Test 2 Topics
Mental Math: additive compensation, multiplicative compensation, equal additions
Algorithms: addition using expanded notation, addition using an intermediate algorithm,
multiplication using partial products.
Definitions: prime, composite, fundamental theorem of arithmetic, factor, divisor, multiple,
gcf, lcm
Divisibility tests: 2, 3, 4, 5, 6, 8, 9, 10
Factor trees
Find gcfs and lcms using set intersection method and prime factorization method
Test 2 Practice Questions
1. Show how to perform 74 − 58 and 62 − 35 using the equal additions method.
2. Using additive or multiplicative compensation to compute 94 + 88, 37 + 48, 25 × 23 × 4,
and 20 × 35.
3. Compute 18 × 7 and 99 × 15 using the distributive property.
4. Compute 568 + 493 using expanded notation, and then using any other intermediate
algorithm.
5. Compute 174 + 259 using base-10 blocks.
6. Compute 27 × 13 using base-10 blocks.
7. Compute 65 × 28 using partial products.
8. Show how to factor 48 using a factor tree.
9. Explain how the fundamental theorem of arithmetic tells you that a number is divisible
by 6 exactly when it is divisible by both 2 and 3.
10. Find the greatest common factor of 28 and 35 using the set intersection method and
using the prime factorization method.
11. Find the least common multiple of 8 and 20 using the set intersection method and using
the prime factorization method.