19. higher order thinking how can you use partial quotients to find 684 ÷ 57? explain. use an estimate to…
19. higher order thinking how can you use partial quotients to find 684 ÷ 57? explain. use an estimate to see if your answer makes sense.
Answer
Explanation:
Step1: Estimate
Estimate (684\div57). Since (57\times10 = 570) and (57\times12=684) (because (57\times10 + 57\times2=570 + 114 = 684)).
Step2: Use partial - quotients method
- First, subtract (57\times10 = 570) from (684). So, (684-570=114).
- Then, subtract (57\times2 = 114) from (114). So, (114 - 114=0).
- The partial quotients are (10) and (2).
Answer:
(684\div57=(57\times10 + 57\times2)\div57=10 + 2=12)