How do you multiply #142\times 60#?

2 Answers
Jul 19, 2018

#8520#

Explanation:

Let's see if we can break up #142#:

#142# is the same as #100+40+2#, and rewriting it in this way makes the multiplication much simpler.

We can rewrite our expression as

#(100*60)+(40*60)+(2*60)#

This simplifies to

#6000+2400+120=8520#

Hope this helps!

Jul 19, 2018

#8520#

Explanation:

Given: #142 xx 60#

One way to multiply is to add the multiplication of each place value component:

#142 = 100 + 40 + 2#

#142 xx 60 = 100 xx 60 + 40 xx 60 + 2 xx 60#

#100# times any whole number is that number plus 2 zeros

#100 xx 60 = 6000#

#4 xx 6 = 24#, then add two zeros, one from each number:

#40 xx 60 = 2400#

#2 xx 60 = 2 xx 6 + "another zero" = 12 + "another zero" = 120#

Now sum them together.

#= 6000 + 2400 + 120 = 8520#