
Concept explainers
In a set of base-ten blocks, let 1 flat represents 1 unit.
a. What does 1 long represents?
b. What does 1 cube represents?
c. Represent 1.23 using the blocks with these representations.

(a)
To find:
In a set of base-ten block, 1 long represents.
Answer to Problem 1NT
Solution:
1 long represents 110.
Explanation of Solution
Given:
In a set of base-ten blocks, 1 flat represents 1 unit.
Approach:
Write decimal in form of tenths and hundredths.
Calculation:
There are 10 block/ long in 1 flat.
10 long =1 flat1 long = 110 flat ......(1)=0.1 flat
Hence, 1 long/ block represents 0.1 flat.

(b)
To find:
In a set of base-ten block, 1 cube represents.
Answer to Problem 1NT
Solution:
1 cube represents 1100 or 0.01.
Explanation of Solution
Given:
In a set of base-ten blocks, 1 flat represents 1 unit.
Approach:
Write decimal in form of tenths and hundredths.
Calculation:
There are again 10 cubes in 1 long.
10 cube =1 long1 cube=110 long
By equation (1)
1 cube=110×110 flat=1100=0.01 flat.
Hence, 1 cube represents 0.01 flat.

(c)
To represent:
The number 1.23 using blocks.
Answer to Problem 1NT
Solution:
The representation of 1.23 is
Explanation of Solution
Given:
In a set of base-ten blocks, 1 flat represents 1 unit.
Approach:
Write decimal in form of tenths and hundredths.
Calculation:
Here
1 long = 0.1 flat
1 cube = 0.01 flat
1.23=1+0.2+0.03=1+210+3100
Here 1 represent 1 flat,
210 represents 2 longs.
3100 represents 3 cubes.
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