Math: Lesson 1: Adding multiple 3-digit numbers
1. a) 1 + 2 + 3 + 4 + 5 + 6 + 7 =
b) (1 + 2 + 3) + (4 + 5 + 6 + 7)
=
c) (1 + 2 + 3 + 4 + 5) + (6 + 7) =
d) (1 + 2) + 3 + (4 + 5
+ 6 + 7) =
e) 7 + 6 + 5 + 4 + 3 + 2 + 1 =
f) (7 + 6 + 5 + 4)
+ 3 + 2 + 1 =
g) 4 + 1 + 2 + 7 + 3 + 5 + 6 =
h) Did you get
the same answer for #1a-g?
i) What mathematical property says you
can add numbers in any order?
2. a) 2 × 3 =
b) -2 × 3 =
c) 2 × -3 =
d) -2 × -3 =
e) What is
the sign of the result when you multiply:
positive × positive =
negative × negative =
negative × positive =
positive ×
negative =
3. Solve. Show your work
a) 951,212 × 1 = _____________
b) 951,212 × -1 = _____________
c) -951,212 × 1 =
_____________
d) -951,212 × -1 = _____________
4. a) 9 ÷ 3 =
b) -9 ÷ 3 =
c) 9 ÷ -3 =
d) -9 ÷ -3 =
e) Are the
sign rules for division the same or different than multiplication (see
#2e)?
5. Solve. Show your work
a) 1,234,567 ÷ 1 =
_____________
b) 1,234,567 ÷ -1 = _____________
c)
-1,234,567 ÷ 1 = _____________
d) -1,234,567 ÷ -1 = _____________
6. (1 + 2) ÷ 3 + 4 × 5 - (6 + 7) =
7. a) -1 + -2 + -3 + -4 + -5 + -6 + -7 =
b) -1 - 2 - 3 - 4 - 5 - 6 - 7 =
c) -1 + -1×2 + -1×3 + -1×4 +
-1×5 + -1×6 + -1×7 =
d) -1 + (-1×2) + (-1×3) + (-1×4) + (-1×5) +
(-1×6) + (-1×7) =
e) -1 + (2÷-1) + (3÷-1) + (4÷-1) + (5÷-1) +
(6÷-1) + (7÷-1) =
8. a) -2 × -2 =
b) -2 × -2 × -2 =
c)
-2 × -2 × -2 × -2 =
d) -2 × -2 × -2 × -2 × -2 =
e) What is
the sign for multiplying an odd number of negative numbers?
Last updated: Thur, 12/1/22
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