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Synthesize chapter skills into complex mixed-domain problems.
Preview · progress not saved — Chapter 1 is free
Checklist summarizing chapter goals.
Mixed MCQ from end of chapter.
Which of the following numerical expressions does NOT result in a natural number?
Complex brain teaser.
Using the distributive property, simplify:
Hint: First multiply the smaller numbers in each term. Then look for the common factor.
Keep 223 common and group the smaller numbers in each term.
Find the value of each smaller multiplication.
Both terms have 223 as a common factor.
Subtract the two values inside the bracket.
Multiply 223 by the bracket value.
Higher order thinking on counting.
How many times does the digit occur if we write all the numbers from to ?
Hint: Do not write all the numbers. Count the digit by place value: units place and tens place.
Look at numbers ending in 7, like 7, 17, 27, and so on.
Look at numbers from 70 to 79.
Add the counts from Step 1 and Step 2.
The same pattern of ending digits repeats from 101 to 200.
Look at numbers from 170 to 179.
Add the counts from Step 4 and Step 5.
Add both range totals.