Question

tia cut a 4- meter 8-centimeter wire into 10 equal pieces. Marta cut a 540-centimeter wire into 9 equal pieces. how much longer is one of Marta's wires then one of tia's

Answer 1

For Tia's wire we calculate, the wire is 4 meter and 8 centimeter long, that is to say 408 centimeter long total, and it is divided in 10 pieces, so we do:
tia = 408/10 = 40.8 cm
That is to say that Tia's wire pieces are 40.8 cm long

For Marta's wire, it is 540 centimeter long and is divided into 9 pieces, that is:
marta = 540/9 = 60 cm
Then Marta's wires are longer than those from Tia's, let's see for how much:
marta - tia = 60 - 40.8 = 19.2
therefore, Marta's wires are longer than Tia's wires for 19.2 cm

Answer 2

Marta's wire is 19.2 cm longer than Tia's wire.

Further explanation

Given:

Tia 's wire is 4m 8 cm ⇒ cut into 10 equal pieces

Marta's wire 540 cm ⇒ cut into 9 equal pieces

Question:

How much longer is one of Marta's wires then one of Tia's?

First step, we are going to convert meter to millimeter

Tia's wire = 4 m 8 cm =$\boxed {= (4 m \times\ 100cm) + 8 cm\ }\\\boxed {= 400 + 8\ }\\\boxed {=408 cm\ }$

Second step, calculate each pieces Tia's wire:

She cut this wire into 10 equal pieces:

$\boxed {\frac{408}{10} = 40.8 cm \ }$

So, each pieces is 40.8 cm long

Third step, we are going to calculate Marta's wire:

$\boxed {\frac{540}{9} = 60 cm\ }$

So, each pieces Marta's wire is 60 cm long

Last step, find the difference between Tia's wire and Marta's:

$\boxed {60 - 40.8= 19.2 }$

So, Marta's wire is 19.2 cm longer than Tia's wire

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Keywords: converting, conversion, dividing, subtraction, find the difference, converting meter to centimeter