1. Critical Thinking & Problem Solving

Estimation and Graphs

1. Critical Thinking & Problem Solving

Estimation and Graphs: Videos & Practice Problems

Video Lessons

Concept

Rounding Review

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Problem

Round to the specified place value to estimate the calculation. Then compare to the actual result.
(A) Nearest tenth: $48.76 plus 19.84 en dash 7.29$

Estimated: $75.9$ ; Actual: $75.89$

Estimated: $61.3$ ; Actual: $61.31$

Estimated: $60.3$ ; Actual: $61.31$

Estimated: $61.3$ ; Actual: $75.89$

Problem

Round to the specified place value to estimate the calculation. Then compare to the actual result.
(B) Nearest whole number: $19.5 bullet 46.71$

Estimated: $911$ ; Actual: $910.845$

Estimated: $900$ ; Actual: $940$

Estimated: $940$ ; Actual: $910.845$

Estimated: $911$ ; Actual: $940$

Concept

Estimation and Problem Solving

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Problem

Determine if the following is an estimate or exact value.
(A) The distance from the school to the museum is almost 3 miles.

ESTIMATE

EXACT VALUE

Cannot be determined

Problem

Determine if the following is an estimate or exact value.
(B) A standard basketball hoop is 10 feet tall.

ESTIMATE

EXACT VALUE

Cannot be determined

Example

Estimation and Problem Solving Example 1

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Example

Estimation and Problem Solving Example 2

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Concept

Estimation with Data and Graphs

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Example

Estimation with Data and Graphs Example 3

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Problem

A souvenir shop tracks the number of custom orders they receive during the first four months of their busy season. Use estimation to answer the questions below.
(A) Estimate the number of custom orders in the third month.
$Line graph showing custom orders rising from 30 in month 1 to 95 in month 3, then dropping to 70 in month 4.$

$175$

$95$

$80$

$110$

Problem

A souvenir shop tracks the number of custom orders they receive during the first four months of their busy season. Use estimation to answer the questions below.
(B) Estimate the sum of custom orders for the first four months of tourist season.
$Line graph showing custom orders rising from 30 in month 1 to 95 in month 3, then dropping to 70 in month 4.$

$70$

$110$

$250$

$240$

Problem

A souvenir shop tracks the number of custom orders they receive during the first four months of their busy season. Use estimation to answer the questions below.
(C) The store plans on running a special promotion for their custom items if they sell more than 240 custom items in the first four months. Should they run the promotion?
$Line graph showing custom orders rising from 30 in month 1 to 95 in month 3, then dropping to 70 in month 4.$

$250 is greater than 240$ , Yes

$250 is greater than 240$ , No

$110 is less than 240$ , Yes

$110 is less than 240$ , No

Example

Estimation with Data and Graphs Example 4

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Example

Estimation with Data and Graphs Example 5

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Example

Estimation with Data and Graphs Example 6

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Your Liberal Arts Math tutors

Patrick Ford

Physics and Math Lead Instructor

Estimation and Graphs: Videos & Practice Problems

Rounding Review

Round to the specified place value to estimate the calculation. Then compare to the actual result.(A) Nearest tenth: 48.76+19.84–7.2948.76 + 19.84 – 7.29

Round to the specified place value to estimate the calculation. Then compare to the actual result.(B) Nearest whole number: 19.5∙46.7119.5∙46.71

Estimation and Problem Solving

Determine if the following is an estimate or exact value.(A) The distance from the school to the museum is almost 3 miles.

Determine if the following is an estimate or exact value.(B) A standard basketball hoop is 10 feet tall.

Estimation and Problem Solving Example 1

Estimation and Problem Solving Example 2

Estimation with Data and Graphs

Estimation with Data and Graphs Example 3

A souvenir shop tracks the number of custom orders they receive during the first four months of their busy season. Use estimation to answer the questions below.(A) Estimate the number of custom orders in the third month.

A souvenir shop tracks the number of custom orders they receive during the first four months of their busy season. Use estimation to answer the questions below.(B) Estimate the sum of custom orders for the first four months of tourist season.

Estimation with Data and Graphs Example 4

Estimation with Data and Graphs Example 5

Estimation with Data and Graphs Example 6

Your Liberal Arts Math tutors

Round to the specified place value to estimate the calculation. Then compare to the actual result.
(A) Nearest tenth: $48.76 plus 19.84 en dash 7.29$

Round to the specified place value to estimate the calculation. Then compare to the actual result.
(B) Nearest whole number: $19.5 bullet 46.71$

Determine if the following is an estimate or exact value.
(A) The distance from the school to the museum is almost 3 miles.

Determine if the following is an estimate or exact value.
(B) A standard basketball hoop is 10 feet tall.