Multiplicative vs Additive
additive
100 — If one toy costs 6 dollars and one toy is 3 times as expensive as another toy, what operation shows that relationship? (No calculation required.)
100 — multiplication
100 — What operation would you use to find how many groups of 4 are in 20? (Name the operation.)
100 — division
100 — "Ten is 2 times as many as what number?" Write the number sentence and solve.
100 — 10÷2=510÷2=5
100 — Simple two-step: First multiply, then divide. "There are 4 boxes. Each box has 6 packs. Each pack has 2 pencils. How many pencils total?" Show your steps.
100 — 4×6×2=484×6×2=48 pencils
200 — Choose the correct operation: "Liam has 5 times as many marbles as Noah." Should you use multiplication or addition to find how many marbles Liam has? Explain briefly.
multiplication
200 — "A bike is 4 times as fast as a scooter." If the scooter goes 6 miles per hour, how fast is the bike? Show your work
200 — 4×6=244×6=24 mph
200 — A jar holds 36 cookies. If that is 6 times as many as each small bag, how many cookies are in each small bag? Show your work using division.
200 — 36÷6=636÷6=6
200 — A jar holds 36 cookies. If that is 6 times as many as each small bag, how many cookies are in each small bag? Show your work using division.
200 — 4×6=244×6=24 kg
200 — "A teacher buys 5 sets of markers. Each set has 8 markers. The teacher shares the markers equally among 4 groups. How many markers does each group get?" Show steps.
200 — total markers 5×8=405×8=40 then 40÷4=1040÷4=10 markers/group.
Tell whether this comparison is additive or multiplicative: "A ribbon is 4 times as long as another ribbon and is 12 cm long." What kind of comparison is this?
multiplicative
300 — A notebook is 7 times as thick as a single sheet of paper. If the notebook has 21 sheets, how many sheets are in one unit that the comparison uses? (Hint: relate 7 times to 21.)
300 — 7×x=21⇒x=37×x=21⇒x=3 sheets
300 — A plant is 8 times taller than a seedling. The plant is 40 cm tall. Use division to find the seedling's height.
300 — 40÷8=540÷8=5 cm
300 — A plant is 8 times taller than a seedling. The plant is 40 cm tall. Use division to find the seedling's height.
300 — 40÷8=540÷8=5 cm.
300 — "A baker makes 12 trays of cookies with 9 cookies on each tray. He puts cookies into bags of 6. How many full bags can he make?" Show multiplication and division steps.
300 — cookies total 12×9=10812×9=108; full bags 108÷6=18108÷6=18.