(-800\)

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Explanation

Estimate – Four Values to Nearest Ten

2 pts

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Round each number to the nearest ten and estimate the value of the expression:

\[-363 + (-781) + 594 + (-42)\]

\(-590\)

\(-600\)

\(-592\)

\(-570\)

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Explanation

Estimate to the Nearest Hundred

2 pts

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Round each number to the nearest hundred and estimate the value of the expression:

\[-3{,}887 + (-5{,}806) + 4{,}701\]

\(-5{,}000\)

\(-4{,}900\)

\(-5{,}100\)

\(-4{,}992\)

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Estimate – Four Values to Nearest Hundred

2 pts

volume_mute

Round each number to the nearest hundred and estimate the value of the expression:

\[-5{,}684 + (-2{,}270) + 3{,}404 + 2{,}689\]

\(-1{,}900\)

\(-1{,}861\)

\(-2{,}000\)

\(-1{,}800\)

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Explanation

Stock Market Application – Jan 5–9, 2009

2 pts

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For the week of January 5–9, 2009, the Dow Jones changes were:

Mon	Tue	Wed	Thu	Fri
−74	+61	−227	+27	−129

Round each number to the nearest ten and estimate the net gain or loss for the week.

Net loss of approximately 340 points

Net gain of approximately 340 points

Net loss of approximately 342 points

Net gain of approximately 88 points

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Explanation

Sort the Steps of the Estimation Strategy

2 pts

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Please drag and drop the options to sort them

Drag the steps of the estimation process into the correct order (Step 1 first).

Add all rounded numbers together to find the estimated result.

Identify which numbers in the expression are positive and which are negative.

Round each number in the expression to the specified place value.

State whether the result represents a net gain or a net loss.

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Explanation

Round Each Value to the Nearest Ten

3 pts

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Original	Rounded
−63	1($)
+358	2($)
−98	3($)
−219	4($)
−27	5($)

Round each Dow Jones change from December 15–19, 2008 to the nearest ten. Drag the correct rounded value into each placeholder:

Original	Rounded
−63	(1)
+358	(2)
−98	(3)
−219	(4)
−27	(5)

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Explanation

Why Do We Use Estimation?

1 pts

volume_mute

According to the section, estimation is most useful when:

An exact answer is required and precision matters.

An exact answer is not needed and a quick approximation will do.

The numbers in the expression are already rounded.

The expression contains only addition and subtraction.

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Which Rounded Values Are Correct?

2 pts

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Which of the following pairs show a number correctly rounded to the nearest ten? Select all that apply.

\(-733 \to -730\)

\(936 \to 930\)

\(-123 \to -120\)

\(402 \to 400\)

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Correct Answer

Explanation

Interpret the Sign of an Estimated Result

1 pts

volume_mute

After rounding and adding, you get an estimated result of \(-50\) for a week's Dow Jones changes.

What does this negative result mean?

The Dow gained approximately 50 points that week.

The Dow lost approximately 50 points that week.

The Dow did not change that week.

The estimate is too imprecise to draw a conclusion.

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Explanation

Classify: Round Up or Round Down to Nearest Ten?

2 pts

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Numbers

×−78

×−733

×936

×402

×−123

Rounds up (ones digit ≥ 5)

Rounds down (ones digit < 5)

Drag each number into the correct category based on how it rounds to the nearest ten.

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Explanation

Vocabulary Hangman – What Is a Quick Approximation Called?

1 pts

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Lives: 10

Your Answer (Missing Word):

When an exact answer is not needed, a quick approximation of the actual answer is called an ______.

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Explanation

Choose the Right Rounding Precision

1 pts

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You need to estimate the result of:

\[-5{,}684 + (-2{,}270) + 3{,}404 + 2{,}689\]

The problem asks you to round to the nearest hundred. Which rounding of \(-5{,}684\) is correct?

\(-5{,}700\)

\(-5{,}600\)

\(-5{,}680\)

\(-6{,}000\)

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Year 8

Stock Market – Estimate Net Gain or Loss (Nearest Ten)

Correct Answer

Explanation

Stock Market

Correct Answer

Explanation

Estimate to the Nearest Ten

Correct Answer

Explanation

Estimate – Four Values to Nearest Ten

Correct Answer

Explanation

Estimate to the Nearest Hundred

Correct Answer

Explanation

Estimate – Four Values to Nearest Hundred

Correct Answer

Explanation

Stock Market Application – Jan 5–9, 2009

Correct Answer

Explanation

Sort the Steps of the Estimation Strategy

Correct Answer

Explanation

Round Each Value to the Nearest Ten

Correct Answer

Explanation

Why Do We Use Estimation?

Correct Answer

Explanation

Which Rounded Values Are Correct?

Correct Answer

Explanation

Interpret the Sign of an Estimated Result

Correct Answer

Explanation

Classify: Round Up or Round Down to Nearest Ten?

Correct Answer

Explanation

Vocabulary Hangman – What Is a Quick Approximation Called?

Correct Answer

Explanation

Choose the Right Rounding Precision

Correct Answer

Explanation

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