Question

1. circle the true statements.

3 cm is the same length as 300 m.
2 m is the same length as 200 cm.
1 m 25 cm is the same length as 125 cm.
10 cm is the same length as 1 m.

1. a sofa is 192 cm long.

how can you make 192 cm with these units?
____ 100 cm (1 m) __ 10 cm ____ 1 cm
____ 100 cm (1 m) ____ 1 cm
____ 10 cm ____ 1 cm

Explanation:

Step1: Convert units

We know that \(1m = 100cm\).
For the first statement: \(3cm\) and \(300m=300\times100 = 30000cm\), so \(3cm
eq300m\).
For the second statement: \(2m = 2\times100=200cm\), so \(2m = 200cm\).
For the third statement: \(1m25cm=1\times100 + 25=125cm\), so \(1m25cm = 125cm\).
For the fourth statement: \(1m = 100cm
eq10cm\).

Step2: Analyze the second question

\(192cm=100cm+100cm + 10cm+10cm+1cm+1cm\) (or other combinations like \(100cm+9\times10cm+2\times1cm\) etc. But based on the blanks given:
\(192 = 100+10\times9+2\times1\) (not the only way, but following the structure of the problem's blanks).

Answer:

1. The true statements are: \(2m\) is the same length as \(200cm\) and \(1m25cm\) is the same length as \(125cm\).
2. For the sofa length: \(1\) \(100cm(1m)\), \(9\) \(10cm\), \(2\) \(1cm\) (or other valid combinations based on place - value decomposition of \(192\) using \(100\), \(10\), and \(1\) units).