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Estimation & Order of Operations Quiz

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Estimation, rounding, and order of operations basics.

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Estimation & Order of Operations Quiz
 

Estimation & Order of Operations QuizOnline version

Estimation, rounding, and order of operations basics.

by Ari Tobias
1

In leading-digit rounding, is 59 ≈ 60 rounded up or down?

2

When rounding 4142 to the nearest 100, does it round up or down?

3

Using leading-digit approximation, 42 × 7 ≈ ?

4

Evaluate 5 + 10 ÷ 2 using order of operations: what is the result?

5

Is (2+3)×6 = 2+(3×6) true or false?

6

If you round 58 and 97 to the nearest ten, the sum 58+97 is estimated as what?

7

Round 73 to the nearest ten: what is the result?

8

Estimate 371 × 915 by rounding to the leading digits: what is the approximate product?

9

Round 1849 to the nearest 1000: what is the result?

10

Using order of operations, evaluate 3 + 2 × 4 ÷ 2. What is the result?

11

What is the chemical symbol for water?

12

Which planet is known as the Red Planet?

13

What is the largest mammal on Earth?

14

In mathematics, what is the value of pi (π) to four decimal places?

15

Who wrote Romeo and Juliet?

16

What is the capital city of Japan?

17

Which gas do plants primarily absorb for photosynthesis?

18

What is the square root of 81?

19

Which organ pumps blood through the human body?

20

What is the fastest land animal?

Feedback

Leading-digit rounding moves the first digit up if needed; 59 → 60 is up.

The hundreds digit is 1 (<5), so 4142 rounds down to 4100.

Leading digit method: 40×7 = 280 is a good approximation.

Division comes before addition: 10 ÷ 2 = 5; 5 + 5 = 10.

This is false; brackets change the order of operations.

Round to tens: 60+100 = 160.

Next digit is 3, so round down to 70.

Leading-digit rounding gives 400 × 900 ≈ 360,000; using 400×900 gives 360,000; closest estimate around 360k–400k.

Nearest 1000: 1849 rounds to 2000.

Do division first: 2×4 = 8; 8÷2 = 4; then 3+4 = 7.

Water is H2O, formed by two hydrogen atoms and one oxygen atom.

Mars appears reddish due to iron oxide on its surface.

The blue whale can reach lengths over 100 feet and weigh up to 200 tons.

Pi is an irrational number representing the ratio of a circle's circumference to its diameter.

Shakespeare was an English playwright of the late 16th century.

Tokyo is Japan’s political and economic center.

Plants absorb CO2 and release O2 during photosynthesis.

9 is the number that squared equals 81.

The heart acts as the central pump in the circulatory system.

The cheetah can reach speeds up to about 60-70 mph in short bursts.

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